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83867008
10.1007/JHEP08(2017)008
The $Z$ boson in the process $pp \to ZH$ and the $W^+_{}$ and $W^-_{}$ in the process $pp \to W^{\pm}_{}H$ can be in polarised states. The polarisation density matrix of the $Z$ ($W$) boson contains the complete information about a state of polarisation of the $Z$ ($W$) boson, and $HZZ$, $HZ\gamma$ and $HWW$ interactions may be studied in detail from a careful analysis of these matrices. In this paper, a systematic approach to analyse these polarisation density matrices is presented. With the aim of making maximum use of the polarisation information, all of the elements of the polarisation density matrices are related with observables, which are measurable at the environment of $pp$ collisions. Consequences of non-standard $HZZ$, $HZ\gamma$ and $HWW$ interactions for these observables are discussed.Comment: 25 pages, 8 figures, 3 tables. v2; the errors in section 2.3 are correcte
Polarisations of the $Z$ and $W$ bosons in the processes $pp \to ZH$ and $pp \to W^{\pm}_{}H$
polarisations of the $z$ and $w$ bosons in the processes $pp \to zh$ and $pp \to w^{\pm}_{}h$
boson polarised states. polarisation boson polarisation boson gamma careful matrices. analyse polarisation presented. polarisation polarisation observables measurable collisions. consequences gamma observables pages tables. correcte
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83833613
10.1007/JHEP08(2017)009
This is the first in a series of papers on the search for the 2D CFT description of a large class of 4D $\mathcal{N} = 1$ gauge theories. Here, we identify the 2D CFT symmetry algebra and its representations, namely the conformal blocks of the Virasoro/W-algebra, that underlie the 2D theory and reproduce the Seiberg-Witten curves of the $\mathcal{N} = 1$ gauge theories. We find that the blocks corresponding to the SU(N) $\mathcal{S}_k$ gauge theories involve fields in certain non-unitary representations of the $W_{kN}$ algebra. These conformal blocks give a prediction for the instanton partition functions of the 4D $\mathcal{N} = 1$ SCFTs of class $\mathcal{S}_k$.Comment: 42 pages,5 figure
2D CFT blocks for the 4D class $\mathcal{S}_k$ theories
2d cft blocks for the 4d class $\mathcal{s}_k$ theories
papers mathcal theories. representations conformal blocks virasoro underlie reproduce seiberg witten mathcal theories. blocks mathcal involve unitary representations algebra. conformal blocks instanton partition mathcal scfts mathcal .comment pages
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73990704
10.1007/JHEP08(2017)010
Defects in field theories break translation invariance, resulting in the non-conservation of the energy-momentum tensor in the directions normal to the defect. This violation is known as the displacement operator. We study 4d ${\cal N}=1$ theories with 3d defects preserving 3d ${\cal N}=1$ supersymmetry by analyzing the embedding of the 3d superspace in the 4d superspace. We use this to construct the energy-momentum multiplet of such defect field theories, which we call the defect multiplet and show how it incorporates the displacement operator. We also derive the defect multiplet by using a superspace Noether procedure.Comment: 42 pages, v2: Fixed TeX package problem, v3: Minor correction
The energy-momentum multiplet of supersymmetric defect field theories
the energy-momentum multiplet of supersymmetric defect field theories
defects break translation invariance conservation directions defect. violation displacement operator. defects preserving supersymmetry analyzing embedding superspace superspace. multiplet defect call defect multiplet incorporates displacement operator. derive defect multiplet superspace noether pages package minor
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83865985
10.1007/JHEP08(2017)011
We use brane techniques to study the space of vacua of abelian 3d $\mathcal{N}=3$ gauge theories. The coordinates on these spaces are the vevs of chiral monopole and meson operators, which are realized in the type IIB brane configuration of the theory by adding semi-infinite $(1,k)$ strings or F1 strings. The study of various brane setups allows us to determine a basis of chiral operators and chiral ring relations relevant to each branch of vacua, leading to the algebraic description of these branches. The method is mostly graphical and does not require actual computations. We apply it and provide explicit results in various examples. For linear quivers we find that the space of vacua has in general a collection of Coulomb-like branches, a Higgs branch and mixed branches. For circular quivers we find an extra branch, the geometric branch, parametrized by monopoles with equal magnetic charges in all $U(1)$ nodes and meson operators. We explain how to include FI and mass deformations. We also study $\mathcal{N}=3$ theories realized with $(p,q)$ 5-branes.Comment: 78 pages, 41 figure
The Space of Vacua of 3d $\mathcal{N}=3$ Abelian Theories
the space of vacua of 3d $\mathcal{n}=3$ abelian theories
brane vacua abelian mathcal theories. vevs chiral monopole meson realized brane adding infinite strings strings. brane setups chiral chiral branch vacua algebraic branches. mostly graphical computations. examples. quivers vacua coulomb branches branch branches. circular quivers extra branch geometric branch parametrized monopoles charges meson operators. deformations. mathcal realized pages
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84092346
10.1007/JHEP08(2017)012
Through timelike dualities, one can generate exotic versions of $M$-theory with different spacetime signatures. These are the $M^*$-theory with signature $(9,2,-)$, the $M'$-theory, with signature $(6,5,+)$ and the theories with reversed signatures $(1,10, -)$, $(2,9, +)$ and $(5,6, -)$. In $(s,t, \pm)$, $s$ is the number of space directions, $t$ the number of time directions, and $\pm$ refers to the sign of the kinetic term of the $3$ form. The only irreducible pseudo-riemannian manifolds admitting absolute parallelism are, besides Lie groups, the seven-sphere $S^7 \equiv SO(8)/SO(7)$ and its pseudo-riemannian version $S^{3,4} \equiv SO(4,4)/SO(3,4)$. [There is also the complexification $SO(8,\mathbb{C})/SO(7, \mathbb{C})$, but it is of dimension too high for our considerations.] The seven-sphere $S^7\equiv S^{7,0}$ has been found to play an important role in $11$-dimensional supergravity, both through the Freund-Rubin solution and the Englert solution that uses its remarkable parallelizability to turn on non trivial internal fluxes. The spacetime manifold is in both cases $AdS_4 \times S^7$. We show that $S^{3,4}$ enjoys a similar role in $M'$-theory and construct the exotic form $AdS_4 \times S^{3,4}$ of the Englert solution, with non zero internal fluxes turned on. There is no analogous solution in $M^*$-theory.Comment: 18 pages, v2: typos fixe
Timelike duality, $M'$-theory and an exotic form of the Englert solution
timelike duality, $m'$-theory and an exotic form of the englert solution
timelike dualities exotic versions spacetime signatures. signature signature reversed signatures directions directions refers form. irreducible pseudo riemannian manifolds admitting parallelism besides seven sphere equiv pseudo riemannian equiv complexification mathbb mathbb considerations. seven sphere equiv supergravity freund rubin englert remarkable parallelizability trivial fluxes. spacetime manifold enjoys exotic englert fluxes turned analogous pages typos fixe
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83837335
10.1007/JHEP08(2017)013
This is the second part of two papers where we study the effect of integrable line defects on bipartite entanglement entropy in integrable field theories. In this paper, we consider non-topological line defects in Ising field theory. We derive an infinite series expression for the entanglement entropy and show that both the UV and IR limits of the bulk entanglement entropy are modified by the line defect. In the UV limit, we give an infinite series expression for the coefficient in front of the logarithmic divergence and the exact defect $g$-function. By tuning the defect to be purely transmissive and reflective, we recover correctly the entanglement entropy of the bulk and with integrable boundary.Comment: 30 pages, references added, typos corrected, publication versio
Entanglement Entropy in Integrable Field Theories with Line Defects II. Non-topological Defect
entanglement entropy in integrable field theories with line defects ii. non-topological defect
papers integrable defects bipartite entanglement integrable theories. topological defects ising theory. derive infinite entanglement entanglement defect. infinite front logarithmic divergence defect function. tuning defect purely transmissive reflective recover correctly entanglement integrable pages typos corrected publication versio
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83860727
10.1007/JHEP08(2017)014
The worldvolume actions of 3+1 dimensional bosonic branes embedded in a five-dimensional bulk space can lead to important effective field theories, such as the DBI conformal Galileons, and may, when the Null Energy Condition is violated, play an essential role in cosmological theories of the early universe. These include Galileon Genesis and "bouncing" cosmology, where a pre-Big Bang contracting phase bounces smoothly to the presently observed expanding universe. Perhaps the most natural arena for such branes to arise is within the context of superstring and $M$-theory vacua. Here, not only are branes required for the consistency of the theory, but, in many cases, the exact spectrum of particle physics occurs at low energy. However, such theories have the additional constraint that they must be $N=1$ supersymmetric. This motivates us to compute the worldvolume actions of $N=1$ supersymmetric three-branes, first in flat superspace and then to generalize them to $N=1$ supergravitation. In this paper, for simplicity, we begin the process, not within the context of a superstring vacuum but, rather, for the conformal Galileons arising on a co-dimension one brane embedded in a maximally symmetric $AdS_{5}$ bulk space. We proceed to $N=1$ supersymmetrize the associated worldvolume theory and then generalize the results to $N=1$ supergravity, opening the door to possible new cosmological scenarios.Comment: 39 pages, 1 figure. Version 4: Typos corrected, minor points on notation clarifie
Supergravitational Conformal Galileons
supergravitational conformal galileons
worldvolume bosonic branes embedded conformal galileons violated cosmological universe. galileon genesis bouncing cosmology bang contracting bounces smoothly presently expanding universe. perhaps arena branes arise superstring vacua. branes consistency energy. supersymmetric. motivates worldvolume supersymmetric branes superspace generalize supergravitation. simplicity begin superstring conformal galileons arising brane embedded maximally space. proceed supersymmetrize worldvolume generalize supergravity opening door cosmological pages figure. typos corrected minor notation clarifie
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83858877
10.1007/JHEP08(2017)015
Lorentzian continuation of the Sine-Liouville model describes non-homogeneous rolling closed string tachyon. Via T-duality, this relates to the gauged $H_+^3$ Wess-Zumino-Witten model at subcritical level. This model is exactly solvable. We give a closed formula for the 3-point correlation functions for the model at level k within the range 0<k<2, which relates to the analogous quantity for k>2 in a similar way as how the Harlow-Maltz-Witten 3-point function of timelike Liouville field theory relates to the analytic continuation of the Dorn-Otto-Zamolodchikov-Zamolodchikov structure constants: We find that the ratio between both 3-point functions can be written in terms of the Jacobi's $\theta $-function, while their product exhibits remarkable cancellations and eventually factorizes. Our formula is consistent with previous proposals made in the literature.Comment: 26 pages. V2 discussion extended. Version to appear in JHE
On non-homogeneous tachyon condensation in closed string theory
on non-homogeneous tachyon condensation in closed string theory
lorentzian continuation sine liouville describes homogeneous rolling tachyon. duality relates gauged wess zumino witten subcritical level. solvable. relates analogous quantity harlow maltz witten timelike liouville relates analytic continuation dorn otto zamolodchikov zamolodchikov jacobi theta exhibits remarkable cancellations eventually factorizes. proposals pages. extended.
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73383423
10.1007/JHEP08(2017)018
Heavy neutrinos with masses below the electroweak scale can simultaneously generate the light neutrino masses via the seesaw mechanism and the baryon asymmetry of the universe via leptogenesis. The requirement to explain these phenomena imposes constraints on the mass spectrum of the heavy neutrinos, their flavour mixing pattern and their $CP$ properties. We first combine bounds from different experiments in the past to map the viable parameter regions in which the minimal low scale seesaw model can explain the observed neutrino oscillations, while being consistent with the negative results of past searches for physics beyond the Standard Model. We then study which additional predictions for the properties of the heavy neutrinos can be made based on the requirement to explain the observed baryon asymmetry of the universe. Finally, we comment on the perspectives to find traces of heavy neutrinos in future experimental searches at the LHC, NA62, BELLE II, T2K, SHiP or a future high energy collider, such as ILC, CEPC or FCC-ee. If any heavy neutral leptons are discovered in the future, our results can be used to assess whether these particles are indeed the common origin of the light neutrino masses and the baryon asymmetry of the universe. If the magnitude of their couplings to all Standard Model flavours can be measured individually, and if the Dirac phase in the lepton mixing matrix is determined in neutrino oscillation experiments, then all model parameters can in principle be determined from this data. This makes the low scale seesaw a fully testable model of neutrino masses and baryogenesis.Comment: We corrected errors in the experimental sensitivities and in the discussion of the full testability of the model. We also added and updated plots and references. 37 pages plus appendix, 12 figure
Testing the low scale seesaw and leptogenesis
testing the low scale seesaw and leptogenesis
neutrinos electroweak simultaneously seesaw baryon asymmetry universe leptogenesis. requirement phenomena imposes neutrinos flavour properties. combine bounds viable seesaw oscillations searches model. neutrinos requirement baryon asymmetry universe. comment perspectives traces neutrinos searches belle ship collider cepc neutral leptons discovered baryon asymmetry universe. couplings flavours individually dirac lepton oscillation data. seesaw testable corrected sensitivities testability model. updated plots references. pages
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84091498
10.1007/JHEP08(2017)019
We show how any flavour conserving $Z'$ model can be made flavour violating and non-universal by introducing mass mixing of quarks and leptons with a fourth family of vector-like fermions with non-universal $Z'$ couplings. After developing a general formalism, we focus on two concrete examples, namely a fermiophobic model, and an $SO(10)$ GUT model, and show how they can account for the anomalous $B$ decay ratios $R_K$ and $R_{K^*}$. A similar analysis could be performed for $B-L$ models, $E_6$ models, composite models, and so on.Comment: 21 pages, references added, typos corrected, to appear in JHE
Flavourful $Z'$ models for $R_{K^{(*)}}$
flavourful $z'$ models for $r_{k^{(*)}}$
flavour conserving flavour violating universal introducing quarks leptons fourth fermions universal couplings. formalism concrete fermiophobic anomalous composite pages typos corrected
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83857896
10.1007/JHEP08(2017)020
We calculate the leading contributions to the connected two-point functions of protected scalar operators in the defect version of N=4 SYM theory which is dual to the D5-D3 probe-brane system with k units of background gauge field flux. This involves several types of two-point functions which are vanishing in the theory without the defect, such as two-point functions of operators of unequal conformal dimension. We furthermore exploit the operator product expansion (OPE) and the boundary operator expansion (BOE), which form the basis of the boundary conformal bootstrap equations, to extract conformal data both about the defect CFT and about N=4 SYM theory without the defect. From the knowledge of the one- and two-point functions of the defect theory, we extract certain structure constants of N=4 SYM theory using the (bulk) OPE and constrain certain bulk-bulk-to-boundary couplings using the BOE. The extraction of the former relies on a non-trivial, polynomial k dependence of the one-point functions, which we explicitly demonstrate. In addition, it requires the knowledge of the one-point functions of SU$(2)$ descendant operators, which we likewise explicitly determine.Comment: 34 pages, 2 figure
Two-point functions in AdS/dCFT and the boundary conformal bootstrap equations
two-point functions in ads/dcft and the boundary conformal bootstrap equations
protected defect brane flux. involves vanishing defect unequal conformal dimension. exploit conformal bootstrap extract conformal defect defect. defect extract constrain couplings boe. extraction former relies trivial explicitly demonstrate. descendant likewise explicitly pages
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83860161
10.1007/JHEP08(2017)021
We construct the Lagrangian formulation of massive higher spin on-shell (1,0) supermultiplets in three dimensional anti-de Sitter space. The construction is based on description of the massive three dimensional fields in terms of frame-like gauge invariant formalism and technique of gauge invariant curvatures. For the two possible massive supermultiplets (s,s+1/2) and (s,s-1/2) we derive explicit form of the supertransformations leaving the sum of bosonic and fermionic Lagrangians invariant.Comment: 22 pages, no figures; v2: comments, references and new section added, 26 page
Lagrangian description of massive higher spin supermultiplets in AdS_3 space
lagrangian description of massive higher spin supermultiplets in ads_3 space
lagrangian formulation massive supermultiplets sitter space. massive formalism curvatures. massive supermultiplets derive supertransformations leaving bosonic fermionic lagrangians pages comments
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83864778
10.1007/JHEP08(2017)022
We present the three-loop calculation of the Bremsstrahlung function associated to the 1/2-BPS cusp in ABJM theory, including color subleading corrections. Using the BPS condition we reduce the computation to that of a cusp with vanishing angle. We work within the framework of heavy quark effective theory (HQET) that further simplifies the analytic evaluation of the relevant cusp anomalous dimension in the near-BPS limit. The result passes nontrivial tests, such as exponentiation, and is in agreement with the conjecture made in [1] for the exact expression of the Bremsstrahlung function, based on the relation with fermionic latitude Wilson loops.Comment: 46 pages, 15 figure
Towards the exact Bremsstrahlung function of ABJM theory
towards the exact bremsstrahlung function of abjm theory
bremsstrahlung cusp abjm subleading corrections. cusp vanishing angle. hqet simplifies analytic cusp anomalous limit. passes nontrivial exponentiation conjecture bremsstrahlung fermionic latitude wilson pages
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74203497
10.1007/JHEP08(2017)023
We compute the topologically twisted index for general $\mathcal{N} = 2$ supersymmetric field theories on $\mathbb{H}_2\times S^1$. We also discuss asymptotically $AdS_4$ magnetically charged black holes with hyperbolic horizon, in four-dimensional $\mathcal{N} = 2$ gauged supergravity. With certain assumptions, put forward by Benini, Hristov and Zaffaroni, we find precise agreement between the black hole entropy and the topologically twisted index, for $ABJM$ theories.Comment: 39 pp + appendices, v2: references added, typos correcte
Microstate Counting of $AdS_4$ Hyperbolic Black Hole Entropy via the Topologically Twisted Index
microstate counting of $ads_4$ hyperbolic black hole entropy via the topologically twisted index
topologically twisted mathcal supersymmetric mathbb asymptotically magnetically holes hyperbolic horizon mathcal gauged supergravity. assumptions benini hristov zaffaroni precise topologically twisted abjm appendices typos correcte
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42743914
10.1007/JHEP08(2017)025
The Weak Gravity Conjecture postulates the existence of superextremal charged particles, i.e. those with mass smaller than or equal to their charge in Planck units. We present further evidence for our recent observation that in known examples a much stronger statement is true: an infinite tower of superextremal particles of different charges exists. We show that effective Kaluza-Klein field theories and perturbative string vacua respect the Sublattice Weak Gravity Conjecture, namely that a finite index sublattice of the full charge lattice exists with a superextremal particle at each site. In perturbative string theory we show that this follows from modular invariance. However, we present counterexamples to the stronger possibility that a superextremal particle exists at every lattice site, including an example in which the lightest charged particle is subextremal. The Sublattice Weak Gravity Conjecture has many implications both for abstract theories of quantum gravity and for real-world physics. For instance, it implies that if a gauge group with very small coupling $e$ exists, then the fundamental gravitational cutoff energy of the theory is no higher than $\sim e^{1/3} M_{\rm Pl}$.Comment: v2: 41 pages, typos fixed, references added, substantial revisions and clarifications (conclusions unchanged
Evidence for a Lattice Weak Gravity Conjecture
evidence for a lattice weak gravity conjecture
conjecture postulates superextremal i.e. planck units. stronger statement infinite tower superextremal charges exists. kaluza klein perturbative vacua sublattice conjecture sublattice superextremal site. perturbative modular invariance. counterexamples stronger superextremal lightest subextremal. sublattice conjecture physics. gravitational cutoff .comment pages typos substantial revisions clarifications unchanged
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84092889
10.1007/JHEP08(2017)027
We present measurements of relativistic scaling relations in $(2+1)$-dimensional conformal fluid turbulence from direct numerical simulations, in the weakly compressible regime. These relations were analytically derived previously in Westernacher-Schneider, Lehner, Oz (2015) for a relativistic fluid; this work is a continuation of that study, providing further analytical insights together with numerical experiments to test the scaling relations and extract other important features characterizing the turbulent behavior. We first explicitly demonstrate that the non-relativistic limit of these scaling relations reduce to known results from the statistical theory of incompressible Navier-Stokes turbulence. In simulations of the inverse-cascade range, we find the relevant relativistic scaling relation is satisfied to a high degree of accuracy. We observe that the non-relativistic versions of this scaling relation underperform the relativistic one in both an absolute and relative sense, with a progressive degradation as the rms Mach number increases from $0.14$ to $0.19$. In the direct-cascade range, the two relevant relativistic scaling relations are satisfied with a lower degree of accuracy in a simulation with rms Mach number $0.11$. We elucidate the poorer agreement with further simulations of an incompressible Navier-Stokes fluid. Finally, as has been observed in the incompressible Navier-Stokes case, we show that the energy spectrum in the inverse-cascade of the conformal fluid exhibits $k^{-2}$ scaling rather than the Kolmogorov/Kraichnan expectation of $k^{-5/3}$, and that it is not necessarily associated with compressive effects. We comment on the implications for a recent calculation of the fractal dimension of a turbulent $(3+1)$-dimensional AdS black brane.Comment: 18 pages, 10 figures, 1 table. To be submitted to JHEP - comments welcome. V2 contains a technical edit for the JHEP compiler, as well as minor grammatical correction
Numerical Measurements of Scaling Relations in Two-Dimensional Conformal Fluid Turbulence
numerical measurements of scaling relations in two-dimensional conformal fluid turbulence
relativistic conformal turbulence weakly compressible regime. analytically westernacher schneider lehner relativistic continuation insights extract characterizing turbulent behavior. explicitly relativistic incompressible navier stokes turbulence. cascade relativistic satisfied accuracy. relativistic versions underperform relativistic progressive degradation mach cascade relativistic satisfied mach elucidate poorer incompressible navier stokes fluid. incompressible navier stokes cascade conformal exhibits kolmogorov kraichnan expectation necessarily compressive effects. comment fractal turbulent pages table. submitted jhep comments welcome. edit jhep compiler minor grammatical
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83862825
10.1007/JHEP08(2017)028
We calculate loop induced lepton flavor violating Higgs decays in the Littlest Higgs model with T-parity. We find that a finite amplitude is obtained only when all contributions from the T-odd lepton sector are included. This is in contrast to lepton flavor violating processes mediated by gauge bosons where the partners of the right-handed mirror leptons can be decoupled from the spectrum. These partners are necessary to cancel the divergence in the Higgs mass introduced by the mirror leptons but are otherwise unnecessary and assumed to be decoupled in previous phenomenological studies. Furthermore, as we emphasize, including the partner leptons in the spectrum also introduces a new source of lepton flavor violation via their couplings to the physical pseudo-Goldstone electroweak triplet scalar. Although this extra source also affects lepton flavor changing gauge transitions, it decouples from these amplitudes in the limit of heavy mass for the partner leptons. We find that the corresponding Higgs branching ratio into taus and muons can be as large as $\sim 0.2 \times 10^{-6}$ for T-odd masses of the order a few TeV, a demanding challenge even for the high luminosity LHC.Comment: 26 pages, 1 figure. Typos correcte
Lepton Flavor Changing Higgs decays in the Littlest Higgs Model with T-parity
lepton flavor changing higgs decays in the littlest higgs model with t-parity
lepton flavor violating decays littlest parity. lepton included. lepton flavor violating bosons partners handed mirror leptons decoupled spectrum. partners cancel divergence mirror leptons unnecessary decoupled phenomenological studies. emphasize partner leptons introduces lepton flavor violation couplings pseudo goldstone electroweak triplet scalar. extra affects lepton flavor changing decouples amplitudes partner leptons. branching taus muons demanding challenge luminosity pages figure. typos correcte
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83856320
10.1007/JHEP08(2017)030
For three-dimensional ABJ(M) theories and $\mathcal N=4$ Chern-Simons-matter quiver theories, we construct two sets of 1/2 BPS Wilson loop operators by applying the Higgsing procedure along independent directions of the moduli space, and choosing different massive modes. For theories whose dual M-theory description is known, we also determine the corresponding spectrum of 1/2 BPS M2-brane solutions. We identify the supercharges in M-theory and field theory, as well as the supercharges preserved by M2-/anti-M2-branes and 1/2 BPS Wilson loops. In particular, in $\mathcal N=4$ orbifold ABJM theory we find pairs of different 1/2 BPS Wilson loops that preserve exactly the same set of supercharges. In field theory they arise by Higgsing with the choice of either particles or antiparticles, whereas in the dual description they correspond to a pair of M2-/anti-M2-branes localized at different positions in the compact space. This result enlightens the origin of classical Wilson loop degeneracy in these theories, already discussed in arXiv:1506.07614. A discussion on possible scenarios that emerge by comparison with localization results is included.Comment: 52 pages, 4 figures; V2, 61 pages, 4 figures, supercharges in gravity and field theory identified, conclusion unchanged, published versio
String theory duals of Wilson loops from Higgsing
string theory duals of wilson loops from higgsing
mathcal chern simons quiver wilson higgsing directions moduli choosing massive modes. brane solutions. supercharges supercharges preserved branes wilson loops. mathcal orbifold abjm wilson loops preserve supercharges. arise higgsing antiparticles branes localized space. enlightens wilson degeneracy scenarios emerge localization pages pages supercharges unchanged versio
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73959130
10.1007/JHEP08(2017)031
We discuss electric dipole moments (EDMs) in the framework of CP-violating natural supersymmetry (SUSY). Recent experimental results have significantly tightened constraints on the EDMs of electrons and of mercury, and substantial further progress is expected in the near future. We assess how these results constrain the parameter space of natural SUSY. In addition to our discussion of SUSY, we provide a set of general formulas for two-loop fermion EDMs, which can be applied to a wide range of models of new physics. In the SUSY context, the two-loop effects of stops and charginos respectively constrain the phases of $A_t \mu$ and $M_2 \mu$ to be small in the natural part of parameter space. If the Higgs mass is lifted to 125 GeV by a new tree-level superpotential interaction and soft term with CP-violating phases, significant EDMs can arise from the two-loop effects of $W$ bosons and tops. We compare the bounds arising from EDMs to those from other probes of new physics including colliders, $b \to s \gamma$, and dark matter searches. Importantly, improvements in reach not only constrain higher masses, but require the phases to be significantly smaller in the natural parameter space at low mass. The required smallness of phases sharpens the CP problem of natural SUSY model building.Comment: 37 pages plus appendices, 16 figures; v2: journal versio
Electric Dipole Moments in Natural Supersymmetry
electric dipole moments in natural supersymmetry
dipole moments edms violating supersymmetry susy tightened edms mercury substantial progress future. constrain susy. susy formulas fermion edms physics. susy stops charginos constrain space. lifted superpotential violating edms arise bosons tops. bounds arising edms probes colliders gamma searches. importantly improvements constrain mass. smallness sharpens susy pages appendices versio
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73439221
10.1007/JHEP08(2017)032
We compute the one-loop threshold corrections to the gauge and gravitational couplings for a large class of N=2 non-K\"ahler heterotic compactifications with three-form flux, consisting in principal two-torus bundles over K3 surfaces. We obtain the results as sums of BPS-states contributions, depending on the topological data of the bundle. We analyse also the worldsheet non-perturbative corrections coming from instantons wrapping the torus fiber, that are mapped under S-duality to D-instanton corrections in type I flux compactifications.Comment: 36 page
Threshold corrections in heterotic flux compactifications
threshold corrections in heterotic flux compactifications
gravitational couplings ahler heterotic compactifications consisting principal torus bundles surfaces. sums topological bundle. analyse worldsheet perturbative coming instantons wrapping torus fiber mapped duality instanton
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83863313
10.1007/JHEP08(2017)033
We present a world-sheet formula for all tree level scattering amplitudes, in all trace sectors, of four dimensional $\mathcal{N} \leq 4$ supersymmetric Einstein-Yang-Mills theory, based on the refined scattering equations. This generalizes previously known formulas for all-trace purely bosonic, or supersymmetric single-trace amplitudes. We find this formula by applying a new chiral splitting formula for all CHY Pfaffians in 4d, into two determinants, of positive and negative helicity respectively. The splitting of CHY Pfaffians is shown to be a special case of the splitting of $T\mathbb{M}$ valued fermion correlators on the sphere, which does not require the scattering equations to hold, and is a consequence of the isomorphism $T\mathbb{M} \simeq \mathbb{S}^+ \otimes \mathbb{S}^-$ between the tangent bundle of Minkowski space and the left- and right-handed spin bundles. We present and prove this general splitting formula.Comment: 21 page
Chiral Splitting and $\mathcal N = 4$ Einstein--Yang--Mills Tree Amplitudes in 4d
chiral splitting and $\mathcal n = 4$ einstein--yang--mills tree amplitudes in 4d
sheet amplitudes trace sectors mathcal supersymmetric einstein mills refined equations. generalizes formulas trace purely bosonic supersymmetric trace amplitudes. chiral splitting pfaffians determinants helicity respectively. splitting pfaffians splitting mathbb valued fermion correlators sphere hold isomorphism mathbb simeq mathbb otimes mathbb tangent bundle minkowski handed bundles. splitting
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83858326
10.1007/JHEP08(2017)034
We propose a generalisation of the Weak Gravity Conjecture in the presence of scalar fields. The proposal is guided by properties of extremal black holes in ${\cal N}=2$ supergravity, but can be understood more generally in terms of forbidding towers of stable gravitationally bound states. It amounts to the statement that there must exist a particle on which the gauge force acts more strongly than gravity and the scalar forces combined. We also propose that the scalar force itself should act on this particle stronger than gravity. This implies that generically the mass of this particle decreases exponentially as a function of the scalar field expectation value for super-Planckian variations, which is behaviour predicted by the Refined Swampland Conjecture. In the context of ${\cal N}=2$ supergravity the Weak Gravity Conjecture bound can be tied to bounds on scalar field distances in field space. Guided by this, we present a general proof that for any linear combination of moduli in any Calabi-Yau compactification of string theory the proper field distance grows at best logarithmically with the moduli values for super-Planckian distances.Comment: 25 pages. v2: Modified and extended section 4.1. v3: Clarifications added, published versio
The Weak Gravity Conjecture and Scalar Fields
the weak gravity conjecture and scalar fields
propose generalisation conjecture fields. proposal guided extremal holes supergravity understood forbidding towers gravitationally states. amounts statement acts forces combined. propose stronger gravity. generically exponentially expectation super planckian refined swampland conjecture. supergravity conjecture tied bounds distances space. guided moduli calabi compactification proper grows logarithmically moduli super planckian pages. clarifications versio
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83841439
10.1007/JHEP08(2017)036
We compute the leading-order evolution of parton distribution functions for all the Standard Model fermions and bosons up to energy scales far above the electroweak scale, where electroweak symmetry is restored. Our results include the 52 PDFs of the unpolarized proton, evolving according to the SU(3), SU(2), U(1), mixed SU(2) x U(1) and Yukawa interactions. We illustrate the numerical effects on parton distributions at large energies, and show that this can lead to important corrections to parton luminosities at a future 100 TeV collider.Comment: 30 pages, 7 figures. Improved treatment of input PDFs at 100 GeV. Adjusted plotting style to show features more clearly. Main results and conclusions unchange
Standard Model Parton Distributions at Very High Energies
standard model parton distributions at very high energies
parton fermions bosons electroweak electroweak restored. pdfs unpolarized proton evolving yukawa interactions. illustrate parton parton luminosities pages figures. pdfs gev. adjusted plotting style clearly. unchange
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84092423
10.1007/JHEP08(2017)038
We study possible applications of artificial neural networks to examine the string landscape. Since the field of application is rather versatile, we propose to dynamically evolve these networks via genetic algorithms. This means that we start from basic building blocks and combine them such that the neural network performs best for the application we are interested in. We study three areas in which neural networks can be applied: to classify models according to a fixed set of (physically) appealing features, to find a concrete realization for a computation for which the precise algorithm is known in principle but very tedious to actually implement, and to predict or approximate the outcome of some involved mathematical computation which performs too inefficient to apply it, e.g. in model scans within the string landscape. We present simple examples that arise in string phenomenology for all three types of problems and discuss how they can be addressed by evolving neural networks from genetic algorithms.Comment: 17 pages, 7 figures, references added, typos corrected, extended introductory sectio
Evolving neural networks with genetic algorithms to study the String Landscape
evolving neural networks with genetic algorithms to study the string landscape
artificial examine landscape. versatile propose dynamically evolve algorithms. blocks combine performs interested classify physically appealing concrete realization precise tedious implement predict approximate mathematical performs inefficient e.g. scans landscape. arise phenomenology addressed evolving pages typos corrected introductory sectio
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83835867
10.1007/JHEP08(2017)039
We extend kinematic space to a simple scenario where the state is not fixed by conformal invariance: the vacuum of a conformal field theory with a boundary (bCFT). We identify the kinematic space associated with the boundary operator product expansion (bOPE) as a subspace of the full kinematic space. In addition, we establish representations of the corresponding bOPE blocks in a dual gravitational description. We show how the new kinematic dictionary and the dynamical data in bOPE allows one to reconstruct the bulk geometry. This is evidence that kinematic space may be a useful construction for understanding bulk physics beyond just kinematics.Comment: 27 pages, 2 figure
Boundary Kinematic Space
boundary kinematic space
extend kinematic conformal invariance conformal bcft kinematic bope subspace kinematic space. establish representations bope blocks gravitational description. kinematic dictionary bope reconstruct geometry. kinematic pages
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83848336
10.1007/JHEP08(2017)040
Both k-essence and the pressureless perfect fluid develop caustic singularities at finite time. We further explore the connection between the two and show that they belong to the same class of models, which admits the caustic free completion by means of the canonical complex scalar field. Specifically, the free massive/self-interacting complex scalar reproduces dynamics of pressureless perfect fluid/shift-symmetric k-essence under certain initial conditions in the limit of large mass/sharp self-interacting potential. We elucidate a mechanism of resolving caustic singularities in the complete picture. The collapse time is promoted to complex number. Hence, the singularity is not developed in real time. The same conclusion holds for a collection of collisionless particles modelled by means of the Schroedinger equation, or ultra-light axions (generically, coherent oscillations of bosons in the Bose--Einstein condensate state).Comment: 20 pages, 2 figures; clarifications and references added. Matches published versio
Caustic free completion of pressureless perfect fluid and k-essence
caustic free completion of pressureless perfect fluid and k-essence
essence pressureless perfect caustic singularities time. explore connection belong admits caustic completion canonical field. massive interacting reproduces pressureless perfect essence sharp interacting potential. elucidate resolving caustic singularities picture. collapse promoted number. singularity time. collisionless modelled schroedinger ultra axions generically coherent oscillations bosons bose einstein condensate .comment pages clarifications added. matches versio
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84092513
10.1007/JHEP08(2017)041
We study the entanglement entropy, the R\'enyi entropy, and the mutual (R\'enyi) information of Dirac fermions on a 2 dimensional torus in the presence of constant gauge fields. We derive their general formulas using the equivalence between twisted boundary conditions and the background gauge fields. Novel and interesting physical consequences have been presented in arXiv:1705.01859. Here we provide detailed computations of the entropies and mutual information in a low temperature limit, a large radius limit, and a high temperature limit. The high temperature limit reveals rather different physical properties compared to those of the low temperature one: there exist two non-trivial limits that depend on a modulus parameter and are not smoothly connected.Comment: 37 pages, v2: some formulas in section 4.3 are correcte
Entanglement Entropy with Background Gauge Fields
entanglement entropy with background gauge fields
entanglement enyi mutual enyi dirac fermions torus fields. derive formulas equivalence twisted fields. consequences computations entropies mutual limit. reveals trivial modulus smoothly pages formulas correcte
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83856227
10.1007/JHEP08(2017)042
We study the coupling of a 2+1 dimensional non-relativistic spin 1/2 fermion to a curved Newton-Cartan geometry, using null reduction from an extra-dimensional relativistic Dirac action in curved spacetime. We analyze Weyl invariance in detail: we show that at the classical level it is preserved in an arbitrary curved background, whereas at the quantum level it is broken by anomalies. We compute the trace anomaly using the Heat Kernel method and we show that the anomaly coefficients a, c are proportional to the relativistic ones for a Dirac fermion in 3+1 dimensions. As for the previously studied scalar case, these coefficents are proportional to 1/m, where m is the non-relativistic mass of the particle.Comment: 23 page
Trace anomaly for non-relativistic fermions
trace anomaly for non-relativistic fermions
relativistic fermion curved newton cartan extra relativistic dirac curved spacetime. analyze weyl invariance preserved curved broken anomalies. trace anomaly kernel anomaly relativistic dirac fermion dimensions. coefficents relativistic
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83858677
10.1007/JHEP08(2017)043
We construct supersymmetric AdS_3 solutions in F-theory, that is Type IIB supergravity with varying axio-dilaton, which are holographically dual to 2d N=(0,4) superconformal field theories with small superconformal algebra. In F-theory these arise from D3-branes wrapped on curves in the base of an elliptically fibered Calabi-Yau threefold Y_3 and correspond to strings in the 6d N=(1,0) theory obtained from F-theory on Y_3. The non-trivial fibration over the wrapped curves implies a varying coupling of the N=4 Super-Yang-Mills theory on the D3-branes. We compute the holographic central charges and show that these agree with the field theory and with the anomalies of self-dual strings in 6d. We complement our analysis with a discussion of the dual M-theory solutions and a comparison of the central charges.Comment: 83 pages, v2: references added, typos correcte
F-theory and AdS_3/CFT_2
f-theory and ads_3/cft_2
supersymmetric supergravity axio dilaton holographically superconformal superconformal algebra. arise branes wrapped elliptically fibered calabi threefold strings trivial fibration wrapped super mills branes. holographic charges agree anomalies strings complement pages typos correcte
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73959996
10.1007/JHEP08(2017)044
For any 4d N=2 SCFT, there is a subsector described by a 2d chiral algebra. The vacuum character of the chiral algebra reproduces the Schur index of the corresponding 4d theory. The Macdonald index counts the same set of operators as the Schur index, but the former has one more fugacity than the latter. We conjecture a prescription to obtain the Macdonald index from the chiral algebra. The vacuum module admits a filtration, from which we construct an associated graded vector space. From this grading, we conjecture a notion of refined character for the vacuum module of a chiral algebra, which reproduces the Macdonald index. We test this prescription for the Argyres-Douglas theories of type $(A_1, A_{2n})$ and $(A_1, D_{2n+1})$ where the chiral algebras are given by Virasoro and su(2) affine Kac-Moody algebra. When the chiral algebra has more than one family of generators, our prescription requires a knowledge of the generators from the 4d.Comment: 25 pages, v2: major revision. Clarified the prescription to get the Macdonald grading; v3: corrected hyperlinks to the references. To appear in JHE
Macdonald Index and Chiral Algebra
macdonald index and chiral algebra
scft subsector chiral algebra. character chiral reproduces schur theory. macdonald counts schur former fugacity latter. conjecture prescription macdonald chiral algebra. module admits filtration graded space. grading conjecture notion refined character module chiral reproduces macdonald index. prescription argyres douglas chiral algebras virasoro affine moody algebra. chiral generators prescription generators pages revision. clarified prescription macdonald grading corrected hyperlinks references.
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83862002
10.1007/JHEP08(2017)045
We compute four-point functions of two heavy and two "perturbatively heavy" operators in the semiclassical limit of Liouville theory on the sphere. We obtain these "Heavy-Heavy-Light-Light" (HHLL) correlators to leading order in the conformal weights of the light insertions in two ways: (a) via a path integral approach, combining different methods to evaluate correlation functions from complex solutions for the Liouville field, and (b) via the conformal block expansion. This latter approach identifies an integral over the continuum of normalizable states and a sum over an infinite tower of lighter discrete states, whose contribution we extract by analytically continuing standard results to our HHLL setting. The sum over this tower reproduces the sum over those complex saddlepoints of the path integral that contribute to the correlator. Our path integral computations reveal that when the two light operators are inserted at equal time in radial quantization, the leading-order HHLL correlator is independent of their separation, and more generally that at this order there is no short-distance singularity as the two light operators approach each other. The conformal block expansion likewise shows that in the discrete sum short-distance singularities are indeed absent for all intermediate states that contribute. In particular, the Virasoro vacuum block, which would have been singular at short distances, is not exchanged. The separation-independence of equal-time correlators is due to cancelations between the discrete contributions. These features lead to a Lorentzian singularity that, in conformal theories with anti-de Sitter (AdS) duals, would be associated to locality below the AdS scale.Comment: 40 pages, 1 figure; v2: clarifications added, minor typos corrected, published versio
Heavy-Heavy-Light-Light correlators in Liouville theory
heavy-heavy-light-light correlators in liouville theory
perturbatively semiclassical liouville sphere. hhll correlators conformal weights insertions ways combining liouville conformal expansion. identifies continuum normalizable infinite tower lighter extract analytically continuing hhll setting. tower reproduces saddlepoints correlator. computations reveal inserted quantization hhll correlator singularity other. conformal likewise singularities absent contribute. virasoro singular distances exchanged. independence correlators cancelations contributions. lorentzian singularity conformal sitter duals locality pages clarifications minor typos corrected versio
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83867086
10.1007/JHEP08(2017)047
We apply a formalism accounting for thermal effects (such as modified Sommerfeld effect; Salpeter correction; decohering scatterings; dissociation of bound states), to one of the simplest WIMP-like dark matter models, associated with an "inert" Higgs doublet. A broad temperature range T ~ M/20...M/10^4 is considered, stressing the importance and less-understood nature of late annihilation stages. Even though only weak interactions play a role, we find that resummed real and virtual corrections increase the tree-level overclosure bound by 1...18%, depending on quartic couplings and mass splittings.Comment: 29 pages. v2: clarifications added, published versio
Re-derived overclosure bound for the inert doublet model
re-derived overclosure bound for the inert doublet model
formalism accounting sommerfeld salpeter decohering scatterings dissociation simplest wimp inert doublet. broad ...m stressing understood annihilation stages. resummed virtual overclosure quartic couplings pages. clarifications versio
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83832425
10.1007/JHEP08(2017)048
We analyze large logarithmic corrections to 4D black hole entropy and relate them to the Weyl anomaly. We use duality to show that counter-terms in Einstein-Maxwell theory can be expressed in terms of geometry alone, with no dependence on matter terms. We analyze the two known $\mathcal{N} = 2$ supersymmetric invariants for various non-supersymmetric black holes and find that both reduce to the Euler invariant. The $c$-anomaly therefore vanishes in these theories and the coefficient of the large logarithms becomes topological. It is therefore independent of continuous black hole parameters, such as the mass, even far from extremality.Comment: 29 pages + appendices, 3 table
Non-Renormalization For Non-Supersymmetric Black Holes
non-renormalization for non-supersymmetric black holes
analyze logarithmic relate weyl anomaly. duality counter einstein maxwell terms. analyze mathcal supersymmetric invariants supersymmetric holes euler invariant. anomaly vanishes logarithms topological. pages appendices
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83867515
10.1007/JHEP08(2017)049
We numerically construct static localized black holes in five and six spacetime dimensions which are solutions to Einstein's vacuum field equations with one compact periodic dimension. In particular, we investigate the critical regime in which the poles of the localized black hole are about to merge. A well adapted multi-domain pseudo-spectral scheme provides us with accurate results and enables us to investigate the phase diagram of those localized solutions within the critical regime, which goes far beyond previous results. We find that in this regime the phase diagram possesses a spiral structure adapting to the one recently found for non-uniform black strings. When approaching the common endpoint of both phases, the behavior of physical quantities is described by complex critical exponents giving rise to a discrete scaling symmetry. The numerically obtained values of the critical exponents agree remarkably well with those derived from the double-cone metric.Comment: Version 4: matched with journal version but fixed a sign error in equation (16) (accidentally, version 3 does not contain changes compared to version 2
Critical behavior of the black hole / black string transition
critical behavior of the black hole / black string transition
numerically localized holes spacetime einstein dimension. poles localized merge. adapted pseudo enables localized goes results. possesses spiral adapting strings. approaching endpoint quantities exponents giving symmetry. numerically exponents agree remarkably cone matched accidentally
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83849224
10.1007/JHEP08(2017)051
We develop a systematic procedure for computing maximal unitarity cuts of multiloop Feynman integrals in arbitrary dimension. Our approach is based on the Baikov representation in which the structure of the cuts is particularly simple. We examine several planar and nonplanar integral topologies and demonstrate that the maximal cut inherits IBPs and dimension shift identities satisfied by the uncut integral. Furthermore, for the examples we calculated, we find that the maximal cut functions from different allowed regions, form the Wronskian matrix of the differential equations on the maximal cut.Comment: typos corrected, more references adde
Maximal Cuts in Arbitrary Dimension
maximal cuts in arbitrary dimension
maximal unitarity cuts multiloop feynman integrals dimension. baikov cuts simple. examine planar nonplanar topologies maximal inherits ibps identities satisfied uncut integral. maximal wronskian maximal typos corrected adde
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83848819
10.1007/JHEP08(2017)053
We explore the anomaly-cancellation constraints on simplified dark matter (DM) models with an extra U(1)$^\prime$ gauge boson $Z'$. We show that, if the Standard Model (SM) fermions are supplemented by a single DM fermion $\chi$ that is a singlet of the SM gauge group, and the SM quarks have non-zero U(1)$^\prime$ charges, the SM leptons must also have non-zero U(1)$^\prime$ charges, in which case LHC searches impose strong constraints on the $Z'$ mass. Moreover, the DM fermion $\chi$ must have a vector-like U(1)$^\prime$ coupling. If one requires the DM particle to have a purely axial U(1)$^\prime$ coupling, which would be the case if $\chi$ were a Majorana fermion and would reduce the impact of direct DM searches, the simplest possibility is that it is accompanied by one other new singlet fermion, but in this case the U(1)$^\prime$ charges of the SM leptons still do not vanish. This is also true in a range of models with multiple new singlet fermions with identical charges. Searching for a leptophobic model, we then introduce extra fermions that transform non-trivially under the SM gauge group. We find several such models if the DM fermion is accompanied by two or more other new fermions with non-identical charges, which may have interesting experimental signatures. We present benchmark representatives of the various model classes we discuss.Comment: 19 pages, 0 figures, this v2 matches version accepted for publicatio
Anomaly-Free Dark Matter Models are not so Simple
anomaly-free dark matter models are not so simple
explore anomaly cancellation simplified extra prime boson fermions supplemented fermion singlet quarks prime charges leptons prime charges searches impose mass. fermion prime coupling. purely axial prime majorana fermion searches simplest accompanied singlet fermion prime charges leptons vanish. singlet fermions charges. searching leptophobic extra fermions transform trivially group. fermion accompanied fermions charges signatures. benchmark representatives pages matches publicatio
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84093178
10.1007/JHEP08(2017)054
The Universal One-Loop Effective Action (UOLEA) is a general expression for the effective action obtained by evaluating in a model-independent way the one-loop expansion of a functional path integral. It can be used to match UV theories to their low-energy EFTs more efficiently by avoiding redundant steps in the application of functional methods, simplifying the process of obtaining Wilson coefficients of operators up to dimension six. In addition to loops involving only heavy fields, matching may require the inclusion of loops containing both heavy and light particles. Here we use the recently-developed covariant diagram technique to extend the UOLEA to include heavy-light terms which retain the same universal structure as the previously-derived heavy-only terms. As an example of its application, we integrate out a heavy singlet scalar with a linear coupling to a light doublet Higgs. The extension presented here is a first step towards completing the UOLEA to incorporate all possible structures encountered in a covariant derivative expansion of the one-loop path integral.Comment: 20 pages, 1 figure, 5 tables, 1 Mathematica Noteboo
Extending the Universal One-Loop Effective Action: Heavy-Light Coefficients
extending the universal one-loop effective action: heavy-light coefficients
universal uolea evaluating integral. match efts efficiently avoiding redundant simplifying obtaining wilson six. loops involving matching inclusion loops particles. covariant extend uolea retain universal terms. integrate singlet doublet higgs. completing uolea incorporate encountered covariant pages tables mathematica noteboo
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154257985
10.1007/JHEP08(2017)055
A test of lepton universality, performed by measuring the ratio of the branching fractions of the $B \ ^0 \to K \ ^{*0} \mu^+ \mu^-$ and $B \ ^0 \to K \ ^{*0} e^+ e^-$ decays, $R_{K^{∗0}}$, is presented. The $K^{*0}$ meson is reconstructed in the final state $K^+π^−$, which is required to have an invariant mass within $100 \ MeV/c^2$ of the known $K^*(892)^0$ mass. The analysis is performed using proton-proton collision data, corresponding to an integrated luminosity of about $3 fb^{−1}$, collected by the LHCb experiment at centre-of-mass energies of 7 and 8 TeV. The ratio is measured in two regions of the dilepton invariant mass squared, $q^2$, to be\ud \ud $R_{K^{∗0}} = \begin{cases} 0.66_{-0.07}^{+0.11}(stat) \pm0.03(syst) \ for \ 0.045<q^2<1.1GeV^2/c^4, \\ 0.69_{−0.07}^{+0.11}(stat) \pm 0.05(syst) \ for \ 1.1<q^2<6.0GeV^2/c^4. \end{cases}$\ud \ud The corresponding 95.4% confidence level intervals are [0.52, 0.89] and [0.53, 0.94]. The results, which represent the most precise measurements of $R_{K^{*0}}$ to date, are compatible with the Standard Model expectations at the level of 2.1–2.3 and 2.4–2.5 standard deviations in the two $q^2$ regions, respectively
Test of lepton universality with $B \ ^0 \to K \ ^{*0} \ell^+ \ell^-$ decays
test of lepton universality with $b \ ^0 \to k \ ^{*0} \ell^+ \ell^-$ decays
lepton universality measuring branching fractions decays presented. meson reconstructed mass. proton proton collision luminosity lhcb tev. dilepton squared begin stat syst stat syst confidence intervals precise compatible expectations deviations
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83849469
10.1007/JHEP08(2017)056
We study 1+1 dimensional $\phi^4$ theory using the recently proposed method of conformal truncation. Starting in the UV CFT of free field theory, we construct a complete basis of states with definite conformal Casimir, $\mathcal{C}$. We use these states to express the Hamiltonian of the full interacting theory in lightcone quantization. After truncating to states with $\mathcal{C} \leq \mathcal{C}_{\max}$, we numerically diagonalize the Hamiltonian at strong coupling and study the resulting IR dynamics. We compute non-perturbative spectral densities of several local operators, which are equivalent to real-time, infinite-volume correlation functions. These spectral densities, which include the Zamolodchikov $C$-function along the full RG flow, are calculable at any value of the coupling. Near criticality, our numerical results reproduce correlation functions in the 2D Ising model.Comment: 31+12 page
RG Flow from $\phi^4$ Theory to the 2D Ising Model
rg flow from $\phi^4$ theory to the 2d ising model
conformal truncation. definite conformal casimir mathcal express interacting lightcone quantization. truncating mathcal mathcal numerically diagonalize dynamics. perturbative densities infinite functions. densities zamolodchikov calculable coupling. criticality reproduce ising
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83857024
10.1007/JHEP08(2017)057
In this paper, we demonstrate the emergence of nonlinear gravitational equations directly from the physics of a broad class of conformal field theories. We consider CFT excited states defined by adding sources for scalar primary or stress tensor operators to the Euclidean path integral defining the vacuum state. For these states, we show that up to second order in the sources, the entanglement entropy for all ball-shaped regions can always be represented geometrically (via the Ryu-Takayanagi formula) by an asymptotically AdS geometry. We show that such a geometry necessarily satisfies Einstein's equations perturbatively up to second order, with a stress energy tensor arising from matter fields associated with the sourced primary operators. We make no assumptions about AdS/CFT duality, so our work serves as both a consistency check for the AdS/CFT correspondence and a direct demonstration that spacetime and gravitational physics can emerge from the description of entanglement in conformal field theories.Comment: 55 pages, 8 figure
Nonlinear Gravity from Entanglement in Conformal Field Theories
nonlinear gravity from entanglement in conformal field theories
emergence gravitational broad conformal theories. excited adding euclidean defining state. entanglement ball shaped geometrically takayanagi asymptotically geometry. necessarily satisfies einstein perturbatively arising sourced operators. assumptions duality serves consistency check correspondence demonstration spacetime gravitational emerge entanglement conformal pages
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83839383
10.1007/JHEP08(2017)058
We study the electroweak baryogenesis in a fermionic dark matter scenario with a (pseudo)scalar being the mediator in the Higgs portal. It is discussed that the electroweak phase transition turns to be first-order after taking into account the role of the (pseudo)scalar in the thermal effective potential in our extended standard model. Imposing the relic density constraint from the WMAP/Planck and the bounds from the direct detection experiments XENON100/LUX, we show that the dark matter scenario with a scalar mediator is hardly capable of explaining the baryogenesis while the same model with a pseudoscalar mediator is able to explain the baryon asymmetry. For the latter, we constrain more the model with {\it Fermi}-LAT upper limit on dark matter annihilation into $b\bar b$ and $\tau^+\tau^-$. The allowed dark matter mass that leads to correct relic abundance, renders the electroweak phase transition strongly first-order, and respects the {\it Fermi}-LAT limit, will be in the range $110-320$ GeV. The exotic and invisible Higgs decay bounds and the mono-jet search limit at the LHC do not affect the viable space of parameters.Comment: 15 pages, 4 figures. Fermi-LAT constraint on DM DM to b\bar, tau^+ tau^- in the model was imposed. The range of the mediator mass was shown in a figure. Published in JHE
Electroweak Baryogenesis and Dark Matter via a Pseudoscalar vs. Scalar
electroweak baryogenesis and dark matter via a pseudoscalar vs. scalar
electroweak baryogenesis fermionic pseudo mediator portal. electroweak turns pseudo model. imposing relic wmap planck bounds xenon mediator hardly capable explaining baryogenesis pseudoscalar mediator baryon asymmetry. constrain fermi annihilation relic abundance renders electroweak respects fermi gev. exotic invisible bounds mono viable pages figures. fermi imposed. mediator figure.
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83854317
10.1007/JHEP08(2017)059
In this paper we demonstrate, that the light-cone lattice approach for the Massive-Thirring (sine-Gordon) model, through the quantum inverse scattering method, admits an appropriate framework for computing the finite volume form-factors of local operators of the model. In this work we compute the finite volume diagonal matrix elements of the $U(1)$ conserved current in the pure soliton sector of the theory. Based on the systematic large volume expansion of our results, we conjecture an exact expression for the finite volume expectation values of local operators in pure soliton states. At large volume in leading order these expectation values have the same form as in purely elastic scattering theories, but exponentially small corrections differ from previous Thermodynamic Bethe Ansatz conjectures of purely elastic scattering theories
Lattice approach to finite volume form-factors of the Massive Thirring/Sine-Gordon model
lattice approach to finite volume form-factors of the massive thirring/sine-gordon model
cone massive thirring sine gordon admits model. diagonal conserved soliton theory. conjecture expectation soliton states. expectation purely elastic exponentially thermodynamic bethe ansatz conjectures purely elastic
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83839410
10.1007/JHEP08(2017)060
Random tensor networks provide useful models that incorporate various important features of holographic duality. A tensor network is usually defined for a fixed graph geometry specified by the connection of tensors. In this paper, we generalize the random tensor network approach to allow quantum superposition of different spatial geometries. We set up a framework in which all possible bulk spatial geometries, characterized by weighted adjacent matrices of all possible graphs, are mapped to the boundary Hilbert space and form an overcomplete basis of the boundary. We name such an overcomplete basis as holographic coherent states. A generic boundary state can be expanded on this basis, which describes the state as a superposition of different spatial geometries in the bulk. We discuss how to define distinct classical geometries and small fluctuations around them. We show that small fluctuations around classical geometries define "code subspaces" which are mapped to the boundary Hilbert space isometrically with quantum error correction properties. In addition, we also show that the overlap between different geometries is suppressed exponentially as a function of the geometrical difference between the two geometries. The geometrical difference is measured in an area law fashion, which is a manifestation of the holographic nature of the states considered.Comment: 33 pages, 8 figures. An error corrected on page 14. Reference update
Holographic coherent states from random tensor networks
holographic coherent states from random tensor networks
incorporate holographic duality. specified connection tensors. generalize superposition geometries. geometries weighted adjacent mapped hilbert overcomplete boundary. name overcomplete holographic coherent states. generic expanded describes superposition geometries bulk. geometries them. geometries subspaces mapped hilbert isometrically properties. overlap geometries suppressed exponentially geometrical geometries. geometrical fashion manifestation holographic pages figures. corrected update
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83850857
10.1007/JHEP08(2017)061
Non-perturbative D-brane instanton effects in 4d N = 1 string compactifications can be geometrized in terms of a backreacted generalized geometry. We extend earlier results to setups in which the D-brane instanton is charged under the 4d gauge symmetries, and show that the backreacted topology yields the correct charged field theory operators in the 4d effective action. In type IIA models with D6-branes, the backreaction of D2-brane instantons forces the recombination of D6-branes, such that the 4d charged field theory operators arise from basic worldsheet instantons in the backreacted geometry. We provide large classes of examples of D2-brane instanton effects on intersecting D6-brane systems in local models mirror to D3-branes at singularities. The backreacted geometry and the field theory operators are easily encoded in terms of simple operation in the graphs arising from the underlying dimer diagrams. This description agrees, in the appropriate cases, with the complex deformations triggered by certain fractional branes at the bottom of duality cascades.Comment: 40 pages, 27 Figures,v2 Minor correction
Backreacting D-brane instantons on branes at singularities
backreacting d-brane instantons on branes at singularities
perturbative brane instanton compactifications geometrized backreacted geometry. extend setups brane instanton symmetries backreacted topology action. branes backreaction brane instantons forces recombination branes arise worldsheet instantons backreacted geometry. brane instanton intersecting brane mirror branes singularities. backreacted encoded arising dimer diagrams. agrees deformations triggered fractional branes duality pages minor
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73960986
10.1007/JHEP08(2017)062
Perturbative series of some quantities in quantum field theories, such as the pole mass of a quark, suffer from a kind of divergence called renormalon divergence. In this paper, the leading renormalon in the pole mass is investigated, and a map is introduced to suppress this renormalon. The inverse of the map is then used to generate the leading renormalon and obtain an expression to calculate its overall normalization. Finally, the overall normalization of the leading renormalon of the pole mass is calculated for several values of quark flavors.Comment: The published version; speculations about higher order renormalons are remove
A discussion on leading renormalon in the pole mass
a discussion on leading renormalon in the pole mass
perturbative quantities pole suffer kind divergence renormalon divergence. renormalon pole suppress renormalon. renormalon normalization. normalization renormalon pole speculations renormalons remove
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73417515
10.1007/JHEP08(2017)063
We study the geometric description of BPS states in supersymmetric theories with eight supercharges in terms of geodesic networks on suitable spectral curves. We lift and extend several constructions of Gaiotto-Moore-Neitzke from gauge theory to local Calabi-Yau threefolds and related models. The differential is multi-valued on the covering curve and features a new type of logarithmic singularity in order to account for D0-branes and non-compact D4-branes, respectively. We describe local rules for the three-way junctions of BPS trajectories relative to a particular framing of the curve. We reproduce BPS quivers of local geometries and illustrate the wall-crossing of finite-mass bound states in several new examples. We describe first steps toward understanding the spectrum of framed BPS states in terms of such "exponential networks."Comment: 82 pages, 60 figures, typos fixe
Exponential Networks and Representations of Quivers
exponential networks and representations of quivers
geometric supersymmetric eight supercharges geodesic curves. lift extend constructions gaiotto moore neitzke calabi threefolds models. valued covering logarithmic singularity branes branes respectively. junctions trajectories framing curve. reproduce quivers geometries illustrate crossing examples. toward framed exponential networks. comment pages typos fixe
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83857565
10.1007/JHEP08(2017)064
What is the dynamics of heavy quarks and antiquarks in a quark gluon plasma? Can heavy-quark bound states dissociate? Can they (re)combine? These questions are addressed by investigating a Lindblad equation that describes the quantum dynamics of the heavy quarks in a medium. The Lindblad equations for a heavy quark and a heavy quark-antiquark pair are derived from the gauge theory, following a chain of well-defined approximations. In this work the case of an abelian plasma has been considered, but the extension to the non-abelian case is feasible. A one-dimensional simulation of the Lindblad equation is performed to extract information about bound-state dissociation, recombination and quantum decoherence for a heavy quark-antiquark pair. All these phenomena are found to depend strongly on the imaginary part of the inter-quark potential.Comment: 50 pages, 10 figures - added references - corrected typos and added a few comments - added appendix
Fate of in-medium heavy quarks via a Lindblad equation
fate of in-medium heavy quarks via a lindblad equation
quarks antiquarks gluon dissociate combine addressed investigating lindblad describes quarks medium. lindblad antiquark approximations. abelian abelian feasible. lindblad extract dissociation recombination decoherence antiquark pair. phenomena imaginary pages corrected typos comments
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73988696
10.1007/JHEP08(2017)066
Using supersymmetric localization, we consider four-dimensional $\mathcal{N}=2$ superconformal quiver gauge theories obtained from $\mathbb{Z}_n$ orbifolds of $\mathcal{N}=4$ Super Yang-Mills theory in the large $N$ limit at weak coupling. In particular, we show that: 1) The partition function for arbitrary couplings can be constructed in terms of universal building blocks. 2) It can be computed in perturbation series, which converges uniformly for $|\lambda_I|<\pi^2$, where $\lambda_I$ are the 't Hooft coupling of the gauge groups. 3) The perturbation series for two-point functions can be explicitly computed to arbitrary orders. There is no universal effective coupling by which one can express them in terms of correlators of the $\mathcal{N}=4$ theory. 4) One can define twisted and untwisted sector operators. At the perturbative orbifold point, when all the couplings are the same, the correlators of untwisted sector operators coincide with those of $\mathcal{N}=4$ Super Yang-Mills theory. In the twisted sector, we find remarkable cancellations of a certain number of planar loops, determined by the conformal dimension of the operator
Large $N$ correlation functions in $\mathcal{N}=2$ superconformal quivers
large $n$ correlation functions in $\mathcal{n}=2$ superconformal quivers
supersymmetric localization mathcal superconformal quiver mathbb orbifolds mathcal super mills coupling. partition couplings universal blocks. perturbation converges uniformly lambda lambda hooft groups. perturbation explicitly orders. universal express correlators mathcal theory. twisted untwisted operators. perturbative orbifold couplings correlators untwisted coincide mathcal super mills theory. twisted remarkable cancellations planar loops conformal
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83837466
10.1007/JHEP08(2017)067
We consider two-dimensional chiral, first-order conformal field theories governing maps from the Riemann sphere to the projective light cone inside Minkowski space -- the natural setting for describing conformal field theories in two fewer dimensions. These theories have a SL(2) algebra of local bosonic constraints which can be supplemented by additional fermionic constraints depending on the matter content of the theory. By computing the BRST charge associated with gauge fixing these constraints, we find anomalies which vanish for specific target space dimensions. These critical dimensions coincide precisely with those for which (biadjoint) cubic scalar theory, gauge theory and gravity are classically conformally invariant. Furthermore, the BRST cohomology of each theory contains vertex operators for the full conformal multiplets of single field insertions in each of these space-time CFTs. We give a prescription for the computation of three-point functions, and compare our formalism with the scattering equations approach to on-shell amplitudes.Comment: 34 pages, no figures. v2: typos corrected and some comments added; v3: published versio
Space-time CFTs from the Riemann sphere
space-time cfts from the riemann sphere
chiral conformal governing riemann sphere projective cone minkowski describing conformal fewer dimensions. bosonic supplemented fermionic theory. brst fixing anomalies vanish dimensions. coincide precisely biadjoint cubic classically conformally invariant. brst cohomology conformal multiplets insertions cfts. prescription formalism pages figures. typos corrected comments versio
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83841910
10.1007/JHEP08(2017)070
We study asymptotic safety of models of the higher derivative quantum gravity with and without matter. The beta functions are derived by utilizing the functional renormalization group, and non-trivial fixed points are found. It turns out that all couplings in gravity sector, namely the cosmological constant, the Newton constant, and the $R^2$ and $R_{\mu\nu}^2$ coupling constants, are relevant in case of higher derivative pure gravity. For the Higgs-Yukawa model non-minimal coupled with higher derivative gravity, we find a stable fixed point at which the scalar-quartic and the Yukawa coupling constants become relevant. The relevant Yukawa coupling is crucial to realize the finite value of the Yukawa coupling constants in the standard model.Comment: Version published in JHEP; 75 pages, 10 figures, typos corrected, references adde
Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system
asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system
asymptotic matter. beta utilizing renormalization trivial found. turns couplings cosmological newton gravity. yukawa quartic yukawa relevant. yukawa crucial realize yukawa jhep pages typos corrected adde
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84330318
10.1007/JHEP08(2017)071
We study the quantum spectral curve of the Argyres-Douglas theories in the Nekrasov-Sahashvili limit of the Omega-background. Using the ODE/IM correspondence we investigate the quantum integrable model corresponding to the quantum spectral curve. We show that the models for the $A_{2N}$-type theories are non-unitary coset models $(A_1)_1\times (A_1)_{L}/(A_1)_{L+1}$ at the fractional level $L=\frac{2}{2N+1}-2$, which appear in the study of the 4d/2d correspondence of ${\cal N}=2$ superconformal field theories. Based on the WKB analysis, we clarify the relation between the Y-functions and the quantum periods and study the exact Bohr-Sommerfeld quantization condition for the quantum periods. We also discuss the quantum spectral curves for the D and E type theories.Comment: 28 pages, 1 figure. Typos corrected, a reference is added. Published versio
ODE/IM correspondence and the Argyres-Douglas theory
ode/im correspondence and the argyres-douglas theory
argyres douglas nekrasov sahashvili omega background. correspondence integrable curve. unitary coset fractional frac correspondence superconformal theories. clarify bohr sommerfeld quantization periods. pages figure. typos corrected added. versio
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83843332
10.1007/JHEP08(2017)072
We study dark matter physics in the Minimal Supersymmetric Standard Model with non-universal gaugino masses at the unification scale. In this scenario, the specific ratio of wino and gluino masses realizes the electro-weak scale naturally and achieves 125 GeV Higgs boson mass. Then, relatively light higgsino is predicted and the lightest neutral particle, that is dominantly given by the neutral component of higgsino, is a good dark matter candidate. The direct detection of the dark matter is sensitive to not only a higgsino mass but also gaugino masses significantly. The upcoming XENON1T experiment excludes the parameter region where bino or gluino is lighter than about 2.5 TeV if the higgsino and the gaugino mass parameters have same signs. We see that the direct detection of dark matter gives stronger bound than the direct search at the LHC experiment when higgsino sizably contributes to the dark matter abundanceComment: 21 pages, 5 figures, 1 tabl
Study of dark matter physics in non-universal gaugino mass scenario
study of dark matter physics in non-universal gaugino mass scenario
supersymmetric universal gaugino unification scale. wino gluino realizes electro naturally achieves boson mass. higgsino lightest neutral dominantly neutral higgsino candidate. higgsino gaugino significantly. upcoming xenon excludes bino gluino lighter higgsino gaugino signs. stronger higgsino sizably contributes abundancecomment pages tabl
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83845705
10.1007/JHEP08(2017)074
The usage of Effective Field Theories (EFT) for LHC new physics searches is receiving increasing attention. It is thus important to clarify all the aspects related with the applicability of the EFT formalism in the LHC environment, where the large available energy can produce reactions that overcome the maximal range of validity, i.e. the cutoff, of the theory. We show that this does forbid to set rigorous limits on the EFT parameter space through a modified version of the ordinary binned likelihood hypothesis test, which we design and validate. Our limit-setting strategy can be carried on in its full-fledged form by the LHC experimental collaborations, or performed externally to the collaborations, through the Simplified Likelihood approach, by relying on certain approximations. We apply it to the recent CMS mono-jet analysis and derive limits on a Dark Matter (DM) EFT model. DM is selected as a case study because the limited reach on the DM production EFT Wilson coefficient and the structure of the theory suggests that the cutoff might be dangerously low, well within the LHC reach. However our strategy can also be applied to EFT's parametrising the indirect effects of heavy new physics in the Electroweak and Higgs sectors
Setting limits on Effective Field Theories: the case of Dark Matter
setting limits on effective field theories: the case of dark matter
usage searches receiving attention. clarify applicability formalism overcome maximal validity i.e. cutoff theory. forbid rigorous ordinary binned likelihood validate. fledged collaborations externally collaborations simplified likelihood relying approximations. mono derive model. wilson cutoff dangerously reach. parametrising indirect electroweak sectors
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73414365
10.1007/JHEP08(2017)075
We consider the late time behavior of the analytically continued partition function $Z(\beta + it) Z(\beta - it)$ in holographic $2d$ CFTs. This is a probe of information loss in such theories and in their holographic duals. We show that each Virasoro character decays in time, and so information is not restored at the level of individual characters. We identify a universal decaying contribution at late times, and conjecture that it describes the behavior of generic chaotic $2d$ CFTs out to times that are exponentially large in the central charge. It was recently suggested that at sufficiently late times one expects a crossover to random matrix behavior. We estimate an upper bound on the crossover time, which suggests that the decay is followed by a parametrically long period of late time growth. Finally, we discuss integrable theories and show how information is restored at late times by a series of characters. This hints at a possible bulk mechanism, where information is restored by an infinite sum over non-perturbative saddles.Comment: 36 pages, 7 figure
2D CFT Partition Functions at Late Times
2d cft partition functions at late times
analytically continued partition beta beta holographic cfts. holographic duals. virasoro character decays restored characters. universal decaying conjecture describes generic chaotic cfts exponentially charge. sufficiently expects crossover behavior. crossover parametrically growth. integrable restored characters. hints restored infinite perturbative pages
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73440991
10.1007/JHEP08(2017)076
Very high multiplicity, spherically-symmetric distributions of soft particles, with $p_T$ ~ few hundred MeV, may be a signature of strongly-coupled hidden valleys that exhibit long, efficient showering windows. With traditional triggers, such "soft bomb" events closely resemble pile-up and are therefore only recorded with minimum bias triggers at a very low efficiency. We demonstrate a proof-of-concept for a high-level triggering strategy that efficiently separates soft bombs from pile-up by searching for a "belt of fire": A high density band of hits on the innermost layer of the tracker. Seeding our proposed high-level trigger with existing jet, missing transverse energy or lepton hardware-level triggers, we show that net trigger efficiencies of order 10% are possible for bombs of mass several hundred GeV. We also consider the special case that soft bombs are the result of an exotic decay of the 125 GeV Higgs. The fiducial rate for "Higgs bombs" triggered in this manner is marginally higher than the rate achievable by triggering directly on a hard muon from associated Higgs production.Comment: 38 pages, 5 tables, 14 figure
Triggering Soft Bombs at the LHC
triggering soft bombs at the lhc
multiplicity spherically hundred signature hidden valleys exhibit showering windows. traditional triggers bomb closely resemble pile triggers efficiency. triggering efficiently separates bombs pile searching belt fire hits innermost tracker. seeding trigger missing lepton hardware triggers trigger efficiencies bombs hundred gev. bombs exotic higgs. fiducial bombs triggered manner marginally achievable triggering muon pages tables
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84090779
10.1007/JHEP08(2017)078
We explore the phenomenology of Elastically Decoupling Relic (ELDER) dark matter. ELDER is a thermal relic whose present density is determined primarily by the cross-section of its elastic scattering off Standard Model (SM) particles. Assuming that this scattering is mediated by a kinetically mixed dark photon, we argue that the ELDER scenario makes robust predictions for electron-recoil direct-detection experiments, as well as for dark photon searches. These predictions are independent of the details of interactions within the dark sector. Together with the closely related Strongly-Interacting Massive Particle (SIMP) scenario, the ELDER predictions provide a physically motivated, well-defined target region, which will be almost entirely accessible to the next generation of searches for sub-GeV dark matter and dark photons. We provide useful analytic approximations for various quantities of interest in the ELDER scenario, and discuss two simple renormalizable toy models which incorporate the required strong number-changing interactions among the ELDERs, as well as explicitly implement the coupling to electrons via the dark photon portal.Comment: 31 pages, 6 figures, minor corrections, updates to match version published in JHE
Phenomenology of ELDER Dark Matter
phenomenology of elder dark matter
explore phenomenology elastically decoupling relic elder matter. elder relic primarily elastic particles. kinetically argue elder robust recoil searches. sector. closely interacting massive simp elder physically motivated entirely accessible searches photons. analytic approximations quantities elder renormalizable incorporate changing elders explicitly implement pages minor updates match
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83862470
10.1007/JHEP08(2017)079
In this paper, we extend our previous work to construct (0,2) Toda-like mirrors to A/2-twisted theories on more general spaces, as part of a program of understanding (0,2) mirror symmetry. Specifically, we propose (0,2) mirrors to GLSMs on toric del Pezzo surfaces and Hirzebruch surfaces with deformations of the tangent bundle. We check the results by comparing correlation functions, global symmetries, as well as geometric blowdowns with the corresponding (0,2) Toda-like mirrors. We also briefly discuss Grassmannian manifolds.Comment: 49 pages, LaTeX; v2: references adde
More Toda-like (0,2) mirrors
more toda-like (0,2) mirrors
extend toda mirrors twisted mirror symmetry. propose mirrors glsms toric pezzo hirzebruch deformations tangent bundle. check symmetries geometric blowdowns toda mirrors. briefly grassmannian pages latex adde
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83859388
10.1007/JHEP08(2017)081
Building on [1], we examine a holographic model in which a U(1) symmetry and translational invariance are broken spontaneously at the same time. The symmetry breaking is realized through the St\"{u}ckelberg mechanism, and leads to a scalar condensate and a charge density which are spatially modulated and exhibit unidirectional stripe order. Depending on the choice of parameters, the oscillations of the scalar condensate can average out to zero, with a frequency which is half of that of the charge density. In this case the system realizes some of the key features of pair density wave order. The model also admits a phase with co-existing superconducting and charge density wave orders, in which the scalar condensate has a uniform component. In our construction the various orders are intertwined with each other and have a common origin. The fully backreacted geometry is computed numerically, including for the case in which the theory contains axions. The latter can be added to explicitly break translational symmetry and mimic lattice-type effects.Comment: 37 pages, 17 figure
Intertwined Orders in Holography: Pair and Charge Density Waves
intertwined orders in holography: pair and charge density waves
examine holographic translational invariance broken spontaneously time. breaking realized ckelberg condensate spatially modulated exhibit unidirectional stripe order. oscillations condensate density. realizes order. admits superconducting orders condensate component. orders intertwined origin. backreacted numerically axions. explicitly break translational mimic pages
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83855552
10.1007/JHEP08(2017)083
We study large $N$ tensor models on the lattice without disorder. We introduce techniques which can be applied to a wide class of models, and illustrate it by studying some specific rank-3 tensor models. In particular, we study Klebanov-Tarnopolsky model on lattice, Gurau-Witten model (by treating it as a tensor model on four sites) and also a new model which interpolates between these two models. In each model, we evaluate various four point functions at large $N$ and strong coupling, and discuss their spectrum and long time behaviors. We find similarities as well as differences from SYK model. We also generalize our analysis to rank-$D$ tensor models where we obtain analogous results as $D=3$ case for the four point functions which we computed. For $D>5$, we are able to compute the next-to-subleading ${1 \over N}$ corrections for a specific four point function.Comment: 46 pages, 29 figures; v2:typos corrected, reference added; v3:minor revisions, to be published in JHE
SYK-like Tensor Models on the Lattice
syk-like tensor models on the lattice
disorder. illustrate studying models. klebanov tarnopolsky gurau witten treating interpolates models. behaviors. similarities model. generalize analogous computed. subleading pages typos corrected minor revisions
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83865963
10.1007/JHEP08(2017)084
Two-dimensional conformal field theories at large central charge and with a sufficiently sparse spectrum of light states have been shown to exhibit universal thermodynamics. This thermodynamics matches that of AdS$_3$ gravity, with a Hawking-Page transition between thermal AdS and the BTZ black hole. We extend these results to correlation functions of light operators. Upon making some additional assumptions, such as large $c$ factorization of correlators, we establish that the thermal AdS and BTZ solutions emerge as the universal backgrounds for the computation of correlators. In particular, Witten diagrams computed on these backgrounds yield the CFT correlators, order by order in a large $c$ expansion, with exponentially small corrections. In pure CFT terms, our result is that thermal correlators of light operators are determined entirely by light spectrum data. Our analysis is based on the constraints of modular invariance applied to the torus two-point function.Comment: 18 pages. v2: minor edit
Black holes from CFT: Universality of correlators at large c
black holes from cft: universality of correlators at large c
conformal sufficiently sparse exhibit universal thermodynamics. thermodynamics matches hawking hole. extend operators. assumptions factorization correlators establish emerge universal backgrounds correlators. witten diagrams backgrounds correlators exponentially corrections. correlators entirely data. modular invariance torus pages. minor edit
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83853249
10.1007/JHEP08(2017)085
We develop a formalism where the hard and soft pomeron contributions to high energy scattering arise as leading Regge poles of a single kernel in holographic QCD. The kernel is obtained using effective field theory inspired by Regge theory of a 5-d string theory. It describes the exchange of higher spin fields in the graviton Regge trajectory that are dual to glueball states of twist two. For a specific holographic QCD model we describe Deep Inelastic Scattering in the Regge limit of low Bjorken x, finding good agreement with experimental data from HERA. The observed rise of the effective pomeron intercept, as the size of the probe decreases, is reproduced by considering the first four pomeron trajectories. In the case of soft probes, relevant to total cross sections, the leading hard pomeron trajectory is suppressed, such that in this kinematical region we reproduce an intercept of 1.09 compatible with the QCD soft pomeron data. In the spectral region of positive Maldelstam variable t the first two pomeron trajectories are consistent with current expectations for the glueball spectrum from lattice simulations
Unity of pomerons from gauge/string duality
unity of pomerons from gauge/string duality
formalism pomeron arise regge poles kernel holographic qcd. kernel inspired regge theory. describes graviton regge trajectory glueball twist two. holographic inelastic regge bjorken hera. pomeron intercept reproduced pomeron trajectories. probes pomeron trajectory suppressed kinematical reproduce intercept compatible pomeron data. maldelstam pomeron trajectories expectations glueball
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83860255
10.1007/JHEP08(2017)087
According to the horizon fluff proposal microstates of a generic black hole belong to a certain subset of near horizon soft hairs that cannot be extended beyond the near horizon region. In [1,2] it was shown how the horizon fluff proposal works for AdS3 black holes. In this work we clarify further this picture by showing that BTZ black hole microstates are in general among the coherent states in the Hilbert space associated with conic spaces or their Virasoro descendants, provided we impose a (Bohr-type) quantization condition on the angular deficit. Thus BTZ black holes may be viewed as condensates (or solitonic states) of AdS3 particles. We provide canonical and microcanonical descriptions of the statistical mechanical system associated with BTZ black holes and their microstates, and relate them. As a further non-trivial check we show the horizon fluff proposal correctly reproduces the expected logarithmic corrections to the BTZ entropy.Comment: 47pp, v2: added references, minor correction in section 6.1, results unchanged, v3: 51pp, added figures, references and clarifications, to appear in JHE
Horizon fluff, semi-classical black hole microstates - Log-corrections to BTZ entropy and black hole/particle correspondence
horizon fluff, semi-classical black hole microstates - log-corrections to btz entropy and black hole/particle correspondence
horizon fluff proposal microstates generic belong horizon hairs horizon region. horizon fluff proposal holes. clarify picture microstates coherent hilbert conic virasoro descendants impose bohr quantization deficit. holes viewed condensates solitonic particles. canonical microcanonical descriptions holes microstates relate them. trivial check horizon fluff proposal correctly reproduces logarithmic minor unchanged clarifications
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83842129
10.1007/JHEP08(2017)088
We present the first combination of NLO QCD matrix elements for di-Higgs production, retaining the full top quark mass dependence, with a parton shower. Results are provided within both the POWHEG-BOX and MadGraph5_aMC@NLO Monte Carlo frameworks. We assess in detail the theoretical uncertainties and provide differential results. We find that, as expected, the shower effects are relatively large for observables like the transverse momentum of the Higgs boson pair, which are sensitive to extra radiation. However, these shower effects are still much smaller than the differences between the Born-improved HEFT approximation and the full NLO calculation in the tails of the distributions.Comment: replaced by published version; in addition typos corrected in definition of pole coefficients below Eq.(2.4
NLO predictions for Higgs boson pair production with full top quark mass dependence matched to parton showers
nlo predictions for higgs boson pair production with full top quark mass dependence matched to parton showers
retaining parton shower. powheg madgraph monte carlo frameworks. results. shower observables boson extra radiation. shower born heft tails replaced typos corrected pole
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83850048
10.1007/JHEP08(2017)089
We propose to realize (natural) NMSSM spectrum from deflected AMSB with new messenger-matter interactions. With additional messenger-matter interactions involving ${\bf 10}\oplus{\bf \overline{10}}$ representation messengers, the muon g-2 anomaly can be solved at $2\sigma$ (or $3\sigma$) level with the corresponding gluino mass range $2.8~{\rm TeV}<m_{\tilde{g}}<5.4~ {\rm TeV}$ (or $2.6 ~{\rm TeV}<m_{\tilde{g}}<7.3~ {\rm TeV}$). Besides, our scenario is fairly natural within which the involved fine tuning can be as low as 47. So, in the framework of AMSB-type scenarios, NMSSM can be advantageous in explaining the muon g-2 anomaly in compare with MSSM.Comment: 23 pages, 7 figure
Solving The Muon g-2 Anomaly With Natural NMSSM From Generalized Deflected AMSB
solving the muon g-2 anomaly with natural nmssm from generalized deflected amsb
propose realize nmssm deflected amsb messenger interactions. messenger involving oplus overline messengers muon anomaly solved sigma sigma gluino tilde tilde besides fairly fine tuning amsb scenarios nmssm advantageous explaining muon anomaly pages
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84332496
10.1007/JHEP08(2017)090
We compute the supersymmetric partition function of $\mathcal{N}{=}1$ supersymmetric gauge theories with an $R$-symmetry on $\mathcal{M}_4 \cong \mathcal{M}_{g,p}\times S^1$, a principal elliptic fiber bundle of degree $p$ over a genus-$g$ Riemann surface, $\Sigma_g$. Equivalently, we compute the generalized supersymmetric index $I_{\mathcal{M}_{g,p}}$, with the supersymmetric three-manifold ${\mathcal{M}_{g,p}}$ as the spatial slice. The ordinary $\mathcal{N}{=}1$ supersymmetric index on the round three-sphere is recovered as a special case. We approach this computation from the point of view of a topological $A$-model for the abelianized gauge fields on the base $\Sigma_g$. This $A$-model---or $A$-twisted two-dimensional $\mathcal{N}{=}(2,2)$ gauge theory---encodes all the information about the generalized indices, which are viewed as expectations values of some canonically-defined surface defects wrapped on $T^2$ inside $\Sigma_g \times T^2$. Being defined by compactification on the torus, the $A$-model also enjoys natural modular properties, governed by the four-dimensional 't Hooft anomalies. As an application of our results, we provide new tests of Seiberg duality. We also present a new evaluation formula for the three-sphere index as a sum over two-dimensional vacua.Comment: 91 pages including appendices; v2: corrected typos and added references, JHEP versio
$\mathcal{N}{=}1$ supersymmetric indices and the four-dimensional A-model
$\mathcal{n}{=}1$ supersymmetric indices and the four-dimensional a-model
supersymmetric partition mathcal supersymmetric mathcal cong mathcal principal elliptic fiber bundle genus riemann sigma equivalently supersymmetric mathcal supersymmetric manifold mathcal slice. ordinary mathcal supersymmetric round sphere recovered case. topological abelianized sigma twisted mathcal encodes indices viewed expectations canonically defects wrapped sigma compactification torus enjoys modular governed hooft anomalies. seiberg duality. sphere pages appendices corrected typos jhep versio
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73992778
10.1007/JHEP08(2017)091
We present standard model (SM) estimates for exclusive $c \to u \gamma$ processes in heavy quark and hybrid frameworks. Measured branching ratios ${\cal{B}}(D^0 \to (\phi, \bar K^{*0}) \gamma)$ are at or somewhat exceeding the upper range of the SM and suggest slow convergence of the $1/m_D, \alpha_s$-expansion. Model-independent constraints on $|\Delta C|=|\Delta U|=1$ dipole operators from ${\cal{B}}(D^0 \to \rho^0 \gamma)$ data are obtained. Predictions and implications for leptoquark models are worked out. While branching ratios are SM-like CP asymmetries $\lesssim 10 \%$ can be induced. In SUSY deviations from the SM can be even larger with CP asymmetries of $O(0.1)$. If $\Lambda_c$-baryons are produced polarized, such as at the $Z$-pole, an angular asymmetry in $\Lambda_c \to p \gamma$ decays can be studied that is sensitive to chirality-flipped contributions.Comment: 23 pages plus references and appendices, 7 figures; v2: clarifications and references added, conclusions unchanged; v3: In section IV.B on leptoquark models matching corrected and subsequent text, tables and equations adapted. Phenomenological results and conclusions unchange
Rare radiative charm decays within the standard model and beyond
rare radiative charm decays within the standard model and beyond
exclusive gamma hybrid frameworks. branching gamma somewhat exceeding slow alpha expansion. delta delta dipole gamma obtained. leptoquark worked out. branching asymmetries lesssim induced. susy deviations asymmetries lambda baryons polarized pole asymmetry lambda gamma decays chirality flipped pages appendices clarifications unchanged iv.b leptoquark matching corrected tables adapted. phenomenological unchange
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83859386
10.1007/JHEP08(2017)092
We propose several Two Higgs Doublet Models with the addition of an Abelian gauge group which free the usual framework from flavor changing neutral interactions and explain neutrino masses through the seesaw mechanism. We discuss the kinetic and mass-mixing gripping phenomenology which encompass several constraints coming from atomic parity violation, the muon anomalous magnetic moment, rare meson decays, Higgs physics, LEP precision data, neutrino-electron scattering, low energy accelerators and LHC probes.Comment: 54 pages, 10 figure
Neutrino Masses and Absence of Flavor Changing Interactions in the 2HDM from Gauge Principles
neutrino masses and absence of flavor changing interactions in the 2hdm from gauge principles
propose doublet abelian usual flavor changing neutral seesaw mechanism. gripping phenomenology encompass coming parity violation muon anomalous moment rare meson decays precision accelerators pages
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83860323
10.1007/JHEP08(2017)093
We study the experimental constraints on strongly interacting vector-fermions compatible with the relaxion mechanism and investigate any possible tuning. The focus is on a minimal model and low confinement scale. More precisely, we study bounds from electroweak precision tests, Higgs decay, Big Bang nucleosynthesis and direct collider searches. The effect of these new fermions on vacuum stability is also investigated. Combining our bounds, we show that the relaxion mechanism becomes increasingly constrained and fine-tuned as the confinement scale decreases. For example, a confinement scale of a few tens of MeVs would require tuning at the percent level.Comment: 27 pages, 10 figures. References added. Matches published versio
Constraints on the relaxion mechanism with strongly interacting vector-fermions
constraints on the relaxion mechanism with strongly interacting vector-fermions
interacting fermions compatible relaxion tuning. confinement scale. precisely bounds electroweak precision bang nucleosynthesis collider searches. fermions investigated. combining bounds relaxion increasingly constrained fine tuned confinement decreases. confinement tens mevs tuning percent pages figures. added. matches versio
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83871260
10.1007/JHEP08(2017)095
In the Minimal Supersymmetric Standard Model (MSSM) searches for the heaviest CP-even and CP-odd Higgs $H$, $A$ to tau-lepton pairs severely constrain the parameter region for large values of $\tan\beta$ and light Higgs bosons $H$, $A$. We demonstrate how the experimental constraint can be avoided by new decays to light third-generation sfermions, whose left-right couplings to $H$ can be maximised in regions of large trilinear couplings $A_{b}$, $A_{\tau}$ for sbottoms and staus, or large supersymmetric (SUSY) Higgs mass $\mu$ for stops. Due to the $\tan\beta$-enhancement in the production cross-sections via gluon-fusion and in association with bottom-quark pairs for $H$ and $A$, we find that down-type sfermions, in particular, sbottoms perform a better job in allowing more parameter space than up-type sfermions such as stops, which require much larger values of $\mu$ to compensate for $\tan\beta$. Vacuum stability as well as flavour observables constraints and direct searches for SUSY particles are imposed. We also associate the lightest CP-even Higgs with the observed 125 GeV SM-like Higgs and impose the experimental constraints from the LHC.Comment: 16 pages, 6 figures. Final published versio
Enlarging Regions of the MSSM Parameter Space for Large $\tan\beta$ via SUSY Decays of the Heavy Higgs Bosons
enlarging regions of the mssm parameter space for large $\tan\beta$ via susy decays of the heavy higgs bosons
supersymmetric mssm searches heaviest lepton severely constrain beta bosons avoided decays sfermions couplings maximised trilinear couplings sbottoms staus supersymmetric susy stops. beta enhancement gluon fusion sfermions sbottoms allowing sfermions stops compensate beta flavour observables searches susy imposed. associate lightest impose pages figures. versio
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83850813
10.1007/JHEP08(2017)096
We analyze the collider signatures of the real singlet extension of the Standard Model in regions consistent with a strong first-order electroweak phase transition and a singlet-like scalar heavier than the Standard Model-like Higgs. A definitive correlation exists between the strength of the phase transition and the trilinear coupling of the Higgs to two singlet-like scalars, and hence between the phase transition and non-resonant scalar pair production involving the singlet at colliders. We study the prospects for observing these processes at the LHC and a future 100 TeV $pp$ collider, focusing particularly on double singlet production. We also discuss correlations between the strength of the electroweak phase transition and other observables at hadron and future lepton colliders. Searches for non-resonant singlet-like scalar pair production at 100 TeV would provide a sensitive probe of the electroweak phase transition in this model, complementing resonant di-Higgs searches and precision measurements. Our study illustrates a strategy for systematically exploring the phenomenologically viable parameter space of this model, which we hope will be useful for future work.Comment: 34 pages + 4 appendices, 13 figures. Comments welcome
Non-resonant Collider Signatures of a Singlet-Driven Electroweak Phase Transition
non-resonant collider signatures of a singlet-driven electroweak phase transition
analyze collider signatures singlet electroweak singlet heavier higgs. definitive trilinear singlet scalars resonant involving singlet colliders. prospects observing collider focusing singlet production. electroweak observables hadron lepton colliders. searches resonant singlet electroweak complementing resonant searches precision measurements. illustrates systematically exploring phenomenologically viable hope pages appendices figures. comments welcome
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84093940
10.1007/JHEP08(2017)097
We revisit the relations between open and closed string scattering amplitudes discovered by Kawai, Lewellen, and Tye (KLT). We show that they emerge from the underlying algebro-topological identities known as the twisted period relations. In order to do so, we formulate tree-level string theory amplitudes in the language of twisted de Rham theory. There, open string amplitudes are understood as pairings between twisted cycles and cocycles. Similarly, closed string amplitudes are given as a pairing between two twisted cocycles. Finally, objects relating the two types of string amplitudes are the $\alpha'$-corrected bi-adjoint scalar amplitudes recently defined by the author [arXiv:1610.04230]. We show that they naturally arise as intersection numbers of twisted cycles. In this work we focus on the combinatorial and topological description of twisted cycles relevant for string theory amplitudes. In this setting, each twisted cycle is a polytope, known in combinatorics as the associahedron, together with an additional structure encoding monodromy properties of string integrals. In fact, this additional structure is given by higher-dimensional generalizations of the Pochhammer contour. An open string amplitude is then computed as an integral of a logarithmic form over an associahedron. We show that the inverse of the KLT kernel can be calculated from the knowledge of how pairs of associahedra intersect one another in the moduli space. In the field theory limit, contributions from these intersections localize to vertices of the associahedra, giving rise to the bi-adjoint scalar partial amplitudes.Comment: 51 page
Combinatorics and Topology of Kawai-Lewellen-Tye Relations
combinatorics and topology of kawai-lewellen-tye relations
revisit amplitudes discovered kawai lewellen emerge algebro topological identities twisted relations. formulate amplitudes twisted rham theory. amplitudes understood pairings twisted cycles cocycles. amplitudes pairing twisted cocycles. relating amplitudes alpha corrected adjoint amplitudes naturally arise intersection twisted cycles. combinatorial topological twisted cycles amplitudes. twisted polytope combinatorics associahedron encoding monodromy integrals. generalizations pochhammer contour. logarithmic associahedron. kernel associahedra intersect moduli space. intersections localize associahedra giving adjoint
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42739933
10.1007/JHEP08(2017)099
A discovery of neutrinoless double-$\beta$ decay would be profound, providing the first direct experimental evidence of $\Delta L=2$ lepton number violating processes. While a natural explanation is provided by an effective Majorana neutrino mass, other new physics interpretations should be carefully evaluated. At low--energies such new physics could manifest itself in the form of color and $SU(2)_L \times U(1)_{Y}$ invariant higher dimension operators. Here we determine a complete set of electroweak invariant dimension--9 operators, and our analysis supersedes those that only impose $U(1)_{em}$ invariance. Imposing electroweak invariance implies: 1) a significantly reduced set of leading order operators compared to only imposing $U(1)_{em}$ invariance; and 2) other collider signatures. Prior to imposing electroweak invariance we find a minimal basis of 24 dimension-9 operators, which is reduced to 11 electroweak invariant operators at leading order in the expansion in the Higgs vacuum expectation value. We set up a systematic analysis of the hadronic realization of the 4-quark operators using chiral perturbation theory, and apply it to determine which of these operators have long-distance pion enhancements at leading order in the chiral expansion. We also find at dimension--11 and dimension--13 the electroweak invariant operators that after electroweak symmetry breaking produce the remaining $\Delta L=2$ operators that would appear at dimension--9 if only $U(1)_{em}$ is imposed.Comment: 31 pages, 6 tables, 1 figure. v3 updated references and added extended introduction, conclusions unchanged from v2. v4: updated references; final published versio
An electroweak basis for neutrinoless double $\beta$ decay
an electroweak basis for neutrinoless double $\beta$ decay
discovery neutrinoless beta profound delta lepton violating processes. explanation majorana interpretations carefully evaluated. manifest operators. electroweak supersedes impose invariance. imposing electroweak invariance imposing invariance collider signatures. imposing electroweak invariance electroweak expectation value. hadronic realization chiral perturbation pion enhancements chiral expansion. electroweak electroweak breaking delta pages tables figure. updated unchanged updated versio
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83867015
10.1007/JHEP08(2017)100
The maximal four-dimensional supergravity with a dyonic ISO(7) gauging that arises from the reduction of massive IIA on a six-sphere has recently been shown to accommodate static BPS black holes with hyperbolic horizons. When restricted to the N=2 subsector that retains one vector multiplet and the universal hypermultiplet, the attractor mechanism was shown to fix both the vector charges and the scalar fields at the horizon to a unique configuration in terms of the gauging parameters. In order to assess the (non-)uniqueness of BPS black hole horizons from massive IIA, we extend the study of the attractor mechanism to other N=2 subsectors including additional matter multiplets. We note that, while extending the hypermultiplet sector does not modify the set of solutions to the attractor equations, the inclusion of additional vector multiplets results in new hyperbolic/spherical horizons containing free parameters. The model with three vector multiplets and the universal hypermultiplet, which is the massive IIA analogue of the STU-model from M-theory, may play a relevant role in massive IIA holography.Comment: 18 pages, 2 figures. v2: typos fixed, notation and presentation improved, references added. v3: published versio
BPS black hole horizons from massive IIA
bps black hole horizons from massive iia
maximal supergravity dyonic gauging arises massive sphere accommodate holes hyperbolic horizons. restricted subsector retains multiplet universal hypermultiplet attractor charges horizon gauging parameters. uniqueness horizons massive extend attractor subsectors multiplets. extending hypermultiplet modify attractor inclusion multiplets hyperbolic spherical horizons parameters. multiplets universal hypermultiplet massive analogue massive pages figures. typos notation presentation added. versio
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83858135
10.1007/JHEP08(2017)101
The Hori-Tong and Hori dualities are infrared dualities between two-dimensional gauge theories with $\mathcal{N}{=}(2,2)$ supersymmetry, which are reminiscent of four-dimensional Seiberg dualities. We provide additional evidence for those dualities with $U(N_c)$, $USp(2N_c)$, $SO(N)$ and $O(N)$ gauge groups, by matching correlation functions of Coulomb branch operators on a Riemann surface $\Sigma_g$, in the presence of the topological $A$-twist. The $O(N)$ theories studied, denoted by $O_+ (N)$ and $O_- (N)$, can be understood as $\mathbb{Z}_2$ orbifolds of an $SO(N)$ theory. The correlators of these theories on $\Sigma_g$ with $g > 0$ are obtained by computing correlators with $\mathbb{Z}_2$-twisted boundary conditions and summing them up with weights determined by the orbifold projection.Comment: 45 pages plus appendix; v2: updated bibliography and acknowledgement
A-twisted correlators and Hori dualities
a-twisted correlators and hori dualities
hori tong hori dualities infrared dualities mathcal supersymmetry reminiscent seiberg dualities. dualities matching coulomb branch riemann sigma topological twist. denoted understood mathbb orbifolds theory. correlators sigma correlators mathbb twisted summing weights orbifold pages updated bibliography acknowledgement
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83839764
10.1007/JHEP08(2017)102
We consider SUSY-like events with two decay chains, each terminating in an invisible particle, whose true energy and momentum are not measured in the detector. Nevertheless, a useful educated guess about the invisible momenta can still be obtained by optimizing a suitable invariant mass function. We review and contrast several proposals in the literature for such ansatze: four versions of the M_T2-assisted on-shell reconstruction (MAOS), as well as several variants of the on-shell constrained M_2 variables. We compare the performance of these methods with regards to the mass determination of a new particle resonance along the decay chain from the peak of the reconstructed invariant mass distribution. For concreteness, we consider the event topology of dilepton ttbar events and study each of the three possible subsystems, in both a ttbar and a SUSY example. We find that the M_2 variables generally provide sharper peaks and therefore better ansatze for the invisible momenta. We show that the performance can be further improved by preselecting events near the kinematic endpoint of the corresponding variable from which the momentum ansatz originates.Comment: 38 pages, 15 figure
Testing Invisible Momentum Ansatze in Missing Energy Events at the LHC
testing invisible momentum ansatze in missing energy events at the lhc
susy chains terminating invisible detector. nevertheless educated guess invisible momenta optimizing function. proposals ansatze versions assisted reconstruction maos variants constrained variables. regards reconstructed distribution. concreteness topology dilepton ttbar subsystems ttbar susy example. sharper ansatze invisible momenta. preselecting kinematic endpoint ansatz pages
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84327827
10.1007/JHEP08(2017)103
By using the exact solutions of the Weyl equation in a constant magnetic field, the equal-time Wigner function for magnetized chiral plasma is derived. It is found that the dependence of the Wigner function on the component of momentum along the magnetic field is asymmetric and is correlated with the fermion chirality. Such a dependence is principal for reproducing the correct chiral magnetic and chiral separation effects. In the lowest Landau level approximation, the equation for the equal-time Wigner function in a strong magnetic field is derived. By making use of this equation, it is found that the longitudinal collective modes in a strong magnetic field are gapped plasmons whose gap is determined by the magnetic field. Unlike the ordinary magnetic field, an axial one allows for the dispersion law of the collective excitations asymmetric in the wave vector. The thermoelectric phenomena for chiral fermions in strong magnetic and axial magnetic fields are studied and the corresponding transport coefficients are calculated.Comment: 32 pages, 3 multi-panel figures; published versio
Wigner function and kinetic phenomena for chiral plasma in a strong magnetic field
wigner function and kinetic phenomena for chiral plasma in a strong magnetic field
weyl wigner magnetized chiral derived. wigner asymmetric fermion chirality. principal reproducing chiral chiral effects. landau wigner derived. longitudinal collective gapped plasmons field. unlike ordinary axial collective excitations asymmetric vector. thermoelectric phenomena chiral fermions axial pages versio
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83850804
10.1007/JHEP08(2017)104
We show that a modification of the model with a low energy scalar leptoquark state carrying hypercharge $Y=7/6$ allows to accommodate both $R_K<1$ and $R_{K^\ast}<1$, through loop effects, consistent with recent observations made at LHCb. We describe details of the model, compute the relevant Wilson coefficient and, after discussing a number of constraints, we examine the phenomenological consequences of the model. The bounds on the lepton flavor violating decay rates, induced by this model, include $\mathcal{B}(Z\to\mu\tau) \lesssim \mathcal{O}(10^{-7})$, and $\mathcal{B}(B\to K\mu\tau) \lesssim \mathcal{O}(10^{-9})$. We also comment on the interpretation of the bounds on the leptoquark mass obtained from the direct searches at LHC.Comment: 18 pages, 7 figures (published version
A leptoquark model to accommodate $R_K^\mathrm{exp} <R_K^\mathrm{SM} $ and $R_{K^\ast}^\mathrm{exp}< R_{K^\ast}^\mathrm{SM}$
a leptoquark model to accommodate $r_k^\mathrm{exp} <r_k^\mathrm{sm} $ and $r_{k^\ast}^\mathrm{exp}< r_{k^\ast}^\mathrm{sm}$
modification leptoquark carrying hypercharge accommodate lhcb. wilson discussing examine phenomenological consequences model. bounds lepton flavor violating mathcal lesssim mathcal mathcal lesssim mathcal comment bounds leptoquark searches pages
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83859889
10.1007/JHEP08(2017)105
We consider rare semileptonic decays of a heavy $D$-meson into a light vector meson in the framework of QCD factorization. In contrast to the corresponding $B$-meson decays, the naive factorization hypothesis does not even serve as a first approximation. Rather, the decay amplitudes appear to be dominated by non-factorizable dynamics, e.g. through annihilation topologies, which are particularly sensitive to long-distance hadronic contributions. We therefore pay particular attention to intermediate vector-meson resonances appearing in quark-loop and annihilation topologies. Compared to the analogous $B$-meson decays, we identify a number of effects that result in very large theoretical uncertainties for differential decay rates. Some of these effects are found to cancel in the ratio of partially integrated decay rates for transversely and longitudinally polarized $\rho$ mesons. On the phenomenological side this implies a very limited potential to constrain physics beyond the Standard Model by means of these decays.Comment: 40 pages, 12 figures, minor text changes, minor bug in numerical output fixed, conclusions unchange
$D \to \rho \,\ell^+\ell^-$ Decays in the QCD Factorization Approach
$d \to \rho \,\ell^+\ell^-$ decays in the qcd factorization approach
rare semileptonic decays meson meson factorization. meson decays naive factorization serve approximation. amplitudes dominated factorizable e.g. annihilation topologies hadronic contributions. meson resonances appearing annihilation topologies. analogous meson decays rates. cancel partially transversely longitudinally polarized mesons. phenomenological constrain pages minor minor unchange
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84094669
10.1007/JHEP08(2017)106
We calculate the anomalous dimensions of higher spin singlet currents in the critical $O(N)$ vector model at order $1/N^2$. The results are shown to be in agreement with the four-loop perturbative computation in $\phi^4$ theory in $4-2\epsilon$ dimensions. It is known that the order $1/N$ anomalous dimensions of higher-spin currents happen to be the same in the Gross-Neveu and the critical vector model. On the contrary, the order $1/N^2$ corrections are different. The results can also be interpreted as a prediction for the two-loop computation in the dual higher-spin gravity.Comment: 17 pages, 5 figure
Higher spin currents in the critical $O(N)$ vector model at $1/N^2$
higher spin currents in the critical $o(n)$ vector model at $1/n^2$
anomalous singlet currents perturbative epsilon dimensions. anomalous currents happen gross neveu model. contrary different. interpreted pages
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83864603
10.1007/JHEP08(2017)107
We calculate log corrections to the entropy of three-dimensional black holes with "soft hairy" boundary conditions. Their thermodynamics possesses some special features that preclude a naive direct evaluation of these corrections, so we follow two different approaches. The first one exploits that the BTZ black hole belongs to the spectrum of Brown-Henneaux as well as soft hairy boundary conditions, so that the respective log corrections are related through a suitable change of the thermodynamic ensemble. In the second approach the analogue of modular invariance is considered for dual theories with anisotropic scaling of Lifshitz type with dynamical exponent z at the boundary. On the gravity side such scalings arise for KdV-type boundary conditions, which provide a specific 1-parameter family of multi-trace deformations of the usual AdS3/CFT2 setup, with Brown-Henneaux corresponding to z=1 and soft hairy boundary conditions to the limiting case z=0. Both approaches agree in the case of BTZ black holes for any non-negative z. Finally, for soft hairy boundary conditions we show that not only the leading term, but also the log corrections to the entropy of black flowers endowed with affine u(1) soft hair charges exclusively depend on the zero modes and hence coincide with the ones for BTZ black holes.Comment: 15 pages, no figures, v2: added re
Log corrections to entropy of three dimensional black holes with soft hair
log corrections to entropy of three dimensional black holes with soft hair
holes hairy conditions. thermodynamics possesses preclude naive approaches. exploits belongs brown henneaux hairy respective thermodynamic ensemble. analogue modular invariance anisotropic lifshitz exponent boundary. scalings arise trace deformations usual setup brown henneaux hairy limiting agree holes hairy flowers endowed affine hair charges exclusively coincide pages
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130800871
10.1007/JHEP08(2017)108
We analyse a simple extension of the SM with just an additional scalar singlet coupled to the Higgs boson. We discuss the possible probes for electroweak baryogenesis in this model including collider searches, gravitational wave and direct dark matter detection signals. We show that a large portion of the model parameter space exists where the observation of gravitational waves would allow detection while the indirect collider searches would not.Ankit Beniwal, Marek Lewicki, James D. Wells, Martin White, Anthony G. William
Gravitational wave, collider and dark matter signals from a scalar singlet electroweak baryogenesis
gravitational wave, collider and dark matter signals from a scalar singlet electroweak baryogenesis
analyse singlet boson. probes electroweak baryogenesis collider searches gravitational signals. portion gravitational indirect collider searches not.ankit beniwal marek lewicki james wells martin anthony william
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83837642
10.1007/JHEP08(2017)112
We provide hadronic input for the $B$-meson semileptonic transitions to a light pseudoscalar meson at large recoil. The $B_s\to K$ form factor calculated from QCD light-cone sum rule is updated, to be used for a $|V_{ub}|$ determination from the $B_s\to K \ell \nu$ width. Furthermore, we calculate the hadronic input for the binned observables of $B \to \pi \ell^+ \ell^-$ and $B \to K \ell^+ \ell^-$. In addition to the form factors, the nonlocal hadronic matrix elements are obtained, combining QCD factorization and light-cone sum rules with hadronic dispersion relations. We emphasize that, due to nonlocal effects, the ratio of branching fractions of these decays is not sufficient for an accurate extraction of the $|V_{td}/V_{ts}|$ ratio. Instead, we suggest to determine the Wolfenstein parameters $A,\rho,\eta$ of the CKM matrix, combining the branching fractions of $B \to K \ell^+ \ell^-$ and $B \to \pi \ell^+ \ell^-$ with the direct $CP$-asymmetry in the latter decay. We also obtain the hadronic matrix elements for a yet unexplored channel $B_s \to K \ell^+ \ell^-$.Comment: 21 pages, 4 figures, 5 tables, a few comments and references addded, version accepted for publication in JHE
$B_{s}\to K \ell \nu_\ell$ and $B_{(s)} \to \pi (K) \ell^+\ell^-$ decays at large recoil and CKM matrix elements
$b_{s}\to k \ell \nu_\ell$ and $b_{(s)} \to \pi (k) \ell^+\ell^-$ decays at large recoil and ckm matrix elements
hadronic meson semileptonic pseudoscalar meson recoil. cone updated width. hadronic binned observables nonlocal hadronic combining factorization cone hadronic relations. emphasize nonlocal branching fractions decays extraction ratio. wolfenstein combining branching fractions asymmetry decay. hadronic unexplored .comment pages tables comments addded publication
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84327766
10.1007/JHEP08(2017)113
We present the first determination of Higgs-boson decay to hadrons at the next-to-next-to-next-to-next-to-leading order of perturbative QCD in the limit of a heavy top quark and massless light flavours. This result has been obtained by computing the absorptive parts of the relevant five-loop self-energy for a general gauge group and combining the outcome with the corresponding coefficient function already known to this order in QCD. Our new result reduces the uncertainty due to the truncation of the perturbation series to a fraction of the uncertainty due to the present error of the strong coupling constant. We have also performed the corresponding but technically simpler computations for direct Higgs decay to bottom quarks and for the electromagnetic R-ratio in e^+ e^- -> hadrons, thus verifying important fifth-order results obtained so far only by one group.Comment: 26 pages, LaTeX, 2 axodraw2 and 4 eps figures. FORM files of the main results available with the source. v2: version accepted by JHEP: introduction and summary slightly extended, minor other text changes, a few additional reference
On Higgs decays to hadrons and the R-ratio at N^4LO
on higgs decays to hadrons and the r-ratio at n^4lo
boson hadrons perturbative massless flavours. absorptive combining qcd. reduces truncation perturbation constant. technically simpler computations quarks electromagnetic hadrons verifying fifth pages latex axodraw figures. files source. jhep minor
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83842580
10.1007/JHEP08(2017)114
Exclusive differential spectra in color-singlet processes at hadron colliders are benchmark observables that have been studied to high precision in theory and experiment. We present an effective-theory framework utilizing soft-collinear effective theory to incorporate massive (bottom) quark effects into resummed differential distributions, accounting for both heavy-quark initiated primary contributions to the hard scattering process as well as secondary effects from gluons splitting into heavy-quark pairs. To be specific, we focus on the Drell-Yan process and consider the vector-boson transverse momentum, $q_T$, and beam thrust, $\mathcal T$, as examples of exclusive observables. The theoretical description depends on the hierarchy between the hard, mass, and the $q_T$ (or $\mathcal T$) scales, ranging from the decoupling limit $q_T \ll m$ to the massless limit $m \ll q_T$. The phenomenologically relevant intermediate regime $m \sim q_T$ requires in particular quark-mass dependent beam and soft functions. We calculate all ingredients for the description of primary and secondary mass effects required at NNLL$'$ resummation order (combining NNLL evolution with NNLO boundary conditions) for $q_T$ and $\mathcal T$ in all relevant hierarchies. For the $q_T$ distribution the rapidity divergences are different from the massless case and we discuss features of the resulting rapidity evolution. Our results will allow for a detailed investigation of quark-mass effects in the ratio of $W$ and $Z$ boson spectra at small $q_T$, which is important for the precision measurement of the $W$-boson mass at the LHC.Comment: 42 pages + appendices, 21 figures; v2: journal versio
Factorization and Resummation for Massive Quark Effects in Exclusive Drell-Yan
factorization and resummation for massive quark effects in exclusive drell-yan
exclusive singlet hadron colliders benchmark observables precision experiment. utilizing collinear incorporate massive resummed accounting initiated gluons splitting pairs. drell boson thrust mathcal exclusive observables. hierarchy mathcal ranging decoupling massless phenomenologically functions. ingredients nnll resummation combining nnll nnlo mathcal hierarchies. rapidity divergences massless rapidity evolution. boson precision boson pages appendices versio
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73401115
10.1007/JHEP08(2017)115
We derive the latest constraints on various simplified models of natural SUSY with light higgsinos, stops and gluinos, using a detailed and comprehensive reinterpretation of the most recent 13 TeV ATLAS and CMS searches with $\sim 15$ fb$^{-1}$ of data. We discuss the implications of these constraints for fine-tuning of the electroweak scale. While the most "vanilla" version of SUSY (the MSSM with $R$-parity and flavor-degenerate sfermions) with 10% fine-tuning is ruled out by the current constraints, models with decoupled valence squarks or reduced missing energy can still be fully natural. However, in all of these models, the mediation scale must be extremely low ($<100$ TeV). We conclude by considering the prospects for the high-luminosity LHC era, where we expect the current limits on particle masses to improve by up to $\sim 1$ TeV, and discuss further model-building directions for natural SUSY that are motivated by this work.Comment: v2: added tree level- parton shower matching, fixed bug in Delphes, main results unchanged. 24 pages, 7 figures, plus appendi
Cornering Natural SUSY at LHC Run II and Beyond
cornering natural susy at lhc run ii and beyond
derive latest simplified susy higgsinos stops gluinos comprehensive reinterpretation atlas searches data. fine tuning electroweak scale. vanilla susy mssm parity flavor degenerate sfermions fine tuning ruled decoupled valence squarks missing natural. mediation extremely prospects luminosity directions susy motivated parton shower matching delphes unchanged. pages appendi
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83863252
10.1007/JHEP08(2017)116
We study the T-dualisability criteria of Chatzistavrakidis, Deser and Jonke [3] who recently used Lie algebroid gauge theories to obtain sigma models exhibiting a "T-duality without isometry". We point out that those T-dualisability criteria are not written invariantly in [3] and depend on the choice of the algebroid framing. We then show that there always exists an isometric framing for which the Lie algebroid gauging boils down to standard Yang-Mills gauging. The "T-duality without isometry" of Chatzistavrakidis, Deser and Jonke is therefore nothing but traditional isometric non-Abelian T-duality in disguise.Comment: 15 page
Hidden isometry of "T-duality without isometry"
hidden isometry of "t-duality without isometry"
dualisability chatzistavrakidis deser jonke algebroid sigma exhibiting duality isometry dualisability invariantly algebroid framing. isometric framing algebroid gauging boils mills gauging. duality isometry chatzistavrakidis deser jonke nothing traditional isometric abelian duality
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73403588
10.1007/JHEP08(2017)118
We study CFT data of 3-dimensional superconformal field theories (SCFTs) arising from wrapped two M5-branes on closed hyperbolic 3-manifolds. Via so-called 3d/3d correspondence, central charges of these SCFTs are related to a $SL(2)$ Chern-Simons (CS) invariant on the 3-manifolds. We give a rigorous definition of the invariant in terms of resurgence theory and a state-integral model for the complex CS theory. We numerically evaluate the central charges for several closed 3-manifolds with small hyperbolic volume. The computation suggests that the wrapped M5-brane systems give infinitely many discrete SCFTs with small central charges. We also analyze these `minimal' SCFTs in the eye of 3d $\mathcal{N}=2$ superconformal bootstrap.Comment: 32 pages, 7 figures; v2: minor corrections, references adde
3d $\mathcal{N}=2$ minimal SCFTs from Wrapped M5-branes
3d $\mathcal{n}=2$ minimal scfts from wrapped m5-branes
superconformal scfts arising wrapped branes hyperbolic manifolds. correspondence charges scfts chern simons manifolds. rigorous resurgence theory. numerically charges manifolds hyperbolic volume. wrapped brane infinitely scfts charges. analyze scfts mathcal superconformal pages minor adde
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83856270
10.1007/JHEP08(2017)119
We give a new expression for the supercurrent and its conservation in curved ${\cal N}=1$, $D=4$ superspace using the superconformal approach. The first component of the superfield, whose lowest component is the vector auxiliary field gives the (super)Einstein equations. Its trace and couplings to conformal and non-conformal matter is presented. In a suitable dilatational gauge, the conformal gauge, we obtain an update of the Callan-Coleman-Jackiw improved currents for conformal matter, containing $R$-symmetry corrections for a new traceless covariantly conserved energy--momentum tensor. We observe that in the Poincar\'e gauge, where standard Poincar\'e supergravity is usually formulated, the currents are not improved and then the higher conformal symmetry of the matter sector is obscured. The curvature multiplets are used to find supersymmetric curved backgrounds and some examples are exhibited in agreement with existing results.Comment: 43 pages; v2: Typos corrected. A subsection, an appendix and references adde
The Supercurrent and Einstein equations in the Superconformal formulation
the supercurrent and einstein equations in the superconformal formulation
supercurrent conservation curved superspace superconformal approach. superfield auxiliary super einstein equations. trace couplings conformal conformal presented. dilatational conformal update callan coleman jackiw currents conformal traceless covariantly conserved tensor. poincar poincar supergravity formulated currents conformal obscured. curvature multiplets supersymmetric curved backgrounds exhibited pages typos corrected. subsection adde
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83855967
10.1007/JHEP08(2017)121
We numerically study the behaviour of entanglement entropy for a free scalar field on the noncommutative ("fuzzy") sphere after a mass quench. It is known that the entanglement entropy before a quench violates the usual area law due to the non-local nature of the theory. By comparing our results to the ordinary sphere, we find results that, despite this non-locality, are compatible with entanglement being spread by ballistic propagation of entangled quasi-particles at a speed no greater than the speed of light. However, we also find that, when the pre-quench mass is much larger than the inverse of the short-distance cutoff of the fuzzy sphere (a regime with no commutative analogue), the entanglement entropy spreads faster than allowed by a local model.Comment: 1+14 pages, 8 figures v2: References added, matches published versio
Time dependence of entanglement entropy on the fuzzy sphere
time dependence of entanglement entropy on the fuzzy sphere
numerically entanglement noncommutative fuzzy sphere quench. entanglement quench violates usual theory. ordinary sphere locality compatible entanglement spread ballistic propagation entangled quasi light. quench cutoff fuzzy sphere commutative analogue entanglement spreads faster pages matches versio
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83860273
10.1007/JHEP08(2017)122
The discovery potential of light pseudo scalar Higgs boson for the mass range 10-60 GeV is explored. In the context of the next-to-minimal supersymmetric standard(NMSSM) model, the branching fraction of light pseudo scalar Higgs boson decaying to a pair of photon can be quite large. A pair of light pseudo scalar Higgs boson produced indirectly through the standard model Higgs boson decay yields multiple photons in the final state and the corresponding production rate is restricted by ATLAS data. Discussing the impact of this constraint in the NMSSM, the detection prospects of light pseudoscalar Higgs boson in the channel consisting of at least three photons, a lepton and missing transverse energy are reported. It is observed that the possibilities of finding the pseudoscalar Higgs boson for the above mass range are promising for an integrated luminosity $\mathcal{L}=100 \text{fb}^{-1}$ with moderate significances, which can reach to more than 5$\sigma$ for higher luminosity options.Comment: 24 pages, 4 figures, updated reference
Detection prospects of light pseudoscalar Higgs boson at the LHC
detection prospects of light pseudoscalar higgs boson at the lhc
discovery pseudo boson explored. supersymmetric nmssm branching pseudo boson decaying large. pseudo boson indirectly boson photons restricted atlas data. discussing nmssm prospects pseudoscalar boson consisting photons lepton missing reported. possibilities pseudoscalar boson promising luminosity mathcal moderate significances sigma luminosity pages updated
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83868975
10.1007/JHEP08(2017)123
We compile information from low-energy observables sensitive to flavor-conserving 4-fermion operators with two or four leptons. Our analysis includes data from e+e- colliders, neutrino scattering on electron or nucleon targets, atomic parity violation, parity-violating electron scattering, and the decay of pions, neutrons, nuclei and tau leptons. We recast these data as tree-level constraints on 4-fermion operators in the Standard Model Effective Field Theory (SMEFT) where the SM Lagrangian is extended by dimension-6 operators. We allow all independent dimension-6 operators to be simultaneously present with an arbitrary flavor structure. The results are presented as a multi-dimensional likelihood function in the space of dimension-6 Wilson coefficients, which retains information about the correlations. In this form, the results can be readily used to place limits on masses and couplings in a large class of new physics theories.Comment: 39 pages; full correlation matrix and likelihood function available in Mathematica notebook at https://www.dropbox.com/s/26nh71oebm4o12k/SMEFTlikelihood.nb?dl=0 v2: comments and references added, translation to Warsaw basis provided in notebook; v3: references adde
Compilation of low-energy constraints on 4-fermion operators in the SMEFT
compilation of low-energy constraints on 4-fermion operators in the smeft
compile observables flavor conserving fermion leptons. colliders nucleon targets parity violation parity violating pions neutrons nuclei leptons. recast fermion smeft lagrangian operators. simultaneously flavor structure. likelihood wilson retains correlations. readily couplings pages likelihood mathematica notebook comments translation warsaw notebook adde
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73392619
10.1007/JHEP08(2017)124
In this note we consider aspects of the current algebra interpretation of multi-soft limits of tree-level gluon scattering amplitudes in four dimensions. Building on the relation between a positive helicity gluon soft-limit and the Ward identity for a level-zero Kac-Moody current, we use the double-soft limit to define the Sugawara energy-momentum tensor and, by using the triple- and quadruple-soft limits, show that it satisfies the correct OPEs for a CFT. We study the resulting Knizhnik-Zamolodchikov equations and show that they hold for positive helicity gluons in MHV amplitudes. Turning to the sub-leading soft-terms we define a one-parameter family of currents whose Ward identities correspond to the universal tree-level sub-leading soft-behaviour. We compute the algebra of these currents formed with the leading currents and amongst themselves. Finally, by parameterising the ambiguity in the double-soft limit for mixed helicities, we introduce a non-trivial OPE between the holomorphic and anti-holomorphic currents and study some of its implications.Comment: 24 pages, 1 figur
Multi-Soft gluon limits and extended current algebras at null-infinity
multi-soft gluon limits and extended current algebras at null-infinity
gluon amplitudes dimensions. helicity gluon ward moody sugawara triple quadruple satisfies opes cft. knizhnik zamolodchikov hold helicity gluons amplitudes. turning currents ward identities universal behaviour. currents currents amongst themselves. parameterising ambiguity helicities trivial holomorphic holomorphic currents pages figur
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83864948
10.1007/JHEP08(2017)125
We continue to investigate the dual description of the Virasoro conformal blocks arising in the framework of the classical limit of the AdS$_3$/CFT$_2$ correspondence. To give such an interpretation in previous studies, certain restrictions were necessary. Our goal here is to consider more general situation available through the worldline approximation to the dual AdS gravity. Namely, we are interested in computing the spherical conformal blocks without the previously imposed restrictions on the conformal dimensions of the internal channels. The duality is realised as an equality of the so-called heavy-light limit of the n-point conformal block and the action of n-2 particles propagating in some AdS-like background with either a conical singularity or a BTZ black hole. We describe a procedure that allows relaxing the constraint on the intermediate channels. To obtain an explicit expression for the conformal block on the CFT side, we use a recently proposed recursion procedure and find full agreement between the results of the boundary and bulk computations.Comment: 13 pages, v3: refs added, typos remove
Geodesic description of Heavy-Light Virasoro blocks
geodesic description of heavy-light virasoro blocks
continue virasoro conformal blocks arising correspondence. restrictions necessary. goal worldline gravity. interested spherical conformal blocks imposed restrictions conformal channels. duality realised equality conformal propagating conical singularity hole. relaxing channels. conformal recursion pages refs typos remove
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83841601
10.1007/JHEP08(2017)126
We investigate a weak version of subsystem eigenstate thermalization hypothesis (ETH) for a two-dimensional large central charge conformal field theory by comparing the local equivalence of high energy state and thermal state of canonical ensemble. We evaluate the single-interval R\'enyi entropy and entanglement entropy for a heavy primary state in short interval expansion. We verify the results of R\'enyi entropy by two different replica methods. We find nontrivial results at the eighth order of short interval expansion, which include an infinite number of higher order terms in the large central charge expansion. We then evaluate the relative entropy of the reduced density matrices to measure the difference between the heavy primary state and thermal state of canonical ensemble, and find that the aforementioned nontrivial eighth order results make the relative entropy unsuppressed in the large central charge limit. By using Pinsker's and Fannes-Audenaert inequalities, we can exploit the results of relative entropy to yield the lower and upper bounds on trace distance of the excited-state and thermal-state reduced density matrices. Our results are consistent with subsystem weak ETH, which requires the above trace distance is of power-law suppression by the large central charge. However, we are unable to pin down the exponent of power-law suppression. As a byproduct we also calculate the relative entropy to measure the difference between the reduced density matrices of two different heavy primary states.Comment: 28 pages, 4 figures;v2 change author list;v3 related subtleties about weak ETH clarified; v4 minor correction to match JHEP versio
Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT
subsystem eigenstate thermalization hypothesis for entanglement entropy in cft
subsystem eigenstate thermalization conformal equivalence canonical ensemble. enyi entanglement expansion. verify enyi replica methods. nontrivial eighth infinite expansion. canonical ensemble aforementioned nontrivial eighth unsuppressed limit. pinsker fannes audenaert inequalities exploit bounds trace excited matrices. subsystem trace suppression charge. unable exponent suppression. byproduct pages subtleties clarified minor match jhep versio
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84326728
10.1007/JHEP08(2017)127
We consider classical, pure Yang-Mills theory in a box. We show how a set of static electric fields that solve the theory in an adiabatic limit correspond to geodesic motion on the space of vacua, equipped with a particular Riemannian metric that we identify. The vacua are generated by spontaneously broken global gauge symmetries, leading to an infinite number of conserved momenta of the geodesic motion. We show that these correspond to the soft multipole charges of Yang-Mills theory.Comment: 46 pages, 1 figure, Published versio
Strolling along gauge theory vacua
strolling along gauge theory vacua
mills box. solve adiabatic geodesic vacua equipped riemannian identify. vacua spontaneously broken symmetries infinite conserved momenta geodesic motion. multipole charges mills pages versio
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83859390
10.1007/JHEP08(2017)128
We bootstrap ${\cal N}=(1,0)$ superconformal field theories in six dimensions, by analyzing the four-point function of flavor current multiplets. Assuming $E_8$ flavor group, we present universal bounds on the central charge $C_T$ and the flavor central charge $C_J$. Based on the numerical data, we conjecture that the rank-one E-string theory saturates the universal lower bound on $C_J$, and numerically determine the spectrum of long multiplets in the rank-one E-string theory. We comment on the possibility of solving the higher-rank E-string theories by bootstrap and thereby probing M-theory on AdS${}_7\times{\rm S}^4$/$\mathbb{Z}_2$.Comment: 59 pages, 10 figures, 4 tables; v2-v5: typos corrected, references adde
Carving Out the End of the World or (Superconformal Bootstrap in Six Dimensions)
carving out the end of the world or (superconformal bootstrap in six dimensions)
bootstrap superconformal analyzing flavor multiplets. flavor universal bounds flavor conjecture saturates universal numerically multiplets theory. comment solving bootstrap thereby probing mathbb .comment pages tables typos corrected adde
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83857022
10.1007/JHEP08(2017)130
We study a variant of Gauge-flation where the gauge symmetry is spontaneously broken by a Higgs sector. We work in the Stueckelberg limit and demonstrate that the dynamics remain (catastrophically) unstable for cases where the gauge field masses satisfy $\gamma < 2$, where $\gamma = g^2\psi^2/H^2$, $g$ is the gauge coupling, $\psi$ is the gauge field vacuum expectation value, and $H$ is the Hubble rate. We compute the spectrum of density fluctuations and gravitational waves, and show that the model can produce observationally viable spectra. The background gauge field texture violates parity, resulting in a chiral gravitational wave spectrum. This arises due to an exponential enhancement of one polarization of the spin-2 fluctuation of the gauge field. Higgsed Gauge-flation can produce observable gravitational waves at inflationary energy scales well below the GUT scale.Comment: 52 pages, 14 figure
Higgsed Gauge-flation
higgsed gauge-flation
variant flation spontaneously broken sector. stueckelberg catastrophically unstable satisfy gamma gamma expectation hubble rate. gravitational observationally viable spectra. texture violates parity chiral gravitational spectrum. arises exponential enhancement fluctuation field. higgsed flation observable gravitational inflationary pages
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78507639
10.1007/JHEP08(2017)131
In a recent paper we studied the effect of new-physics operators with different Lorentz structures on the semileptonic $\Lambda_b \to \Lambda_c \tau \bar{\nu}_{\tau}$ decay. This decay is of interest in light of the $R({D^{(*)}})$ puzzle in the semileptonic $\bar{B} \to D^{(*)} \tau {\bar\nu}_\tau$ decays. In this work we add tensor operators to extend our previous results and consider both model-independent new physics (NP) and specific classes of models proposed to address the $R({D^{(*)}})$ puzzle. We show that a measurement of $R(\Lambda_c) = {\cal B}[\Lambda_b \to \Lambda_c \tau \bar{\nu}_{\tau}] / {\cal B}[\Lambda_b \to \Lambda_c \ell \bar{\nu}_{\ell}]$ can strongly constrain the NP parameters of models discussed for the $R({D^{(*)}})$ puzzle. We use form factors from lattice QCD to calculate all $\Lambda_b \to \Lambda_c \tau \bar{\nu}_{\tau}$ observables. The $\Lambda_b \to \Lambda_c$ tensor form factors had not previously been determined in lattice QCD, and we present new lattice results for these form factors here.Comment: 44 pages, 105 figure
Phenomenology of $\Lambda_b \to \Lambda_c \tau \bar{\nu}_{\tau}$ using lattice QCD calculations
phenomenology of $\lambda_b \to \lambda_c \tau \bar{\nu}_{\tau}$ using lattice qcd calculations
lorentz semileptonic lambda lambda decay. puzzle semileptonic decays. extend puzzle. lambda lambda lambda lambda lambda constrain puzzle. lambda lambda observables. lambda lambda pages
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78508679
10.1007/JHEP08(2017)133
In this note, we explore the correspondence between four-dimensional flat space S-matrix and two-dimensional CFT proposed by Pasterski et al. We demonstrate that the factorization singularities of an n-point cubic diagram reproduces the AdS Witten diagrams if mass conservation is imposed at each vertex. Such configuration arises naturally if we consider the 4-dimensional S-matrix as a compactified massless 5-dimensional theory. This identification allows us to rewrite the massless S-matrix in the CHY formulation, where the factorization singularities are re-interpreted as factorization limits of a Riemann sphere. In this light, the map is recast into a form of 2d/2d correspondence.Comment: 18 page
S-matrix singularities and CFT correlation functions
s-matrix singularities and cft correlation functions
explore correspondence pasterski factorization singularities cubic reproduces witten diagrams conservation imposed vertex. arises naturally compactified massless theory. rewrite massless formulation factorization singularities interpreted factorization riemann sphere. recast
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73957486
10.1007/JHEP08(2017)135
We continue our investigation of Z-theory, the second double-copy component of open-string tree-level interactions besides super-Yang-Mills (sYM). We show that the amplitudes of the extended non-linear sigma model (NLSM) recently considered by Cachazo, Cha, and Mizera are reproduced by the leading alpha'-order of Z-theory amplitudes in the semi-abelian case. The extension refers to a coupling of NLSM pions to bi-adjoint scalars, and the semi-abelian case involves to a partial symmetrization over one of the color orderings that characterize the Z-theory amplitudes. Alternatively, the partial symmetrization corresponds to a mixed interaction among abelian and non-abelian states in the underlying open-superstring amplitude. We simplify these permutation sums via monodromy relations which greatly increase the efficiency in extracting the alpha'-expansion of these amplitudes. Their alpha'-corrections encode higher-derivative interactions between NLSM pions and bi-colored scalars all of which obey the duality between color and kinematics. Through double-copy, these results can be used to generate the predictions of supersymmetric Dirac-Born-Infeld-Volkov-Akulov theory coupled with sYM as well as a complete tower of higher-order alpha'-corrections.Comment: 27 pages, v2: published versio
Semi-abelian Z-theory: NLSM+phi^3 from the open string
semi-abelian z-theory: nlsm+phi^3 from the open string
continue copy besides super mills amplitudes sigma nlsm cachazo mizera reproduced alpha amplitudes abelian case. refers nlsm pions adjoint scalars abelian involves symmetrization orderings characterize amplitudes. alternatively symmetrization abelian abelian superstring amplitude. simplify permutation sums monodromy greatly extracting alpha amplitudes. alpha encode nlsm pions colored scalars obey duality kinematics. copy supersymmetric dirac born infeld volkov akulov tower alpha pages versio
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