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42713921
10.1007/JHEP08(2016)051
We calculate 1-loop corrections to the Schwinger-Keldysh propagators of Standard-Model-like fields of spin-0, 1/2, and 1, with all renormalizable interactions during inflation. We pay special attention to the late-time divergences of loop corrections, and show that the divergences can be resummed into finite results in the late-time limit using dynamical renormalization group method. This is our first step toward studying both the standard model and new physics in the primordial universe.Comment: 34 pages. Typos corrected. Discussions in Sec. 5 expanded. JHEP published versio
Loop Corrections to Standard Model Fields in Inflation
loop corrections to standard model fields in inflation
schwinger keldysh propagators renormalizable inflation. divergences divergences resummed renormalization method. toward studying primordial pages. typos corrected. discussions sec. expanded. jhep versio
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42710672
10.1007/JHEP08(2016)052
Heavy right-handed neutrinos (RHNs) provide the simplest explanation for the origin of light neutrino masses and mixings. If the RHN masses are at or below the weak scale, direct experimental discovery of these states is possible at accelerator experiments such as the LHC or new dedicated beam dump experiments; in such experiments, the RHN decays after traversing a macroscopic distance from the collision point. The experimental sensitivity to RHNs is significantly enhanced if there is a new "dark" gauge force connecting them to the Standard Model (SM), and detection of RHNs can be the primary discovery mode for the new dark force itself. We take the well-motivated example of a B-L gauge symmetry and analyze the sensitivity to displaced decays of the RHNs produced via the new gauge interaction in two experiments: the LHC and the proposed SHiP beam dump experiment. In the most favorable case in which the mediator can be produced on-shell and decays to RHNs, the sensitivity reach is controlled by the square of the B-L gauge coupling. We demonstrate that these experiments could access neutrino parameters responsible for the observed SM neutrino masses and mixings in the most straightforward implementation of the see-saw mechanism.Comment: 16 pages, 12 figures. v2: final version published in JHE
Shedding Light on Neutrino Masses with Dark Forces
shedding light on neutrino masses with dark forces
handed neutrinos rhns simplest explanation mixings. discovery accelerator dedicated dump decays traversing macroscopic collision point. rhns connecting rhns discovery itself. motivated analyze displaced decays rhns ship dump experiment. favorable mediator decays rhns coupling. mixings straightforward pages figures.
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42733074
10.1007/JHEP08(2016)054
It has been shown recently that the anomalies observed in $\bar B\to D^{(\ast)}\tau\bar\nu_\tau$ and $\bar B\to \bar K\ell^+\ell^-$ decays could be resolved with just one scalar leptoquark. Fitting to the current data on $R(D^{(\ast)})$ along with acceptable $q^2$ distributions in $\bar B\to D^{(\ast)}\tau\bar\nu_\tau$ decays, four best-fit solutions for the operator coefficients have been found. In this paper, we explore the possibilities of how to discriminate these four solutions. Firstly, we find that two of them are already excluded by the decay $B_c^-\to \tau^-\bar\nu_\tau$, because the predicted decay widths have already overshot the total width $\Gamma_{B_c}$. It is then found that the remaining two solutions result in two effective Hamiltonians governing $b\to c \tau \bar\nu_{\tau}$ transition, which differ by a sign and enhance the absolute value of the coefficient of $\bar c_L\gamma_\mu b_L\,\bar \tau_L\gamma^\mu{\nu_\tau}_L$ operator by about $12\%$. However, they give nearly the same predictions as in the SM for the $D^\ast$ and $\tau$ longitudinal polarizations as well as the lepton forward-backward asymmetries in $\bar B\to D^{(\ast)}\tau\bar\nu_\tau$ decays. For the other observables like $\mathcal B(B_c^-\to \tau^-\bar\nu_\tau)$, $\mathcal B(B_c^- \to \gamma\tau^-\bar\nu_\tau)$, $R_{D^{(\ast)}}(q^2)$, ${\rm d}\mathcal B(\bar B\to D^{(\ast)}\tau\bar\nu_\tau)/{\rm d}q^2$ and $\mathcal B(\bar B\to X_c\tau\bar\nu_\tau)$, on the other hand, the two solutions give sizable enhancements relative to the SM predictions. With measurement of $B_c^-\to \tau^-\bar\nu_\tau$ at LHCb and refined measurements of observables in $\bar B\to D^{(\ast)}\tau\bar\nu_\tau$ at both LHCb and Belle-II, such a specific NP scenario could be further deciphered.Comment: 30 pages, 7 figures, 4 tables; More references added; One plot, more references and discussions added, final version to be published in JHE
Revisiting the one leptoquark solution to the $R(D^{(\ast)})$ anomalies and its phenomenological implications
revisiting the one leptoquark solution to the $r(d^{(\ast)})$ anomalies and its phenomenological implications
anomalies decays resolved leptoquark. fitting acceptable decays found. explore possibilities discriminate solutions. firstly excluded widths overshot gamma hamiltonians governing enhance gamma gamma nearly longitudinal polarizations lepton backward asymmetries decays. observables mathcal mathcal gamma mathcal mathcal sizable enhancements predictions. lhcb refined observables lhcb belle pages tables discussions
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42643476
10.1007/JHEP08(2016)056
We study two dimensional conformal field theories in the semiclassical limit. In this limit, the four-point function is dominated by intermediate primaries of particular weights along with their descendants, and the crossing equations simplify drastically. For a four-point function receiving sufficiently small contributions from the light primaries, the structure constants involving heavy primaries follow a universal formula. Applying our results to the four-point function of the $\mathbb Z_2$ twist field in the symmetric product orbifold, we produce the Hellerman bound and the logarithmically corrected Cardy formula that is valid for $h \geq c/12$.Comment: 32 pages, 7 figures. v2, v3: references added, minor clarification
Bootstrapping 2D CFTs in the Semiclassical Limit
bootstrapping 2d cfts in the semiclassical limit
conformal semiclassical limit. dominated primaries weights descendants crossing simplify drastically. receiving sufficiently primaries involving primaries universal formula. mathbb twist orbifold hellerman logarithmically corrected cardy valid .comment pages figures. minor clarification
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42664380
10.1007/JHEP08(2016)057
We examine in greater detail the recent proposal of using superconductors for detecting dark matter as light as the warm dark matter limit of O(keV). Detection of such light dark matter is possible if the entire kinetic energy of the dark matter is extracted in the scattering, and if the experiment is sensitive to O(meV) energy depositions. This is the case for Fermi-degenerate materials in which the Fermi velocity exceeds the dark matter velocity dispersion in the Milky Way of ~10^-3. We focus on a concrete experimental proposal using a superconducting target with a transition edge sensor in order to detect the small energy deposits from the dark matter scatterings. Considering a wide variety of constraints, from dark matter self-interactions to the cosmic microwave background, we show that models consistent with cosmological/astrophysical and terrestrial constraints are observable with such detectors. A wider range of viable models with dark matter mass below an MeV is available if dark matter or mediator properties (such as couplings or masses) differ at BBN epoch or in stellar interiors from those in superconductors. We also show that metal targets pay a strong in-medium suppression for kinetically mixed mediators; this suppression is alleviated with insulating targets.Comment: 40 pages, 10 figures; v2: updated figures, matches published versio
Detecting Superlight Dark Matter with Fermi-Degenerate Materials
detecting superlight dark matter with fermi-degenerate materials
examine proposal superconductors detecting warm depositions. fermi degenerate fermi exceeds milky concrete proposal superconducting sensor detect deposits scatterings. cosmic microwave cosmological astrophysical terrestrial observable detectors. wider viable mediator couplings epoch interiors superconductors. targets suppression kinetically mediators suppression alleviated insulating pages updated matches versio
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42703325
10.1007/JHEP08(2016)058
There exists a vast literature examining the electroweak (EW) fine-tuning problem in supersymmetric scenarios, but little concerned with the dark matter (DM) one, which should be combined with the former. In this paper, we study this problem in an, as much as possible, exhaustive and rigorous way. We have considered the MSSM framework, assuming that the LSP is the lightest neutralino, $\chi_1^0$, and exploring the various possibilities for the mass and composition of $\chi_1^0$, as well as different mechanisms for annihilation of the DM particles in the early Universe (well-tempered neutralinos, funnels and co-annihilation scenarios). We also present a discussion about the statistical meaning of the fine-tuning and how it should be computed for the DM abundance, and combined with the EW fine-tuning. The results are very robust and model-independent and favour some scenarios (like the h-funnel when $M_{\chi_1^0}$ is not too close to $m_h/2$) with respect to others (such as the pure wino case). These features should be taken into account when one explores "natural SUSY" scenarios and their possible signatures at the LHC and in DM detection experiments.Comment: 28 pages, 18 figures. References added, matches JHEP published versio
Naturalness of MSSM dark matter
naturalness of mssm dark matter
vast examining electroweak fine tuning supersymmetric scenarios concerned former. exhaustive rigorous way. mssm lightest neutralino exploring possibilities annihilation universe tempered neutralinos funnels annihilation scenarios meaning fine tuning abundance fine tuning. robust favour scenarios funnel wino explores susy scenarios signatures pages figures. matches jhep versio
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42727979
10.1007/JHEP08(2016)059
We study three-dimensional ${\mathcal N}=2$ supersymmetric gauge theories on ${\Sigma_g \times S^1}$ with a topological twist along $\Sigma_g$, a genus-$g$ Riemann surface. The twisted supersymmetric index at genus $g$ and the correlation functions of half-BPS loop operators on $S^1$ can be computed exactly by supersymmetric localization. For $g=1$, this gives a simple UV computation of the 3d Witten index. Twisted indices provide us with a clean derivation of the quantum algebra of supersymmetric Wilson loops, for any Yang-Mills-Chern-Simons-matter theory, in terms of the associated Bethe equations for the theory on ${\mathbb R}^2 \times S^1$. This also provides a powerful and simple tool to study 3d ${\mathcal N}=2$ Seiberg dualities. Finally, we study A- and B-twisted indices for ${\mathcal N}=4$ supersymmetric gauge theories, which turns out to be very useful for quantitative studies of three-dimensional mirror symmetry. We also briefly comment on a relation between the $S^2 \times S^1$ twisted indices and the Hilbert series of ${\mathcal N}=4$ moduli spaces.Comment: 66 pages plus appendix; v2: corrected typos and added reference
Comments on twisted indices in 3d supersymmetric gauge theories
comments on twisted indices in 3d supersymmetric gauge theories
mathcal supersymmetric sigma topological twist sigma genus riemann surface. twisted supersymmetric genus supersymmetric localization. witten index. twisted indices clean derivation supersymmetric wilson loops mills chern simons bethe mathbb powerful mathcal seiberg dualities. twisted indices mathcal supersymmetric turns mirror symmetry. briefly comment twisted indices hilbert mathcal moduli pages corrected typos
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42741825
10.1007/JHEP08(2016)060
Models in which the 750 GeV resonance ($S$) decays to two light axion-like particles (ALPs $a$), which in turn decay to collimated photons mimicking the observed signal, are motivated by Hidden Valley scenarios and could also provide a mechanism by which a $S \to \gamma \gamma$ signal persists while $S \to Z \gamma,\; ZZ$ and $WW$ remain subdued in the near future. We point out that these Hidden Valley like models invoking $S \to aa \to 4 \gamma$ must also contend with $Z \to a (\to \gamma \gamma) \gamma$ constraints coming from CDF and ATLAS. Within an effective field theory framework, we work out the constraints on the couplings of $S$ to $a$ and gauge bosons coming from photonic $Z$ decays and ensuring that the ALPs decay inside the electromagnetic calorimeter, in two regimes - where $a$ decays primarily to photons, and where $a$ also has hadronic branchings. The analysis is done for both when $S$ has a large as well as a narrow width, and for different relative contributions to the signal coming from $S \to \gamma \gamma$ and $a \to \gamma \gamma$. Results for the particular case where $S$ and $a$ belong to the same complex field are also presented. A $\gamma\gamma$ resonance at the $Z$-pole coming from $Z \to a \gamma$ is expected in this class of models. Taking benchmark ALP masses below around 0.4 GeV and, assuming reasonable values for the fake jet rate and the identification efficiency of the photon-jet, we find the prospects for the discovery of diphotons at the $Z$-pole.Comment: 19 pages, 11 figure
Diphotons at the $Z$-pole in Models of the 750 GeV Resonance Decaying to Axion-Like Particles
diphotons at the $z$-pole in models of the 750 gev resonance decaying to axion-like particles
decays axion alps collimated photons mimicking motivated hidden valley scenarios gamma gamma persists gamma subdued future. hidden valley invoking gamma contend gamma gamma gamma coming atlas. couplings bosons coming photonic decays ensuring alps electromagnetic calorimeter regimes decays primarily photons hadronic branchings. narrow coming gamma gamma gamma gamma belong presented. gamma gamma pole coming gamma models. benchmark reasonable fake prospects discovery diphotons pages
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42703771
10.1007/JHEP08(2016)061
In this paper, we solved numerically the Quantum Spectral Curve (QSC) equations corresponding to some twist-2 single trace operators with even spin from the $sl(2)$ sector of $AdS_5/CFT_4$ correspondence. We describe all technical details of the numerical method which are necessary to implement it in C++ language. In the $S=2,4,6,8$ cases, our numerical results confirm the analytical results, known in the literature for the first 4 coefficients of the strong coupling expansion for the anomalous dimensions of twist-2 operators. In the case of the Konishi operator, due to the high precision of the numerical data we could give numerical predictions to the values of two further coefficients, as well. The strong coupling behaviour of the coefficients $c_{a,n}$ in the power series representation of the ${\bf P}_{\!a}$-functions is also investigated. Based on our numerical data, in the regime, where the index of the coefficients is much smaller than $\lambda^{1/4}$, we conjecture that the coefficients have polynomial index dependence at strong coupling. This allows one to propose a strong coupling series representation for the ${\bf P}$-functions being valid far enough from the real short cut. In the paper the qualitative strong coupling behaviour of the ${\bf P}$-functions at the branch points is also discussed.Comment: 72 pages, 9 figures, 5 ancillary file
Strong coupling results from the numerical solution of the quantum spectral curve
strong coupling results from the numerical solution of the quantum spectral curve
solved numerically twist trace correspondence. implement language. confirm anomalous twist operators. konishi precision well. investigated. lambda conjecture coupling. propose valid cut. qualitative branch pages ancillary file
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42740369
10.1007/JHEP08(2016)062
We present a geometric approach to D-brane model building on the non-factorisable torus backgrounds of $T^6/\mathbb{Z}_4$, which are $A_3 \times A_3$ and $A_3 \times A_1 \times B_2$. Based on the counting of `short' supersymmetric three-cycles per complex structure {\it vev}, the number of physically inequivalent lattice orientations with respect to the anti-holomorphic involution ${\cal R}$ of the Type IIA/$\Omega\cal{R}$ orientifold can be reduced to three for the $A_3 \times A_3$ lattice and four for the $A_3 \times A_1 \times B_2$ lattice. While four independent three-cycles on $A_3 \times A_3$ cannot accommodate phenomenologically interesting global models with a chiral spectrum, the eight-dimensional space of three-cycles on $A_3 \times A_1 \times B_2$ is rich enough to provide for particle physics models, with several globally consistent two- and four-generation Pati-Salam models presented here. We further show that for fractional {\it sLag} three-cycles, the compact geometry can be rewritten in a $(T^2)^3$ factorised form, paving the way for a generalisation of known CFT methods to determine the vector-like spectrum and to derive the low-energy effective action for open string states.Comment: 50+Appendix, 10 figures; v2: references adde
Towards Geometric D6-Brane Model Building on non-Factorisable Toroidal $\mathbb{Z}_4$-Orbifolds
towards geometric d6-brane model building on non-factorisable toroidal $\mathbb{z}_4$-orbifolds
geometric brane factorisable torus backgrounds mathbb counting supersymmetric cycles physically inequivalent orientations holomorphic involution omega orientifold lattice. cycles accommodate phenomenologically chiral eight cycles globally pati salam here. fractional slag cycles rewritten factorised paving generalisation derive adde
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42705182
10.1007/JHEP08(2016)064
We provide general formulae for the topologically twisted index of a general three-dimensional ${\cal N}\geq 2$ gauge theory with an M-theory or massive type IIA dual in the large $N$ limit. The index is defined as the supersymmetric path integral of the theory on $S^2\times S^1$ in the presence of background magnetic fluxes for the R- and global symmetries and it is conjectured to reproduce the entropy of magnetically charged static BPS AdS$_4$ black holes. For a class of theories with an M-theory dual, we show that the logarithm of the index scales indeed as $N^{3/2}$ (and $N^{5/3}$ in the massive type IIA case). We find an intriguing relation with the (apparently unrelated) large $N$ limit of the partition function on $S^3$. We also provide a universal formula for extracting the index from the large $N$ partition function on $S^3$ and its derivatives and point out its analogy with the attractor mechanism for AdS black holes.Comment: 39 pages; v2: refs added; v3: typos remove
Large $N$ matrix models for 3d ${\cal N}=2$ theories: twisted index, free energy and black holes
large $n$ matrix models for 3d ${\cal n}=2$ theories: twisted index, free energy and black holes
formulae topologically twisted massive limit. supersymmetric fluxes symmetries conjectured reproduce magnetically holes. logarithm massive intriguing apparently unrelated partition universal extracting partition derivatives analogy attractor pages refs typos remove
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42645339
10.1007/JHEP08(2016)065
We consider a conformal complex singlet extension of the Standard Model with a Higgs portal interaction. The global $U(1)$ symmetry of the complex singlet can be either broken or unbroken and we study each scenario. In the unbroken case, the global $U(1)$ symmetry protects the complex singlet from decaying, leading to an ideal cold dark matter candidate with approximately 100 GeV mass along with a significant proportion of thermal relic dark matter abundance. In the broken case, we have developed a renormalization-scale optimization technique to significantly narrow the parameter space and in some situations, provide unique predictions for all the model's couplings and masses. We have found there exists a second Higgs boson with a mass of approximately $550\,\rm{GeV}$ that mixes with the known $125\,\rm{GeV}$ Higgs with a large mixing angle $\sin\theta\approx 0.47$ consistent with current experimental limits. The imaginary part of the complex singlet in the broken case could provide axion dark matter for a wide range of models. Upon including interactions of the complex scalar with an additional vector-like fermion, we explore the possibility of a diphoton excess in both the unbroken and the broken cases. In the unbroken case, the model can provide a natural explanation for diphoton excess if extra terms are introduced providing extra contributions to the singlet mass. In the broken case, we find a set of coupling solutions that yield a second Higgs boson of mass $720\,\rm{GeV}$ and an $830\,\rm{GeV}$ extra vector-like fermion $F$, which is able to address the $750\,\rm{GeV}$ LHC diphoton excess. We also provide criteria to determine the symmetry breaking pattern in both the Higgs and hidden sectors.Comment: 12 pages and 1 figure. Published in JHE
Conformal Complex Singlet Extension of the Standard Model: Scenario for Dark Matter and a Second Higgs Boson
conformal complex singlet extension of the standard model: scenario for dark matter and a second higgs boson
conformal singlet portal interaction. singlet broken unbroken scenario. unbroken protects singlet decaying ideal cold candidate proportion relic abundance. broken renormalization narrow situations couplings masses. boson mixes theta approx limits. imaginary singlet broken axion models. fermion explore diphoton excess unbroken broken cases. unbroken explanation diphoton excess extra extra singlet mass. broken boson extra fermion diphoton excess. breaking hidden pages figure.
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42692261
10.1007/JHEP08(2016)069
The infrared dynamics of $2+1$ dimensional quantum electrodynamics (QED$_3$) with a large number $N$ of fermion flavors is governed by an interacting CFT that can be studied in the $1/N$ expansion. We use the $1/N$ expansion to calculate the scaling dimensions of all the lowest three scalar operators that transform under the $SU(N)$ flavor symmetry as a Young diagram with two columns of not necessarily equal heights and that have vanishing topological charge. In the case of $SU(N)$ singlets, we study the mixing of $(\bar \psi_i \psi^i)(\bar \psi_j \psi^j)$ and $F_{\mu\nu} F^{\mu\nu}$, which are the lowest dimension parity-even singlets. Our results suggest that these operators are irrelevant for all $N>1$.Comment: 33 pages, 13 figures, v2 minor improvements, refs adde
Anomalous dimensions of scalar operators in $QED_3$
anomalous dimensions of scalar operators in $qed_3$
infrared electrodynamics fermion flavors governed interacting expansion. transform flavor columns necessarily heights vanishing topological charge. singlets parity singlets. irrelevant .comment pages minor improvements refs adde
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42705985
10.1007/JHEP08(2016)070
Using the F-theory realization, we identify a subclass of 6d (1,0) SCFTs whose compactification on a Riemann surface leads to N = 1 4d SCFTs where the moduli space of the Riemann surface is part of the moduli space of the theory. In particular we argue that for a special case of these theories (dual to M5 branes probing ADE singularities), we obtain 4d N = 1 theories whose space of marginal deformations is given by the moduli space of flat ADE connections on a Riemann surface.Comment: v2: added an exampl
F-Theory and N=1 SCFTs in Four Dimensions
f-theory and n=1 scfts in four dimensions
realization subclass scfts compactification riemann scfts moduli riemann moduli theory. argue branes probing singularities marginal deformations moduli connections riemann exampl
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42731176
10.1007/JHEP08(2016)071
Imposing infrared boundary conditions on the BFKL equation with running coupling transforms the complex momentum w-plane cut present in the gluon Green function into an infinite series of positive Regge poles. In addition, a cut on the negative w line remains. We consider a Hermitian kernel at leading order with running coupling and construct the gluon Green function performing the w integration away from the real axis. We find a strong dependence of the asymptotic intercepts and collinear behaviour on the non-perturbative choice of the boundary conditions, in the form of an infrared phase. This is particularly manifest in the asymmetric infrared/ultraviolet structure of the associated diffusion in transverse momentum. We find that random walks into the infrared region are largely reduced in this approach.Comment: 15 pages, 11 figure
The Effect of the Infrared Phase of the Discrete BFKL Pomeron on Transverse Momentum Diffusion
the effect of the infrared phase of the discrete bfkl pomeron on transverse momentum diffusion
imposing infrared bfkl running transforms gluon infinite regge poles. remains. hermitian kernel running gluon performing away axis. asymptotic intercepts collinear perturbative infrared phase. manifest asymmetric infrared ultraviolet momentum. walks infrared largely pages
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42737825
10.1007/JHEP08(2016)075
In this paper we give an explicit construction of unfolded equations for massive higher spin supermultiplets of the minimal (1,0) supersymmetry in AdS_3 space. For that purpose we use an unfolded formulation for massive bosonic and fermionic higher spins and find supertransformations leaving appropriate set of unfolded equations invariant. We provide two general supermultiplets (s, s+1/2) and (s, s-1/2) with arbitrary integer s, as well as a number of lower spin examples.Comment: 20 pages, no figures. Some comments and references added; v3: typos correcte
Unfolded equations for massive higher spin supermultiplets in AdS_3
unfolded equations for massive higher spin supermultiplets in ads_3
unfolded massive supermultiplets supersymmetry space. unfolded formulation massive bosonic fermionic spins supertransformations leaving unfolded invariant. supermultiplets integer pages figures. comments typos correcte
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42669948
10.1007/JHEP08(2016)076
We review the mathematical tools required to cull and filter representations of the Coxeter Group $BC_4$ into providing bases for the construction of minimal off-shell representations of the 4D, $ {\cal N}$ = 1 spacetime supersymmetry algebra. Of necessity this includes a description of the mathematical mechanism by which four dimensional Lorentz symmetry appears as an emergent symmetry in the context of one dimensional adinkras with four colors described by the Coxeter Group $BC_4$.Comment: LaTeX twice, 1 figure, 11 ppg, (update includes comment on number of acceptable four-color adinkras
A Proposal On Culling & Filtering A Coxeter Group For 4D, N = 1 Spacetime SUSY Representations
a proposal on culling & filtering a coxeter group for 4d, n = 1 spacetime susy representations
mathematical cull filter representations coxeter bases representations spacetime supersymmetry algebra. necessity mathematical lorentz emergent adinkras colors coxeter .comment latex twice update comment acceptable adinkras
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42702689
10.1007/JHEP08(2016)077
In this paper we analyze three quantum operations in two dimensional conformal field theories (CFTs): local projection measurements, creations of partial entanglement between two CFTs, and swapping of subsystems between two CFTs. We also give their holographic duals and study time evolutions of entanglement entropy. By combining these operations, we present an analogue of quantum teleportation between two CFTs and give its holographic realization. We introduce a new quantity to probe tripartite entanglement by using local projection measurement.Comment: 61 pages, 24 figures. v2: comments and refs added. v3: minor correction
EPR Pairs, Local Projections and Quantum Teleportation in Holography
epr pairs, local projections and quantum teleportation in holography
analyze operations conformal cfts projection creations entanglement cfts swapping subsystems cfts. holographic duals evolutions entanglement entropy. combining operations analogue teleportation cfts holographic realization. quantity tripartite entanglement projection pages figures. comments refs added. minor
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42730016
10.1007/JHEP08(2016)079
We consider the contribution of sterile neutrinos to the electric dipole moment of charged leptons in the most minimal realisation of the Inverse Seesaw mechanism, in which the Standard Model is extended by two right-handed neutrinos and two sterile fermion states. Our study shows that the two pairs of (heavy) pseudo-Dirac mass eigenstates can give significant contributions to the electron electric dipole moment, lying close to future experimental sensitivity if their masses are above the electroweak scale. The major contribution comes from two-loop diagrams with pseudo-Dirac neutrino states running in the loops. In our analysis we further discuss the possibility of having a successful leptogenesis in this framework, compatible with a large electron electric dipole moment.Comment: 19 pages, 4 figures, minor changes, one appendix added, version accepted in JHE
Electron electric dipole moment in Inverse Seesaw models
electron electric dipole moment in inverse seesaw models
sterile neutrinos dipole moment leptons realisation seesaw handed neutrinos sterile fermion states. pseudo dirac eigenstates dipole moment lying electroweak scale. comes diagrams pseudo dirac running loops. successful leptogenesis compatible dipole pages minor
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25015406
10.1007/JHEP08(2016)080
We study gravity duals to a broad class of N=2 supersymmetric gauge theories defined on a general class of three-manifold geometries. The gravity backgrounds are based on Euclidean self-dual solutions to four-dimensional gauged supergravity. As well as constructing new examples, we prove in general that for solutions defined on the four-ball the gravitational free energy depends only on the supersymmetric Killing vector, finding a simple closed formula when the solution has U(1) x U(1) symmetry. Our result agrees with the large N limit of the free energy of the dual gauge theory, computed using localization. This constitutes an exact check of the gauge/gravity correspondence for a very broad class of gauge theories with a large N limit, defined on a general class of background three-manifold geometries.Comment: 74 pages, 2 figures; v2: minor change
Gravity duals of supersymmetric gauge theories on three-manifolds
gravity duals of supersymmetric gauge theories on three-manifolds
duals broad supersymmetric manifold geometries. backgrounds euclidean gauged supergravity. constructing ball gravitational supersymmetric killing symmetry. agrees localization. constitutes check correspondence broad manifold pages minor
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42673891
10.1007/JHEP08(2016)081
We first propose and study a quantum toy model of black hole dynamics. The model is unitary, displays quantum thermalization, and the Hamiltonian couples every oscillator with every other, a feature intended to emulate the color sector physics of large-$\mathcal{N}$ matrix models. Considering out of equilibrium initial states, we analytically compute the time evolution of every correlator of the theory and of the entanglement entropies, allowing a proper discussion of global thermalization/scrambling of information through the entire system. Microscopic non-locality causes factorization of reduced density matrices, and entanglement just depends on the time evolution of occupation densities. In the second part of the article, we show how the gained intuition extends to large-$\mathcal{N}$ matrix models, where we provide a gauge invariant entanglement entropy for `generalized free fields', again depending solely on the quasinormal frequencies. The results challenge the fast scrambling conjecture and point to a natural scenario for the emergence of the so-called brick wall or stretched horizon. Finally, peculiarities of these models in regards to the thermodynamic limit and the information paradox are highlighted.Comment: Journal versio
Black holes as random particles: entanglement dynamics in infinite range and matrix models
black holes as random particles: entanglement dynamics in infinite range and matrix models
propose dynamics. unitary displays thermalization couples oscillator intended emulate mathcal models. analytically correlator entanglement entropies allowing proper thermalization scrambling system. microscopic locality factorization entanglement occupation densities. gained intuition extends mathcal entanglement solely quasinormal frequencies. challenge scrambling conjecture emergence brick stretched horizon. peculiarities regards thermodynamic paradox versio
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42740713
10.1007/JHEP08(2016)082
We make a complete one loop calculation of the $tbW$ couplings in the Two Higgs Doublet Model. We evaluate both the anomalous couplings $g_L$ and $g_R$ as well as left handed and right handed component of $tbW$. The computation is done in the Feynman gauge using the on-shell scheme renormalization for the Standard Model wave functions and parameters. We first show that the relative corrections to these anomalous couplings are rather small in most regions of the parameter space. We then analyze the effects of these anomalous couplings on certain observables such as top quark polarization in single top production through $t-$channel as well as $W^\pm$ boson helicity fractions in top decay.Comment: 30 pages, 7 figures and 6 table
$tbW$ Anomalous Couplings in the Two Higgs Doublet Model
$tbw$ anomalous couplings in the two higgs doublet model
couplings doublet model. anomalous couplings handed handed feynman renormalization parameters. anomalous couplings space. analyze anomalous couplings observables boson helicity fractions pages
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42738636
10.1007/JHEP08(2016)083
The high-energy evolution of Wilson line operators, which at leading order is described by the Balitsky-JIMWLK equations, receives large radiative corrections enhanced by single and double collinear logarithms at next-to-leading order and beyond. We propose a method for resumming such logarithmic corrections to all orders, at the level of the Langevin formulation of the JIMWLK equation. The ensuing, collinearly-improved Langevin equation features generalized Wilson line operators, which depend not only upon rapidity (the logarithm of the longitudinal momentum), but also upon the transverse size of the color neutral projectile to which the Wilson lines belong. This additional scale dependence is built up during the evolution, via the condition that the successive emissions of soft gluons be ordered in time. The presence of this transverse scale in the Langevin equation furthermore allows for the resummation of the one-loop running coupling corrections.Comment: 24 pages, 1 figur
Collinearly improved JIMWLK evolution in Langevin form
collinearly improved jimwlk evolution in langevin form
wilson balitsky jimwlk receives radiative collinear logarithms beyond. propose resumming logarithmic orders langevin formulation jimwlk equation. ensuing collinearly langevin wilson rapidity logarithm longitudinal neutral projectile wilson belong. built successive gluons ordered time. langevin resummation running pages figur
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42731070
10.1007/JHEP08(2016)084
For general N=5 and N=6 superconformal field theories in three dimensions, we compute the three-point correlation functions of the supercurrent multiplets. In each case, N=5 and N=6, the functional form of this correlator is uniquely fixed modulo an overall coefficient which is related, by superconformal Ward identities, to the parameter in the two-point function of the supercurrent. The structure of the correlation functions obtained is consistent with the property that every N=5 superconformal field theory, considered as a special N=4 theory, is invariant under the mirror map.Comment: 25 page
Implications of N=5, 6 superconformal symmetry in three spacetime dimensions
implications of n=5, 6 superconformal symmetry in three spacetime dimensions
superconformal supercurrent multiplets. correlator uniquely modulo superconformal ward identities supercurrent. superconformal mirror
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42740682
10.1007/JHEP08(2016)085
The Dirac Hamiltonian formalism is applied to a system in $(2+1)$-dimensions consisting of a Dirac field $\psi$ minimally coupled to Chern-Simons $U(1)$ and $SO(2,1)$ connections, $A$ and $\omega$, respectively. This theory is connected to a supersymmetric Chern-Simons form in which the gravitino has been projected out (unconventional supersymmetry) and, in the case of a flat background, corresponds to the low energy limit of graphene. The separation between first-class and second-class constraints is performed explicitly, and both the field equations and gauge symmetries of the Lagrangian formalism are fully recovered. The degrees of freedom of the theory in generic sectors shows that the propagating states correspond to fermionic modes in the background determined by the geometry of the graphene sheet and the nondynamical electromagnetic field. This is shown for the following canonical sectors: i) a conformally invariant generic description where the spinor field and the dreibein are locally rescaled; ii) a specific configuration for the Dirac fermion consistent with its spin, where Weyl symmetry is exchanged by time reparametrizations; iii) the vacuum sector $\psi=0$, which is of interest for perturbation theory. For the latter the analysis is adapted to the case of manifolds with boundary, and the corresponding Dirac brackets together with the centrally extended charge algebra are found. Finally, the $SU(2)$ generalization of the gauge group is briefly treated, yielding analogous conclusions for the degrees of freedom.Comment: 17 pages. Accepted version for publication in JHE
Dynamical Contents of Unconventional Supersymmetry
dynamical contents of unconventional supersymmetry
dirac formalism consisting dirac minimally chern simons connections omega respectively. supersymmetric chern simons gravitino projected unconventional supersymmetry graphene. explicitly symmetries lagrangian formalism recovered. freedom generic sectors propagating fermionic graphene sheet nondynamical electromagnetic field. canonical sectors conformally generic spinor dreibein locally rescaled dirac fermion weyl exchanged reparametrizations perturbation theory. adapted manifolds dirac brackets centrally found. generalization briefly yielding analogous pages. publication
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42671861
10.1007/JHEP08(2016)087
We introduce a new perspective and a generalization of spectral networks for 4d $\mathcal{N}=2$ theories of class $\mathcal{S}$ associated to Lie algebras $\mathfrak{g} = \textrm{A}_n$, $\textrm{D}_n$, $\textrm{E}_{6}$, and $\textrm{E}_{7}$. Spectral networks directly compute the BPS spectra of 2d theories on surface defects coupled to the 4d theories. A Lie algebraic interpretation of these spectra emerges naturally from our construction, leading to a new description of 2d-4d wall-crossing phenomena. Our construction also provides an efficient framework for the study of BPS spectra of the 4d theories. In addition, we consider novel types of surface defects associated with minuscule representations of $\mathfrak{g}$.Comment: 68 pages plus appendices; visit http://het-math2.physics.rutgers.edu/loom/ to use 'loom,' a program that generates spectral networks; v2: version published in JHEP plus minor correction
ADE Spectral Networks
ade spectral networks
perspective generalization mathcal mathcal algebras mathfrak textrm textrm textrm textrm defects theories. algebraic emerges naturally crossing phenomena. theories. defects minuscule representations mathfrak .comment pages appendices visit loom generates jhep minor
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42699578
10.1007/JHEP08(2016)088
The AdS/CFT correspondence relates Wilson loops in N=4 SYM to minimal area surfaces in $AdS_5\times S^5$ space. Recently, a new approach to study minimal area surfaces in $AdS_3 \subset AdS_5$ was discussed based on a Schroedinger equation with a periodic potential determined by the Schwarzian derivative of the shape of the Wilson loop. Here we use the Mathieu equation, a standard example of a periodic potential, to obtain a class of Wilson loops such that the area of the dual minimal area surface can be computed analytically in terms of eigenvalues of such equation. As opposed to previous examples, these minimal surfaces have an umbilical point (where the principal curvatures are equal) and are invariant under $\lambda$-deformations. In various limits they reduce to the single and multiple wound circular Wilson loop and to the regular light-like polygons studied by Alday and Maldacena. In this last limit, the periodic potential becomes a series of deep wells each related to a light-like segment. Small corrections are described by a tight--binding approximation. In the circular limit they are well approximated by an expansion developed by A.Dekel. In the particular case of no umbilical points they reduce to a previous solution proposed by J. Toledo. The construction works both in Euclidean and Minkowski signature of $AdS_3$.Comment: 32 pages, 3 figure, LaTeX. Version2: References adde
Minimal area surfaces dual to Wilson loops and the Mathieu equation
minimal area surfaces dual to wilson loops and the mathieu equation
correspondence relates wilson loops space. schroedinger schwarzian wilson loop. mathieu wilson loops analytically eigenvalues equation. opposed umbilical principal curvatures lambda deformations. wound circular wilson polygons alday maldacena. wells segment. tight approximation. circular approximated kel. umbilical toledo. euclidean minkowski signature .comment pages latex. adde
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42705685
10.1007/JHEP08(2016)089
In this paper, we calculate the topological free energy for a number of ${\mathcal N} \geq 2$ Yang-Mills-Chern-Simons-matter theories at large $N$ and fixed Chern-Simons levels. The topological free energy is defined as the logarithm of the partition function of the theory on $S^2 \times S^1$ with a topological A-twist along $S^2$ and can be reduced to a matrix integral by exploiting the localization technique. The theories of our interest are dual to a variety of Calabi-Yau four-fold singularities, including a product of two asymptotically locally Euclidean singularities and the cone over various well-known homogeneous Sasaki-Einstein seven-manifolds, $N^{0,1,0}$, $V^{5,2}$, and $Q^{1,1,1}$. We check that the large $N$ topological free energy can be matched for theories which are related by dualities, including mirror symmetry and $\mathrm{SL}(2,\mathbb{Z})$ duality.Comment: 34 pages, v2: refs added, improvement of section 5.1, published version; v3: typos remove
Large $N$ topologically twisted index: necklace quivers, dualities, and Sasaki-Einstein spaces
large $n$ topologically twisted index: necklace quivers, dualities, and sasaki-einstein spaces
topological mathcal mills chern simons chern simons levels. topological logarithm partition topological twist exploiting localization technique. calabi singularities asymptotically locally euclidean singularities cone homogeneous sasaki einstein seven manifolds check topological matched dualities mirror mathrm mathbb pages refs typos remove
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42744330
10.1007/JHEP08(2016)090
We simultaneously investigate source, detector and matter non-standard neutrino interactions at the proposed DUNE experiment. Our analysis is performed using a Markov Chain Monte Carlo exploring the full parameter space. We find that the sensitivity of DUNE to the standard oscillation parameters is worsened due to the presence of non-standard neutrino interactions. In particular, there are degenerate solutions in the leptonic mixing angle $\theta_{23}$ and the Dirac CP-violating phase $\delta$. We also compute the expected sensitivities at DUNE to the non-standard interaction parameters. We find that the sensitivities to the matter non-standard interaction parameters are substantially stronger than the current bounds (up to a factor of about 15). Furthermore, we discuss correlations between the source/detector and matter non-standard interaction parameters and find a degenerate solution in $\theta_{23}$. Finally, we explore the effect of statistics on our results.Comment: 21 pages, 7 figures. Version accepted for publication in JHE
A combined study of source, detector and matter non-standard neutrino interactions at DUNE
a combined study of source, detector and matter non-standard neutrino interactions at dune
simultaneously dune experiment. markov monte carlo exploring space. dune oscillation worsened interactions. degenerate leptonic theta dirac violating delta sensitivities dune parameters. sensitivities substantially stronger bounds degenerate theta explore pages figures. publication
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42740966
10.1007/JHEP08(2016)091
The standard theoretical framework to deal with weak decays of heavy mesons is the so-called weak effective Hamiltonian. It involves the short-distance Wilson coefficients, which depend on the renormalisation scale $\mu$. For specific calculations one has to evolve the Wilson coefficients down from the electroweak scale $\mu=M_W$ to the typical mass scale of the decay under consideration. This is done by solving a renormalisation group equation for the effective operator basis. In this paper the results of a consistent two-step running of the $c \to u \,\ell^+\ell^-$ Wilson coefficients for dimension-6 operators are presented. This running involves the intermediate scale $\mu=m_b$ (with $M_W > m_b > m_c$) where the bottom quark is integrated out. The matching coefficients and anomalous dimensions are taken to the required order by generalizing and extending results from $b \to s$ or $s \to d$ transitions available in the literature.Comment: 13 pages, 1 figur
Higher-order Wilson coefficients for c $\to$ u transitions in the Standard Model
higher-order wilson coefficients for c $\to$ u transitions in the standard model
deal decays mesons hamiltonian. involves wilson renormalisation evolve wilson electroweak consideration. solving renormalisation basis. running wilson presented. running involves out. matching anomalous generalizing extending pages figur
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42736296
10.1007/JHEP08(2016)092
We show that already at the NLO level the DGLAP evolution kernel Pqq starts to depend on the choice of the evolution variable. We give an explicit example of such a variable, namely the maximum of transverse momenta of emitted partons and we identify a class of evolution variables that leave the NLO Pqq kernel unchanged with respect to the known standard MS-bar results. The kernels are calculated using a modified Curci-Furmanski-Petronzio method which is based on a direct Feynman-graphs calculation.Comment: 16 pages, 4 figure
On the dependence of QCD splitting functions on the choice of the evolution variable
on the dependence of qcd splitting functions on the choice of the evolution variable
dglap kernel starts variable. momenta emitted partons leave kernel unchanged results. kernels curci furmanski petronzio feynman pages
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42699272
10.1007/JHEP08(2016)093
One of the open problems in understanding (0,2) mirror symmetry concerns the construction of Toda-like Landau-Ginzburg mirrors to (0,2) theories on Fano spaces. In this paper, we begin to fill this gap by making an ansatz for (0,2) Toda-like theories mirror to (0,2) supersymmetric nonlinear sigma models on products of projective spaces, with deformations of the tangent bundle, generalizing a special case previously worked out for P1xP1. We check this ansatz by matching correlation functions of the B/2-twisted Toda-like theories to correlation functions of corresponding A/2-twisted nonlinear sigma models, computed primarily using localization techniques. These (0,2) Landau-Ginzburg models admit redundancies, which can lend themselves to multiple distinct-looking representatives of the same physics, which we discuss.Comment: 35 pages, LaTeX; v2: typos fixed; v3: more typos fixe
Toda-like (0,2) mirrors to products of projective spaces
toda-like (0,2) mirrors to products of projective spaces
mirror concerns toda landau ginzburg mirrors fano spaces. begin fill ansatz toda mirror supersymmetric sigma projective deformations tangent bundle generalizing worked check ansatz matching twisted toda twisted sigma primarily localization techniques. landau ginzburg admit redundancies lend looking representatives pages latex typos typos fixe
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42738332
10.1007/JHEP08(2016)094
In this paper, we revisit a scale-invariant extension of the standard model (SM) with a strongly interacting hidden sector within AdS/QCD approach. Using the AdS/QCD, we reduce the number of input parameters to three, {\it i.e.} hidden pion decay constant, hidden pion mass and $\tan\beta$ that is defined as the ratio of the vacuum expectation values (VEV) of the singlet scalar field and the SM Higgs boson. As a result, our model has sharp predictability. We perform the phenomenological analysis of the hidden pions which is one of the dark matter (DM) candidates in this model. With various theoretical and experimental constraints we search for the allowed parameter space and find that both resonance and non-resonance solutions are possible. Some typical correlations among various observables such as thermal relic density of hidden pions, Higgs boson signal strengths and DM-nucleon cross section are investigated. We provide some benchmark points for experimental tests.Comment: minor corrections, version appeared in JHE
AdS/QCD approach to the scale-invariant extension of the standard model with a strongly interacting hidden sector
ads/qcd approach to the scale-invariant extension of the standard model with a strongly interacting hidden sector
revisit interacting hidden approach. i.e. hidden pion hidden pion beta expectation singlet boson. sharp predictability. phenomenological hidden pions candidates model. possible. observables relic hidden pions boson strengths nucleon investigated. benchmark minor appeared
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42738974
10.1007/JHEP08(2016)096
We consider a RG flow in a general su(2) coset model induced by the least relevant field. This is done using two different approaches. We first compute the mixing coefficients of certain fields in the UV and IR theories using a conformal perturbation theory. The necessary structure constants are computed. The same coefficients can be calculated using the RG domain wall construction of Gaiotto. We compute the corresponding one-point functions and show that the two approaches give the same result in the leading order.Comment: 19 pages, references added. arXiv admin note: text overlap with arXiv:1606.0432
RG Domain Wall for the General su(2) Coset Models
rg domain wall for the general su(2) coset models
coset field. approaches. conformal perturbation theory. computed. gaiotto. pages added. admin overlap
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42674839
10.1007/JHEP08(2016)097
We develop the representation of infalling observers and bulk fields in the CFT as a way to understand the black hole interior in AdS. We first discuss properties of CFT states which are dual to black holes. We then show that in the presence of a Killing horizon bulk fields can be decomposed into pieces we call ingoing and outgoing. The ingoing field admits a simple operator representation in the CFT, even inside a small black hole at late times, which leads to a simple CFT description of infalling geodesics. This means classical infalling observers will experience the classical geometry in the interior. The outgoing piece of the field is more subtle. In an eternal two-sided geometry it can be represented as an operator on the left CFT. In a stable one-sided geometry it can be described using entanglement via the PR construction. But in an evaporating black hole trans-horizon entanglement breaks down at the Page time, which means that for old black holes the PR construction fails and the outgoing field does not see local geometry. This picture of the interior allows the CFT to reconcile unitary Hawking evaporation with the classical experience of infalling observers.Comment: 48 pages, LaTeX, 8 figures. v2: minor edits, additional reference. v3: version to appear in JHE
Asymmetric interiors for small black holes
asymmetric interiors for small black holes
infalling observers interior ads. holes. killing horizon decomposed pieces call ingoing outgoing. ingoing admits infalling geodesics. infalling observers interior. outgoing piece subtle. eternal sided cft. sided entanglement construction. evaporating horizon entanglement breaks holes fails outgoing geometry. picture interior reconcile unitary hawking evaporation infalling pages latex figures. minor edits reference.
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29520484
10.1007/JHEP08(2016)098
We present $B_q\to\rho$, $B_q\to\omega$, $B_q\to K^*$, $B_s\to K^*$ and $B_s\to \phi$ form factors from light-cone sum rules (LCSR) at $\mathcal{O}(\alpha_s)$ for twist-2 and 3 and $\mathcal{O}(\alpha_s^0)$ for twist-4 with updated hadronic input parameters. Three asymptotic light-cone distribution amplitudes of twist-$4$ (and $5$) are determined, necessary for the form factors to obey the equations of motion. It is argued that the latter constrain the uncertainty of tensor-to-vector form factor ratios thereby improving the prediction of zeros of helicity amplitudes of major importance for $B\to K^*\ell\ell$ angular observables. We provide easy-to-use fits to the LCSR results, including the full error correlation matrix, in all modes at low $q^2$ as well as combined fits to LCSR and lattice results covering the entire kinematic range for $B_q\to K^*$, $B_s\to K^*$ and $B_s\to \phi$. The error correlation matrix avoids the problem of overestimating the uncertainty in phenomenological applications. Using the new form factors and recent computations of non-factorisable contributions we provide Standard Model predictions for $B\to K^*\gamma$ as well as $B\to K^*\ell^+\ell^-$ and $B_s\to\phi\mu^+\mu^-$ at low dilepton invariant mass. Employing our $B \to (\rho,\omega) $ form factor results we extract the CKM element $|V_\mathrm{ub}|$ from the semileptonic decays $B\to(\rho,\omega) \ell\nu$ and find good agreement with other exclusive determinations.Comment: 64 pages, 7 figures, 15 tables. v3: Minor clarifications, numerics unchanged. Matches version published in JHE
$B\to V\ell^+\ell^-$ in the Standard Model from Light-Cone Sum Rules
$b\to v\ell^+\ell^-$ in the standard model from light-cone sum rules
omega cone lcsr mathcal alpha twist mathcal alpha twist updated hadronic parameters. asymptotic cone amplitudes twist obey motion. argued constrain thereby improving zeros helicity amplitudes observables. fits lcsr fits lcsr covering kinematic avoids overestimating phenomenological applications. computations factorisable gamma dilepton mass. employing omega extract mathrm semileptonic decays omega exclusive pages tables. minor clarifications numerics unchanged. matches
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42681368
10.1007/JHEP08(2016)100
The relaxion mechanism is a novel solution to the hierarchy problem. In this first statistical analysis of the relaxion mechanism, we quantify the relative plausibility of a QCD and a non-QCD relaxion model versus the Standard Model with Bayesian statistics, which includes an automatic penalty for fine-tuning. We find that in light of the hierarchy between the weak and Planck scales, relaxion models are favoured by colossal Bayes-factors. Constraints upon \eg the vacuum energy during relaxation, however, shrink the Bayes-factors such that relaxion models are only slightly favoured. Including the bounds on $\left|\theta_\text{QCD}\right|$ shatters the plausibility of the QCD relaxion model as it typically yields $\left|\theta_\text{QCD}\right| \gg 0$. Finally, we augment our models with scalar-field inflation and consider measurements of inflationary observables from BICEP/Planck. We find that, all told, the Standard Model is favoured by huge Bayes-factors as the relaxion models require fine-tuning such that the Hubble parameter is less than the height of the periodic barriers. Thus, whilst we confirm that relaxion models could solve the hierarchy problem, we find that their unconventional cosmology demolishes their plausibility
Naturalness of the relaxion mechanism
naturalness of the relaxion mechanism
relaxion hierarchy problem. relaxion quantify plausibility relaxion bayesian automatic penalty fine tuning. hierarchy planck relaxion favoured colossal bayes factors. relaxation shrink bayes relaxion favoured. bounds theta shatters plausibility relaxion theta augment inflation inflationary observables bicep planck. told favoured huge bayes relaxion fine tuning hubble barriers. whilst confirm relaxion solve hierarchy unconventional cosmology demolishes plausibility
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42722610
10.1007/JHEP08(2016)101
The $S$-matrix of a quantum field theory is unchanged by field redefinitions, and so only depends on geometric quantities such as the curvature of field space. Whether the Higgs multiplet transforms linearly or non-linearly under electroweak symmetry is a subtle question since one can make a coordinate change to convert a field that transforms linearly into one that transforms non-linearly. Renormalizability of the Standard Model (SM) does not depend on the choice of scalar fields or whether the scalar fields transform linearly or non-linearly under the gauge group, but only on the geometric requirement that the scalar field manifold ${\mathcal M}$ is flat. We explicitly compute the one-loop correction to scalar scattering in the SM written in non-linear Callan-Coleman-Wess-Zumino (CCWZ) form, where it has an infinite series of higher dimensional operators, and show that the $S$-matrix is finite. Standard Model Effective Field Theory (SMEFT) and Higgs Effective Field Theory (HEFT) have curved ${\mathcal M}$, since they parametrize deviations from the flat SM case. We show that the HEFT Lagrangian can be written in SMEFT form if and only if ${\cal M}$ has a $SU(2)_L \times U(1)_Y$ invariant fixed point. Experimental observables in HEFT depend on local geometric invariants of ${\mathcal M}$ such as sectional curvatures, which are of order $1/\Lambda^2$, where $\Lambda$ is the EFT scale. We give explicit expressions for these quantities in terms of the structure constants for a general $\mathcal G \to \mathcal H$ symmetry breaking pattern. (Full abstract in pdf
Geometry of the Scalar Sector
geometry of the scalar sector
unchanged redefinitions geometric quantities curvature space. multiplet transforms linearly linearly electroweak subtle coordinate convert transforms linearly transforms linearly. renormalizability transform linearly linearly geometric requirement manifold mathcal flat. explicitly callan coleman wess zumino ccwz infinite finite. smeft heft curved mathcal parametrize deviations case. heft lagrangian smeft point. observables heft geometric invariants mathcal sectional curvatures lambda lambda scale. expressions quantities mathcal mathcal breaking pattern.
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42696242
10.1007/JHEP08(2016)105
We consider the inclusive production of a Higgs boson in gluon-fusion and we study the impact of threshold resummation at next-to-next-to-next-to-leading logarithmic accuracy (N$^3$LL) on the recently computed fixed-order prediction at next-to-next-to-next-to-leading order (N$^3$LO). We propose a conservative, yet robust way of estimating the perturbative uncertainty from missing higher (fixed- or logarithmic-) orders. We compare our results with two other different methods of estimating the uncertainty from missing higher orders: the Cacciari-Houdeau Bayesian approach to theory errors, and the use of algorithms to accelerate the convergence of the perturbative series. We confirm that the best convergence happens at $\mu_R=\mu_F=m_H\,/\,2$, and we conclude that a reliable estimate of the uncertainty from missing higher orders on the Higgs cross section at 13 TeV is approximately $\pm4$%.Comment: 27 pages, 6 figures. Version to be published in JHE
On the Higgs cross section at N$^3$LO+N$^3$LL and its uncertainty
on the higgs cross section at n$^3$lo+n$^3$ll and its uncertainty
inclusive boson gluon fusion resummation logarithmic propose conservative robust estimating perturbative missing logarithmic orders. estimating missing orders cacciari houdeau bayesian accelerate perturbative series. confirm happens reliable missing orders .comment pages figures.
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42727728
10.1007/JHEP08(2016)107
We investigate compactifications of type II and M-theory down to $AdS_5$ with generic fluxes that preserve eight supercharges, in the framework of Exceptional Generalized Geometry. The geometric data and gauge fields on the internal manifold are encoded in a pair of generalized structures corresponding to the vector and hyper-multiplets of the reduced five-dimensional supergravity. Supersymmetry translates into integrability conditions for these structures, generalizing, in the case of type IIB, the Sasaki-Einstein conditions. We show that the ten and eleven-dimensional type IIB and M-theory Killing-spinor equations specialized to a warped $AdS_5$ background imply the generalized integrability conditions.Comment: 38 page
Generalized geometric vacua with eight supercharges
generalized geometric vacua with eight supercharges
compactifications generic fluxes preserve eight supercharges exceptional geometry. geometric manifold encoded hyper multiplets supergravity. supersymmetry translates integrability generalizing sasaki einstein conditions. eleven killing spinor specialized warped imply integrability
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42669139
10.1007/JHEP08(2016)108
In this work, we calculate the branching ratios for the $\eta(\eta')\rightarrow\bar{\ell}\ell$ decays, where $\ell = e,\mu$. These processes have tiny rates in the standard model due to spin flip, loop, and electromagnetic suppression, for what they could be sensitive to New Physics effects. In order to provide a reliable input for the Standard Model, we exploit the general analytical properties of the amplitude. For that purpose, we invoke the machinery of Canterbury approximants, which provides a systematic description of the underlying hadronic physics in a data-driven fashion. Given the current experimental discrepancies, we discuss in detail the role of the resonant region and comment on the reliability of $\chi$PT calculations. Finally, we discuss the kind of new physics which we think would be relevant to account for them.Comment: 35 pages, 18 figures. V2 matches the published versio
$\eta$ and $\eta'$ decays into lepton pairs
$\eta$ and $\eta'$ decays into lepton pairs
branching rightarrow decays tiny flip electromagnetic suppression effects. reliable exploit amplitude. invoke machinery canterbury approximants hadronic fashion. discrepancies resonant comment reliability calculations. kind think pages figures. matches versio
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42691416
10.1007/JHEP08(2016)109
Higgs portal dark matter (DM) models are simple interesting and viable DM models. There are three types of the models depending on the DM spin: scalar, fermion and vector DM models. In this paper, we consider renormalizable, unitary and gauge invariant Higgs portal DM models, and study how large parameter regions can be surveyed at the International Linear Collider (ILC) experiment at $\sqrt{s}=500$ GeV. For the Higgs portal singlet fermion and vector DM cases, the force mediator involves two scalar propagators, the SM-like Higgs boson and the dark Higgs boson. We show that their interference generates interesting and important patterns in the mono-$Z$ plus missing $E_T$ signatures at the ILC, and the results are completely different from those obtained from the Higgs portal DM models within the effective field theories. In addition, we show that it would be possible to distinguish the spin of DM in the Higgs portal scenarios, if the shape of the recoil-mass distribution is observed. We emphasize that the interplay between these collider observations and those in the direct detection experiments has to be performed in the model with renomalizability and unitarity to combine the model analyses in different scales.Comment: 25 pages, 15 figures; minor changes, references added; discussions added, numbers in Table 1 correcte
Search for Higgs portal DM at the ILC
search for higgs portal dm at the ilc
portal viable models. fermion models. renormalizable unitary portal surveyed collider sqrt gev. portal singlet fermion mediator involves propagators boson boson. interference generates mono missing signatures portal theories. distinguish portal scenarios recoil observed. emphasize interplay collider renomalizability unitarity combine pages minor discussions correcte
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42727576
10.1007/JHEP08(2016)110
We study moduli stabilization for type IIB orientifolds compactified on Calabi-Yau threefolds in the region close to conifold singularities in the complex structure moduli space. The form of the periods implies new phenomena like exponential mass hierarchies even in the regime of negligible warping. Integrating out the heavy conic complex structure modulus leads to an effective flux induced potential for the axio-dilaton and the remaining complex structure moduli containing exponentially suppressed terms that imitate non-perturbative effects. It is shown that this scenario can be naturally combined with the large volume scenario so that all moduli are dynamically stabilized in the dilute flux regime. As an application of this moduli stabilization scheme, a string inspired model of aligned inflation is designed that features a parametrically controlled hierarchy of mass scales.Comment: 33 pages, 4 figures, v2: final versio
String Moduli Stabilization at the Conifold
string moduli stabilization at the conifold
moduli stabilization orientifolds compactified calabi threefolds conifold singularities moduli space. phenomena exponential hierarchies negligible warping. integrating conic modulus axio dilaton moduli exponentially suppressed imitate perturbative effects. naturally moduli dynamically stabilized dilute regime. moduli stabilization inspired aligned inflation parametrically hierarchy pages versio
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42725043
10.1007/JHEP08(2016)111
We study direct detection in simplified models of Dark Matter (DM) in which interactions with Standard Model (SM) fermions are mediated by a heavy vector boson. We consider fully general, gauge-invariant couplings between the SM, the mediator and both scalar and fermion DM. We account for the evolution of the couplings between the energy scale of the mediator mass and the nuclear energy scale. This running arises from virtual effects of SM particles and its inclusion is not optional. We compare bounds on the mediator mass from direct detection experiments with and without accounting for the running. In some cases the inclusion of these effects changes the bounds by several orders of magnitude, as a consequence of operator mixing which generates new interactions at low energy. We also highlight the importance of these effects when translating LHC limits on the mediator mass into bounds on the direct detection cross section. For an axial-vector mediator, the running can alter the derived bounds on the spin-dependent DM-nucleon cross section by a factor of two or more. Finally, we provide tools to facilitate the inclusion of these effects in future studies: general approximate expressions for the low energy couplings and a public code runDM to evolve the couplings between arbitrary energy scales.Comment: 26 pages + appendices, 9 + 2 figures. The runDM code is available at https://github.com/bradkav/runDM/. v2: references added, version published in JHE
You can hide but you have to run: direct detection with vector mediators
you can hide but you have to run: direct detection with vector mediators
simplified fermions boson. couplings mediator fermion couplings mediator scale. running arises virtual inclusion optional. bounds mediator accounting running. inclusion bounds orders generates energy. highlight translating mediator bounds section. axial mediator running alter bounds nucleon more. facilitate inclusion approximate expressions couplings rundm evolve couplings pages appendices figures. rundm
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29556212
10.1007/JHEP08(2016)112
Some of the most arduous and error-prone aspects of precision resummed calculations are related to the partonic hard process, having nothing to do with the resummation. In particular, interfacing to parton-distribution functions, combining various channels, and performing the phase space integration can be limiting factors in completing calculations. Conveniently, however, most of these tasks are already automated in many Monte Carlo programs, such as MadGraph, Alpgen or Sherpa. In this paper, we show how such programs can be used to produce distributions of partonic kinematics with associated color structures representing the hard factor in a resummed distribution. These distributions can then be used to weight convolutions of jet, soft and beam functions producing a complete resummed calculation. In fact, only around 1000 unweighted events are necessary to produce precise distributions. A number of examples and checks are provided, including $e^+e^-$ two- and four-jet event shapes, $n$-jettiness and jet-mass related observables at hadron colliders. Attached code can be used to modify MadGraph to export the relevant leading-order hard functions and color structures for arbitrary processes.Comment: 30 pages, 10 figures, code included with submissio
Streamlining resummed QCD calculations using Monte Carlo integration
streamlining resummed qcd calculations using monte carlo integration
arduous prone precision resummed partonic nothing resummation. interfacing parton combining performing limiting completing calculations. conveniently tasks automated monte carlo programs madgraph alpgen sherpa. programs partonic kinematics representing resummed distribution. convolutions producing resummed calculation. unweighted precise distributions. checks shapes jettiness observables hadron colliders. attached modify madgraph export pages submissio
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42711537
10.1007/JHEP08(2016)114
In this work, we have considered a gauged $U(1)_{\rm B-L}$ extension of the Standard Model (SM) with three right handed neutrinos for anomaly cancellation and two additional SM singlet complex scalars with non-trivial B-L charges. One of these is used to spontaneously break the $U(1)_{\rm B-L}$ gauge symmetry, leading to Majorana masses for the neutrinos through the standard Type I seesaw mechanism, while the other becomes the dark matter (DM) candidate in the model. We test the viability of the model to simultaneously explain the DM relic density observed in the CMB data as well as the Galactic Centre (GC) $\gamma$-ray excess seen by Fermi-LAT. We show that for DM masses in the range 40-55 GeV and for a wide range of $U(1)_{\rm B-L}$ gauge boson masses, one can satisfy both these constraints if the additional neutral Higgs scalar has a mass around the resonance region. In studying the dark matter phenomenology and GC excess, we have taken into account theoretical as well as experimental constraints coming from vacuum stability condition, PLANCK bound on DM relic density, LHC and LUX and present allowed areas in the model parameter space consistent with all relevant data, calculate the predicted gamma ray flux from the GC and discuss the related phenomenology.Comment: 33 Pages, 11 Figures, 3 Tables, Version accepted for publication in JHE
Galactic Gamma Ray Excess and Dark Matter Phenomenology in a $U(1)_{B-L}$ Model
galactic gamma ray excess and dark matter phenomenology in a $u(1)_{b-l}$ model
gauged handed neutrinos anomaly cancellation singlet scalars trivial charges. spontaneously break majorana neutrinos seesaw candidate model. viability simultaneously relic galactic gamma excess fermi lat. boson satisfy neutral region. studying phenomenology excess coming planck relic gamma pages tables publication
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42703769
10.1007/JHEP08(2016)115
Motivated by the recently improved lattice QCD results on the hadronic matrix elements entering $\Delta M_{s,d}$ in $B_{s,d}^0-\bar B_{s,d}^0$ mixings and the resulting increased tensions between $\Delta M_{s,d}$ and $\varepsilon_K$ in the Standard Model and CMFV models, we demonstrate that these tensions can be removed in 331 models based on the gauge group $SU(3)_C\times SU(3)_L\times U(1)_X$ both for $M_{Z^\prime}$ in the LHC reach and well beyond it. But the implied new physics (NP) patterns in $\Delta F=1$ observables depend sensitively on the value of $|V_{cb}|$. Concentrating the analysis on three 331 models that have been selected by us previously on the basis of their performance in electroweak precision tests and $\varepsilon^\prime/\varepsilon$ we illustrate this for $|V_{cb}|=0.042$ and $|V_{cb}|=0.040$. We find that these new lattice data still allow for positive shifts in $\varepsilon^\prime/\varepsilon$ up to $6\times 10^{-4}$ for $M_{Z^\prime}=3~TeV$ for both values of $$|V_{cb}|$ but for $M_{Z^\prime}=10~TeV$ only for $|V_{cb}|=0.040$ such shifts can be obtained. NP effects in $B_s\to\mu^+\mu^-$ and in the Wilson coefficient $C_9$ are significantly larger in all three models for the case of $|V_{cb}|=0.040$. In particular in two models the rate for $B_s\to\mu^+\mu^-$ can be reduced by NP by $20\%$ for $M_{Z^\prime}=3~TeV$ resulting in values in the ballpark of central values from CMS and LHCb. In the third model a shift in $C_9$ up to $C_9^\text{NP}=-0.5$ is possible. We also consider the simplest 331 model, analyzed recently in the literature, in which $X=Y$, the usual hypercharge. We find that in this model NP effects in flavour observables are much smaller than in the three models with $X\not=Y$, in particular NP contributions to the ratio $\varepsilon^\prime/\varepsilon$ are very strongly suppressed.Comment: LaTeX, 24 pages, 16 figures. Discussion on $V_{ub}$ and $V_{cb}$ improved, two more figures added, conclusions unchange
331 Models Facing the Tensions in $\Delta F=2$ Processes with the Impact on $\varepsilon^\prime/\varepsilon$, $B_s\to\mu^+\mu^-$ and $B\to K^*\mu^+\mu^-$
331 models facing the tensions in $\delta f=2$ processes with the impact on $\varepsilon^\prime/\varepsilon$, $b_s\to\mu^+\mu^-$ and $b\to k^*\mu^+\mu^-$
motivated hadronic entering delta mixings tensions delta varepsilon cmfv tensions removed prime implied delta observables sensitively concentrating electroweak precision varepsilon prime varepsilon illustrate shifts varepsilon prime varepsilon prime prime shifts obtained. wilson prime ballpark lhcb. possible. simplest usual hypercharge. flavour observables varepsilon prime varepsilon latex pages figures. unchange
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42729872
10.1007/JHEP08(2016)116
We explore the momentum analyticity of the static transverse polarization tensor of a 2+1 dimensional holographic superconductor in its normal phase with a nonzero chemical potential, aiming at finding the holographic counterpart of the singularities underlying the Friedel-like oscillations of an ordinary field theory. We prove that the polarization tensor is a meromorphic function with an infinite number of poles located on the complex momentum plane off real axis. With the aid of the WKB approximation these poles are found to lies asymptotically along two straight lines parallel to the imaginary axis for a large momentum magnitude. The similarity between the holographic Green's function and that of an weakly coupled ordinary field theory (e.g., 2+1 dimensional QED) regarding the location of the momentum singularities offers further support to the validity of the gauge/gravity duality.Comment: 17 pages, 2 figure
Momentum Analyticity of Transverse Polarization Tensor in the Normal Phase of a Holographic Superconductor
momentum analyticity of transverse polarization tensor in the normal phase of a holographic superconductor
explore analyticity holographic superconductor nonzero aiming holographic counterpart singularities friedel oscillations ordinary theory. meromorphic infinite poles axis. poles lies asymptotically straight imaginary magnitude. similarity holographic weakly ordinary e.g. singularities offers validity pages
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42662368
10.1007/JHEP08(2016)117
We study the supersymmetric Casimir energy $E_\mathrm{susy}$ of $\mathcal{N}=1$ field theories with an R-symmetry, defined on rigid supersymmetric backgrounds $S^1\times M_3$, using a Hamiltonian formalism. These backgrounds admit an ambi-Hermitian geometry, and we show that the net contributions to $E_\mathrm{susy}$ arise from certain twisted holomorphic modes on $\mathbb{R}\times M_3$, with respect to both complex structures. The supersymmetric Casimir energy may then be identified as a limit of an index-character that counts these modes. In particular this explains a recent observation relating $E_\mathrm{susy}$ on $S^1\times S^3$ to the anomaly polynomial. As further applications we compute $E_\mathrm{susy}$ for certain secondary Hopf surfaces, and discuss how the index-character may also be used to compute generalized supersymmetric indices.Comment: 47 pages; v2: footnote 6 added, formula (5.29) changed, Section 6 moved to Appendix
The character of the supersymmetric Casimir energy
the character of the supersymmetric casimir energy
supersymmetric casimir mathrm susy mathcal rigid supersymmetric backgrounds formalism. backgrounds admit ambi hermitian mathrm susy arise twisted holomorphic mathbb structures. supersymmetric casimir character counts modes. explains relating mathrm susy anomaly polynomial. mathrm susy hopf character supersymmetric pages footnote changed moved
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42657837
10.1007/JHEP08(2016)118
We compute the leading contribution to the mutual information (MI) of two disjoint spheres in the large distance regime for arbitrary conformal field theories (CFT) in any dimension. This is achieved by refining the operator product expansion method introduced by Cardy \cite{Cardy:2013nua}. For CFTs with holographic duals the leading contribution to the MI at long distances comes from bulk quantum corrections to the Ryu-Takayanagi area formula. According to the FLM proposal\cite{Faulkner:2013ana} this equals the bulk MI between the two disjoint regions spanned by the boundary spheres and their corresponding minimal area surfaces. We compute this quantum correction and provide in this way a non-trivial check of the FLM proposal.Comment: 16 pages, 2 figures, acknowledges added to match the submitted JHEP versio
Quantum Corrections to Holographic Mutual Information
quantum corrections to holographic mutual information
mutual disjoint spheres conformal dimension. refining cardy cite cardy cfts holographic duals distances comes takayanagi formula. proposal cite faulkner equals disjoint spanned spheres surfaces. trivial check pages acknowledges match submitted jhep versio
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42718584
10.1007/JHEP08(2016)120
We study properties of a non equilibrium steady state generated when two heat baths are initially in contact with one another. The dynamics of the system we study are governed by holographic duality in a large number of dimensions. We discuss the "phase diagram" associated with the steady state; the dual, dynamical, black hole description of this problem; and its relation to the fluid/gravity correspondence.Comment: 34 pages, 35 figures; v2 ref added, bug in hyperlinks fixed; v3 clarifying remarks added, version to appear in JHE
The holographic dual of a Riemann problem in a large number of dimensions
the holographic dual of a riemann problem in a large number of dimensions
steady baths initially another. governed holographic duality dimensions. steady pages hyperlinks clarifying remarks
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29500728
10.1007/JHEP08(2016)121
Consider an arbitrary local quantum field theory with a gap or an arbitrary gapless free theory. We consider states in such a theory, that describe two entangled particles localized in disjoint regions of space. We show that in such a state, to leading order, R\'{e}nyi entropies of spatial regions, containing only one of the particles are same as their quantum mechanical counterparts, after subtraction of vacuum contribution. Subleading corrections depend on overlap of wave functions. These results suggest that Von Neumann entropy of a spatial region, after subtraction of vacuum contribution, can serve as a measure of entanglement of indistinguishable particles in pure states.Comment: 14 pages, v5: JHEP published versio
Entanglement of Spatial Regions vs. Entanglement of Particles
entanglement of spatial regions vs. entanglement of particles
gapless theory. entangled localized disjoint space. entropies counterparts subtraction contribution. subleading overlap functions. neumann subtraction serve entanglement indistinguishable pages jhep versio
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42697229
10.1007/JHEP08(2016)123
We construct a three dimensional deconfinement method which enables us to find new three-dimensional dualities and we apply various techniques developed in four dimensional supersymmetric gauge theories, such as the product gauge groups and Seiberg-Witten curves to the three dimensional $\mathcal{N}=2$ supersymmetric gauge theories. Dual descriptions of three dimensional $\mathcal{N}=2$ supersymmetric gauge theories which involve two-index matters, for example, adjoint, symmetric, and anti-symmetric matters without superpotentials can be obtained. These matters are described in terms of s-confining phases of the supersymmetric gauge theories.Comment: 46 page
3d Deconfinement, Product gauge group, Seiberg-Witten and New 3d dualities
3d deconfinement, product gauge group, seiberg-witten and new 3d dualities
deconfinement enables dualities supersymmetric seiberg witten mathcal supersymmetric theories. descriptions mathcal supersymmetric involve matters adjoint matters superpotentials obtained. matters confining supersymmetric
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42695984
10.1007/JHEP08(2016)124
Based on the gauge/gravity correspondence, the hydrodynamic response coefficients, shear and Hall viscosities, have been studied. The holographic model of Einstein-Maxwell- AdS $(3+1)$-dimensional system additionally coupled with the another gauge field mimicking the {\it dark matter} sector, as well as, gravitational Chern-Simons term bounded with a dynamical scalar field, were taken into account. Condensation of the scalar field provides the parity violating term. Both shear and Hall viscosities have been calculated and their dependence on $\alpha$ - the coupling constant between matter and {\it dark matter} sectors has been studied. To the lowest order in the derivative expansion and perturbation in $\alpha$, the shear viscosity is not influenced by the {\it dark matter}, while the Hall component linearly depends on $\alpha$.Comment: JHEP style, this version meets the published one, JHEP08 (2016) 12
Viscosity of holographic fluid in the presence of dark matter sector
viscosity of holographic fluid in the presence of dark matter sector
correspondence hydrodynamic hall viscosities studied. holographic einstein maxwell additionally mimicking gravitational chern simons account. condensation parity violating term. hall viscosities alpha sectors studied. perturbation alpha viscosity influenced hall linearly alpha .comment jhep style meets jhep
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42738083
10.1007/JHEP08(2016)125
We propose a new approach to the LHC dark matter search analysis within the effective field theory (EFT) framework by utilising the K-matrix unitarisation formalism. This approach provides a reasonable estimate of the dark matter production cross section at high energies, and hence allows reliable bounds to be placed on the cut-off scale of relevant operators without running into the problem of perturbative unitarity violation. We exemplify this procedure for the effective operator D5 in monojet dark matter searches in the collinear approximation. We compare our bounds to those obtained using the truncation method and identify a parameter region where the unitarisation prescription leads to more stringent bounds.Comment: 20 pages, 7 figures. References added and minor corrections made to match published versio
Unitarisation of EFT Amplitudes for Dark Matter Searches at the LHC
unitarisation of eft amplitudes for dark matter searches at the lhc
propose utilising unitarisation formalism. reasonable reliable bounds placed running perturbative unitarity violation. exemplify monojet searches collinear approximation. bounds truncation unitarisation prescription stringent pages figures. minor match versio
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42743832
10.1007/JHEP08(2016)126
A consistent theoretical description of physics at high energies requires an assessment of vacuum stability in either the Standard Model or any extension of it. Especially supersymmetric extensions allow for several vacua and the choice of the desired electroweak one gives strong constraints on the parameter space. As the general parameter space in the Minimal Supersymmetric Standard Model is huge, any severe constraint on it unrelated to direct phenomenological observations enhances the predictability of the model. We perform an updated analysis of possible charge and color breaking minima without relying on fixed directions in field space that minimize certain terms in the potential (known as "D-flat" directions). Concerning the cosmological stability of false vacua, we argue that there are always directions in configuration space which lead to very short-lived vacua and therefore such exclusions are strict. In addition to existing strong constraints on the parameter space, we find even stronger constraints extending the field space compared to previous analyses and combine those constraints with predictions for the light CP-even Higgs mass in the Minimal Supersymmetric Standard Model. Low masses for supersymmetric partners are excluded from vacuum stability in combination with the 125 GeV Higgs and the allowed parameter space opens at a few TeV.Comment: 32 pages, 10 figures; v3: typos corrected, matches version to be published in JHE
A new view on vacuum stability in the MSSM
a new view on vacuum stability in the mssm
supersymmetric extensions vacua desired electroweak space. supersymmetric huge unrelated phenomenological enhances predictability model. updated breaking minima relying directions minimize directions concerning cosmological false vacua argue directions lived vacua exclusions strict. stronger extending combine supersymmetric model. supersymmetric partners excluded opens pages typos corrected matches
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42660390
10.1007/JHEP08(2016)128
Left-Right (LR) models are extensions of the Standard Model where left-right symmetry is restored at high energies, and which are strongly constrained by kaon mixing described in the framework of the $|\Delta S|=2$ effective Hamiltonian. We consider the short-distance QCD corrections to this Hamiltonian both in the Standard Model (SM) and in LR models. The leading logarithms occurring in these short-distance corrections can be resummed within a rigourous Effective Field Theory (EFT) approach integrating out heavy degrees of freedom progressively, or using an approximate simpler method of regions identifying the ranges of loop momentum generating large logarithms in the relevant two-loop diagrams. We compare the two approaches in the SM at next-to-leading order, finding a very good agreement when one scale dominates the problem, but only a fair agreement in the presence of a large logarithm at leading order. We compute the short-distance QCD corrections for LR models at next-to-leading order using the method of regions, and we compare the results with the EFT approach for the $WW'$ box with two charm quarks (together with additional diagrams forming a gauge-invariant combination), where a large logarithm occurs already at leading order. We conclude by providing next-to-leading-order estimates for $cc$, $ct$ and $tt$ boxes in LR models.Comment: Accepted for publication in JHE
Short-distance QCD corrections to $K^0\bar{K}^0$ mixing at next-to-leading order in Left-Right models
short-distance qcd corrections to $k^0\bar{k}^0$ mixing at next-to-leading order in left-right models
extensions restored constrained kaon delta hamiltonian. models. logarithms occurring resummed rigourous integrating freedom progressively approximate simpler identifying ranges generating logarithms diagrams. dominates fair logarithm order. charm quarks diagrams forming logarithm order. boxes publication
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42684058
10.1007/JHEP08(2016)129
Fractional statistics and quantum chaos are both phenomena associated with the non-local storage of quantum information. In this article, we point out a connection between the butterfly effect in (1+1)-dimensional rational conformal field theories and fractional statistics in (2+1)-dimensional topologically ordered states. This connection comes from the characterization of the butterfly effect by the out-of-time-order-correlator proposed recently. We show that the late-time behavior of such correlators is determined by universal properties of the rational conformal field theory such as the modular S-matrix and conformal spins. Using the bulk-boundary correspondence between rational conformal field theories and (2+1)-dimensional topologically ordered states, we show that the late time behavior of out-of-time-order-correlators is intrinsically connected with fractional statistics in the topological order. We also propose a quantitative measure of chaos in a rational conformal field theory, which turns out to be determined by the topological entanglement entropy of the corresponding topological order.Comment: Published version, 1+25 pages, 10 figure
Fractional Statistics and the Butterfly Effect
fractional statistics and the butterfly effect
fractional chaos phenomena storage information. connection butterfly rational conformal fractional topologically ordered states. connection comes butterfly correlator recently. correlators universal rational conformal modular conformal spins. correspondence rational conformal topologically ordered correlators intrinsically fractional topological order. propose chaos rational conformal turns topological entanglement topological pages
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42740888
10.1007/JHEP08(2016)130
We investigate the short interval expansion of the R\'enyi entropy for two-dimensional conformal field theory (CFT) on a torus. We require the length of the interval $\ell$ to be small with respect to the spatial and temporal sizes of the torus. The operator product expansion of the twist operators allows us to compute the short interval expansion of the R\'enyi entropy at any temperature. In particular, we pay special attention to the large $c$ CFTs dual to the AdS$_3$ gravity and its cousins. At both low and high temperature limits, we read the R\'enyi entropies to order $\ell^6$, and find good agreements with holographic results. Moreover, the expansion allows us to read $1/c$ contribution, which is hard to get by expanding the thermal density matrix. We generalize the study to the case with the chemical potential as well.Comment: 19 pages; V2, 19 pages, typos corrected, published versio
Short interval expansion of R\'enyi entropy on torus
short interval expansion of r\'enyi entropy on torus
enyi conformal torus. sizes torus. twist enyi temperature. cfts cousins. read enyi entropies agreements holographic results. read expanding matrix. generalize pages pages typos corrected versio
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42723288
10.1007/JHEP08(2016)132
The KKLT construction of dS vacua relies on an uplift term that arises from an anti-D3-brane. It was argued by Kachru, Pearson and Verlinde that this anti-D3-brane is an excited state in a supersymmetric theory since it can decay to a supersymmetric ground state. Hence the anti-D3-brane breaks supersymmetry spontaneously and one should be able to package all the world-volume fields on the anti-D3-brane into a four dimensional $\cal{N}=1$ supersymmetric action. Here we extend previous results and identify the constrained superfields that correspond to all the degrees of freedom on the anti-D3-brane. In particular, we show explicitly that the four 4D worldvolume spinors give rise to constrained chiral multiplets $S$ and $Y^i$, $i=1,2,3$ that satisfy $S^2=SY^i=0$. We also conjecture (and provide evidence in a forthcoming publication) that the vector field $A_\mu$ and the three scalars $\phi^i$ give rise to a field strength multiplet $W_\alpha$ and three chiral multiplets $H^i$ that satisfy the constraints $S W_\alpha= \bar{D}_{\dot \alpha} (S \bar H^i)=0$. This is the first time that such constrained multiplets appear in string theory constructions.Comment: 20 pages, v2: references adde
Constrained superfields from an anti-D3-brane in KKLT
constrained superfields from an anti-d3-brane in kklt
kklt vacua relies uplift arises brane. argued kachru pearson verlinde brane excited supersymmetric supersymmetric state. brane breaks supersymmetry spontaneously package brane supersymmetric action. extend constrained superfields freedom brane. explicitly worldvolume spinors constrained chiral multiplets satisfy conjecture forthcoming publication scalars multiplet alpha chiral multiplets satisfy alpha alpha constrained multiplets pages adde
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42744161
10.1007/JHEP08(2016)134
We compute two-loop form factors of operators in the $SU(2|3)$ closed subsector of $N=4$ supersymmetric Yang-Mills. In particular, we focus on the non-protected, dimension-three operators $\mathrm{Tr} (X[Y,Z])$ and $\mathrm{Tr} ( \psi \psi)$ for which we compute the four possible two-loop form factors, and corresponding remainder functions, with external states $\langle \bar{X} \bar{Y} \bar{Z}|$ and $\langle \bar{\psi} \bar{\psi}|$. Interestingly, the maximally transcendental part of the two-loop remainder of $\langle\bar{X} \bar{Y} \bar{Z}| \mathrm{Tr} (X[Y,Z]) |0\rangle$ turns out to be identical to that of the corresponding known quantity for the half-BPS operator $\mathrm{Tr} (X^3)$. We also find a surprising connection between the terms subleading in transcendentality and certain a priori unrelated remainder densities introduced in the study of the spin chain Hamiltonian in the SU(2) sector. Next, we use our calculation to resolve the mixing, recovering anomalous dimensions and eigenstates of the dilatation operator in the SU(2|3) sector at two loops. We also speculate on potential connections between our calculations in $N=4$ super Yang-Mills and Higgs + multi-gluon amplitudes in QCD in an effective Lagrangian approach.Comment: 40+1 pages, v3: typos corrected, version published in JHE
The SU(2|3) dynamic two-loop form factors
the su(2|3) dynamic two-loop form factors
subsector supersymmetric mills. protected mathrm mathrm remainder langle langle interestingly maximally transcendental remainder langle mathrm rangle turns quantity mathrm surprising connection subleading transcendentality priori unrelated remainder densities sector. resolve recovering anomalous eigenstates dilatation loops. speculate connections super mills gluon amplitudes lagrangian pages typos corrected
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42726179
10.1007/JHEP08(2016)135
We review and investigate different aspects of scalar fields in supergravity theories both when they parametrize symmetric spaces and when they parametrize spaces of special holonomy which are not necessarily symmetric (Kahler and Quaternionic-Kahler spaces): their role in the definition of derivatives of the fermions covariant under the R-symmetry group and (in gauged supergravities) under some gauge group, their dualization into (d-2)-forms, their role in the supersymmetry transformation rules (via fermion shifts, for instance) etc. We find a general definition of momentum map that applies to any manifold admitting a Killing vector and coincides with those of the holomorphic and tri-holomorphic momentum maps in Kahler and Quaternionic-Kahler spaces and with an independent definition that can be given in symmetric spaces. We show how the momentum map occurs ubiquitously: in gauge-covariant derivatives of fermions, in fermion shifts, in the supersymmetry transformation rules of (d-2)-forms etc. We also give the general structure of the Noether-Gaillard-Zumino conserved currents in theories with fields of different ranks in any dimension.Comment: 62 pages. A few minor misprints correcte
On the dualization of scalars into (d-2)-forms in supergravity. Momentum maps, R-symmetry and gauged supergravity
on the dualization of scalars into (d-2)-forms in supergravity. momentum maps, r-symmetry and gauged supergravity
supergravity parametrize parametrize holonomy necessarily kahler quaternionic kahler derivatives fermions covariant gauged supergravities dualization supersymmetry fermion shifts etc. applies manifold admitting killing coincides holomorphic holomorphic kahler quaternionic kahler spaces. ubiquitously covariant derivatives fermions fermion shifts supersymmetry etc. noether gaillard zumino conserved currents ranks pages. minor misprints correcte
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42720926
10.1007/JHEP08(2016)136
D3 branes stretching between webs of (p,q) 5branes provide an interesting class of 3d N=2 theories. For generic pq-webs however the low energy field theory is not known. We use 3d mirror symmetry and Type IIB S-duality to construct Abelian gauge theories corresponding to D3 branes ending on both sides of a pq-web made of many coincident NS5's intersecting one D5. These theories contain chiral monopole operators in the superpotential and enjoy a non trivial pattern of global symmetry enhancements. In the special case of the pq-web with one D5 and one NS5, the 3d low energy SCFT admits three dual formulations. This triality can be applied locally inside bigger quiver gauge theories. We prove our statements using partial mirror symmetry `a la Kapustin-Strassler, showing the equality of the S^3_b partition functions and studying the quantum chiral rings.Comment: 52 pages, 20 figure
3d N=2 mirror symmetry, pq-webs and monopole superpotentials
3d n=2 mirror symmetry, pq-webs and monopole superpotentials
branes stretching webs branes theories. generic webs known. mirror duality abelian branes ending sides coincident intersecting chiral monopole superpotential enjoy trivial enhancements. scft admits formulations. triality locally bigger quiver theories. statements mirror kapustin strassler equality partition studying chiral pages
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42735225
10.1007/JHEP08(2016)138
The problem with the U-duality transformation of membrane on $T^{n}$ is recently addressed in [arXiv:1509.02915 [hep-th]]. We will consider the U-duality transformation rule of membrane on $T^{n}\times R$. It turns out that winding modes on $T^{n}$ should be taken into account, since the duality transformation may bring the membrane configuration without winding modes into the one with winding modes. With the winding modes added, the membrane worldvolume theory in lightcone gauge is equivalent to the $n+1$ dimensional super-Yang-Mills (SYM) theory in $\tilde{T}^{n}$, which has $SL(2,Z)\times SL(3,Z)$ and $SL(5,Z)$ symmetries for $n=3$ and $n=4$, respectively. The $SL(2,Z)\times SL(3,Z)$ transformation can be realized classically, making the on-shell field configurations transformed into each other. However, the $SL(5,Z)$ symmetry may only be realized at the quantum level, since the classical $5d$ SYM field configurations cannot form the representation of $SL(5,Z)$.Comment: 19 pages; v2: 20 pages, reference corrected, extended discussion in section 5, journal versio
U-duality transformation of membrane on $T^{n}$ revisited
u-duality transformation of membrane on $t^{n}$ revisited
duality addressed duality turns winding duality bring winding winding modes. winding worldvolume lightcone super mills tilde symmetries respectively. realized classically configurations transformed other. realized configurations .comment pages pages corrected versio
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42668773
10.1007/JHEP08(2016)141
We define a nonabelian version of particle-vortex duality, by dimensionally extending usual (1+1)-dimensional nonabelian T-duality to (2+1) dimensions. While we will explicitly describe a global $SU(2)$ symmetry, our methods can also be applied to a larger group $G$, by gauging an appropriate subgroup. We will exemplify our duality with matter in both adjoint and fundamental representations by considering a modification of ${\cal N}=2$ supersymmetric Yang-Mills theory (Seiberg-Witten theory reduced to (2+1) dimensions), and an $SU(2)\times U(1)$ color-flavor locked theory that exhibits nonabelian vortex solutions.Comment: 23 pages, no figure
A nonabelian particle-vortex duality in gauge theories
a nonabelian particle-vortex duality in gauge theories
nonabelian vortex duality dimensionally extending usual nonabelian duality dimensions. explicitly gauging subgroup. exemplify duality adjoint representations modification supersymmetric mills seiberg witten flavor locked exhibits nonabelian vortex pages
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29544008
10.1007/JHEP08(2016)142
We propose field equations for the conformal higher spin system in three dimensions coupled to a conformal scalar field with a sixth order potential. Both the higher spin equation and the unfolded equation for the scalar field have source terms and are based on a conformal higher spin algebra which we treat as an expansion in multi-commutators. Explicit expressions for the source terms are suggested and subjected to some simple tests. We also discuss a cascading relation between the Chern-Simons action for the higher spin gauge theory and an action containing a term for each spin that generalizes the spin 2 Chern-Simons action in terms of the spin connection expressed in terms of the frame field. This cascading property is demonstrated in the free theory for spin 3 but should work also in the complete higher spin theory.Comment: v2: 20 pages, misprints corrected, footnotes adde
On the conformal higher spin unfolded equation for a three-dimensional self-interacting scalar field
on the conformal higher spin unfolded equation for a three-dimensional self-interacting scalar field
propose conformal conformal sixth potential. unfolded conformal treat commutators. expressions subjected tests. cascading chern simons generalizes chern simons connection field. cascading pages misprints corrected footnotes adde
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42732077
10.1007/JHEP08(2016)143
We develop a polynomial reduction procedure that transforms any gauge fixed CHY amplitude integrand for $n$ scattering particles into a $\sigma$-moduli multivariate polynomial of what we call the $\textit{standard form}$. We show that a standard form polynomial must have a specific $\textit{ladder type}$ monomial structure, which has finite size at any $n$, with highest multivariate degree given by $(n-3)(n-4)/2$. This set of monomials spans a complete basis for polynomials with rational coefficients in kinematic data on the support of scattering equations. Subsequently, at tree and one-loop level, we employ the global residue theorem to derive a prescription that evaluates any CHY amplitude by means of collecting simple residues at infinity only. The prescription is then applied explicitly to some tree and one-loop amplitude examples.Comment: 28 pages, published versio
Polynomial reduction and evaluation of tree- and loop-level CHY amplitudes
polynomial reduction and evaluation of tree- and loop-level chy amplitudes
transforms integrand sigma moduli multivariate call textit textit ladder monomial multivariate monomials spans polynomials rational kinematic equations. subsequently employ residue derive prescription evaluates collecting infinity only. prescription explicitly pages versio
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42737245
10.1007/JHEP08(2016)144
In this paper we wish to find the corresponding Gibbons-Hawking-York term for the most general quadratic in curvature gravity by using Coframe slicing within the Arnowitt-Deser-Misner (ADM) decomposition of spacetime in four dimensions. In order to make sure that the higher derivative gravity is ghost and tachyon free at a perturbative level, one requires infinite covariant derivatives, which yields a generalised covariant infinite derivative theory of gravity. We will be exploring the boundary term for such a covariant infinite derivative theory of gravity.Comment: 37 page
Generalised Boundary Terms for Higher Derivative Theories of Gravity
generalised boundary terms for higher derivative theories of gravity
wish gibbons hawking quadratic curvature coframe slicing arnowitt deser misner decomposition spacetime dimensions. sure ghost tachyon perturbative infinite covariant derivatives generalised covariant infinite gravity. exploring covariant infinite
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42737783
10.1007/JHEP08(2016)145
We show how to correctly treat threshold singularities in fixed-order perturbative calculations of the electron anomalous magnetic moment and hadronic pair production processes such as top pair production. With respect to the former, we demonstrate the equivalence of the "non-perturbative", resummed treatment of the vacuum polarization contribution, whose spectral function exhibits bound state poles, with the fixed-order calculation by identifying a threshold localized term in the four-loop spectral function. In general, we find that a modification of the dispersion relation by threshold subtractions is required to make fixed-order calculations well-defined and provide the subtraction term. We then solve the apparent problem of a divergent convolution of the partonic cross section with the parton luminosity in the computation of the top pair production cross section starting from the fourth-order correction. We find that when the computation is performed in the usual way as an integral of real and virtual corrections over phase space at a given order in the expansion in the strong coupling, an additional contribution has to be added at N3LO.Comment: 15 pages, 3 figure
Threshold singularities, dispersion relations and fixed-order perturbative calculations
threshold singularities, dispersion relations and fixed-order perturbative calculations
correctly treat singularities perturbative anomalous moment hadronic production. former equivalence perturbative resummed exhibits poles identifying localized function. modification subtractions subtraction term. solve apparent divergent convolution partonic parton luminosity fourth correction. usual virtual pages
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42697224
10.1007/JHEP08(2016)146
In the context of non-geometric type II orientifold compactifications, there have been two formulations for representing the various NS-NS Bianchi-identities. In the first formulation, the standard three-form flux ($H_3$), the geometric flux ($\omega$) and the non-geometric fluxes ($Q$ and $R$) are expressed by using the real six-dimensional indices (e.g. $H_{ijk}, \omega_{ij}{}^k, Q_i{}^{jk}$ and $R^{ijk}$), and this formulation has been heavily utilized for simplifying the scalar potentials in toroidal-orientifolds. On the other hand, relevant for the studies beyond toroidal backgrounds, a second formulation is utilized in which all flux components are written in terms of various involutively even/odd $(2,1)$- and $(1,1)$-cohomologies of the complex threefold. In the lights of recent model building interests and some observations made in arXiv:0705.3410 and arXiv:0709.2186, in this article, we revisit two most commonly studied toroidal examples in detail to illustrate that the present forms of these two formulations are not completely equivalent. To demonstrate the same, we translate all the identities of the first formulation into cohomology ingredients, and after a tedious reshuffling of the subsequent constraints, interestingly we find that all the identities of the second formulation are embedded into the first formulation which has some additional constraints. In addition, we look for the possible solutions of these Bianchi identities in a detailed analysis, and we find that some solutions can reduce the size of scalar potential very significantly, and in some cases are too strong to break the no-scale structure completely. Finally, we also comment on the influence of imposing some of the solutions of Bianchi identities in studying moduli stabilization.Comment: version 3: 46 pages; improved presentation with some clarifications added on page 18; to appear in JHE
Revisiting the two formulations of Bianchi identities and their implications on moduli stabilization
revisiting the two formulations of bianchi identities and their implications on moduli stabilization
geometric orientifold compactifications formulations representing bianchi identities. formulation geometric omega geometric fluxes indices e.g. omega formulation heavily utilized simplifying potentials toroidal orientifolds. toroidal backgrounds formulation utilized involutively cohomologies threefold. lights interests revisit commonly toroidal illustrate formulations equivalent. translate identities formulation cohomology ingredients tedious reshuffling interestingly identities formulation embedded formulation constraints. look bianchi identities break completely. comment imposing bianchi identities studying moduli pages presentation clarifications
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42667444
10.1007/JHEP08(2016)148
We demonstrate that Kerr-CFT duality can be extended to super-entropic black holes, which have non-compact horizons with finite area. We demonstrate that this duality is robust insofar as the ultra-spinning limit of a Kerr-AdS black hole (which yields the super-entropic class)commutes with the near-horizon limit (which yields the Kerr-CFT duality). Consequently the Bekeinstein-Hawking and the CFT entropies are equivalent. We show that the duality holds for both singly-spinning super-entropic black holes in 4 dimensions and for doubly-spinning super-entropic black holes of gauged supergravity in 5 dimensions. In both cases we obtain not only the expected left/right temperatures, but also temperatures associated with electric charge and with a new thermodynamic parameter specific to super-entropic black holes.Comment: 10 pages and 1 figur
Super-Entropic Black Holes and the Kerr-CFT Correspondence
super-entropic black holes and the kerr-cft correspondence
kerr duality super entropic holes horizons area. duality robust insofar ultra spinning kerr super entropic commutes horizon kerr duality bekeinstein hawking entropies equivalent. duality singly spinning super entropic holes doubly spinning super entropic holes gauged supergravity dimensions. thermodynamic super entropic pages figur
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42734290
10.1007/JHEP08(2016)151
We discuss a simple model of thermal relic dark matter whose mass can be much larger than the so-called unitarity limit on the mass of point-like particle dark matter. The model consists of new strong dynamics with one flavor of fermions in the fundamental representation which is much heavier than the dynamical scale of the new strong dynamics. Dark matter is identified with the lightest baryonic hadron of the new dynamics. The baryonic hadrons annihilate into the mesonic hadrons of the new strong dynamics when they have large radii. Resultantly, thermal relic dark matter with a mass in the PeV range is possible.Comment: 24 pages, 10 figure
Thermal Relic Dark Matter Beyond the Unitarity Limit
thermal relic dark matter beyond the unitarity limit
relic unitarity matter. flavor fermions heavier dynamics. lightest baryonic hadron dynamics. baryonic hadrons annihilate mesonic hadrons radii. resultantly relic pages
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42744286
10.1007/JHEP08(2016)152
We show that scattering amplitudes in planar N = 4 Super Yang-Mills in multi-Regge kinematics can naturally be expressed in terms of single-valued iterated integrals on the moduli space of Riemann spheres with marked points. As a consequence, scattering amplitudes in this limit can be expressed as convolutions that can easily be computed using Stokes' theorem. We apply this framework to MHV amplitudes to leading-logarithmic accuracy (LLA), and we prove that at L loops all MHV amplitudes are determined by amplitudes with up to L + 4 external legs. We also investigate non-MHV amplitudes, and we show that they can be obtained by convoluting the MHV results with a certain helicity flip kernel. We classify all leading singularities that appear at LLA in the Regge limit for arbitrary helicity configurations and any number of external legs. Finally, we use our new framework to obtain explicit analytic results at LLA for all MHV amplitudes up to five loops and all non-MHV amplitudes with up to eight external legs and four loops.Comment: 104 pages, six awesome figures and ancillary files containing the results in Mathematica forma
Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
multi-regge kinematics and the moduli space of riemann spheres with marked points
amplitudes planar super mills regge kinematics naturally valued iterated integrals moduli riemann spheres marked points. amplitudes convolutions stokes theorem. amplitudes logarithmic loops amplitudes amplitudes legs. amplitudes convoluting helicity flip kernel. classify singularities regge helicity configurations legs. analytic amplitudes loops amplitudes eight legs pages awesome ancillary files mathematica forma
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42742843
10.1007/JHEP08(2016)153
If a sterile neutrino nu_s with an eV-scale mass and a sizeable mixing to the electron neutrino exists, as indicated by the reactor and gallium neutrino anomalies, a strong resonance enhancement of nu_e-nu_s oscillations of atmospheric neutrinos should occur in the TeV energy range. At these energies neutrino flavour transitions in the 3+1 scheme depend on just one neutrino mass squared difference and are fully described within a 3-flavour oscillation framework. We demonstrate that the flavour transitions of atmospheric nu_e can actually be very accurately described in a 2-flavour framework, with neutrino flavour evolution governed by an inhomogeneous Schroedinger-like equation. Evolution equations of this type have not been previously considered in the theory of neutrino oscillations.Comment: 10 pages, 2 figures. v2: typos corrected. v3: some equations in section 2 reordered, section 3 expanded, figures enhanced and figure captions improved following referee's suggestions. Matches JHEP versio
Atmospheric neutrinos, $nu_e-nu_s$ oscillations, and a novel neutrino evolution equation
atmospheric neutrinos, $nu_e-nu_s$ oscillations, and a novel neutrino evolution equation
sterile sizeable reactor gallium anomalies enhancement oscillations neutrinos range. flavour squared flavour oscillation framework. flavour accurately flavour flavour governed inhomogeneous schroedinger equation. pages figures. typos corrected. reordered expanded captions referee suggestions. matches jhep versio
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42715312
10.1007/JHEP08(2016)154
The framework of exceptional field theory is extended by introducing consistent deformations of its generalised Lie derivative. For the first time, massive type IIA supergravity is reproduced geometrically as a solution of the section constraint. This provides a unified description of all ten- and eleven-dimensional maximal supergravities. The action of the E7 deformed theory is constructed, and reduces to those of exceptional field theory and gauged maximal supergravity in respective limits. The relation of this new framework to other approaches for generating the Romans mass non-geometrically is discussed.Comment: 39 pages. v2: typos corrected, references added. v3: typos corrected, references added, published versio
The exceptional story of massive IIA supergravity
the exceptional story of massive iia supergravity
exceptional introducing deformations generalised derivative. massive supergravity reproduced geometrically constraint. unified eleven maximal supergravities. deformed reduces exceptional gauged maximal supergravity respective limits. generating romans geometrically pages. typos corrected added. typos corrected versio
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42750709
10.1007/JHEP08(2016)155
For the first time the next-to-leading-order electroweak corrections to the full off-shell production of two top quarks that decay leptonically are presented. This calculation includes all off-shell, non-resonant, and interference effects for the 6-particle phase space. While the electroweak corrections are below one per cent for the integrated cross section, they reach up to 15% in the high-transverse-momentum region of distributions. To support the results of the complete one-loop calculation, we have in addition evaluated the electroweak corrections in two different pole approximations, one requiring two on-shell top quarks and one featuring two on-shell W bosons. While the former deviates by up to 10% from the full calculation for certain distributions, the latter provides a very good description for most observables. The increased centre-of-mass energy of the LHC makes the inclusion of electroweak corrections extremely relevant as they are particularly large in the Sudakov regime where new physics is expected to be probed.Comment: 33 pages,23 eps-figures. Matches the published version. Typo fixed in equations (2.18) and (2.19
NLO electroweak corrections to off-shell top-antitop production with leptonic decays at the LHC
nlo electroweak corrections to off-shell top-antitop production with leptonic decays at the lhc
electroweak quarks leptonically presented. resonant interference space. electroweak cent distributions. electroweak pole approximations requiring quarks featuring bosons. former deviates observables. inclusion electroweak extremely sudakov pages figures. matches version. typo
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42678555
10.1007/JHEP08(2016)156
QED with a large number $N$ of massless fermionic degrees of freedom has a conformal phase in a range of space-time dimensions. We use a large $N$ diagrammatic approach to calculate the leading corrections to $C_T$, the coefficient of the two-point function of the stress-energy tensor, and $C_J$, the coefficient of the two-point function of the global symmetry current. We present explicit formulae as a function of $d$ and check them versus the expectations in 2 and $4-\epsilon$ dimensions. Using our results in higher even dimensions we find a concise formula for $C_T$ of the conformal Maxwell theory with higher derivative action $F_{\mu \nu} (-\nabla^2)^{\frac{d}{2}-2} F^{\mu \nu}$. In $d=3$, QED has a topological symmetry current, and we calculate the correction to its two-point function coefficient, $C^{\textrm{top}}_{J}$. We also show that some RG flows involving QED in $d=3$ obey $C_T^{\rm UV} > C_T^{\rm IR}$ and discuss possible implications of this inequality for the symmetry breaking at small values of $N$.Comment: 29 pages, 9 figures. v3: minor improvements, references adde
On $C_{J}$ and $C_{T}$ in Conformal QED
on $c_{j}$ and $c_{t}$ in conformal qed
massless fermionic freedom conformal dimensions. diagrammatic current. formulae check expectations epsilon dimensions. concise conformal maxwell nabla frac topological textrm flows involving obey inequality breaking .comment pages figures. minor improvements adde
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42742170
10.1007/JHEP08(2016)157
We revisit the production of baryon asymmetries in the minimal type I seesaw model with heavy Majorana singlets in the GeV range. In particular we include "washout" effects from scattering processes with gauge bosons, Higgs decays and inverse decays, besides the dominant top scatterings. We show that in the minimal model with two singlets, and for an inverted light neutrino ordering, future measurements from SHiP and neutrinoless double beta decay could in principle provide sufficient information to predict the matter-antimatter asymmetry in the universe. We also show that SHiP measurements could provide very valuable information on the PMNS CP phases.Comment: Minor changes to match JHEP versio
Testable Baryogenesis in Seesaw Models
testable baryogenesis in seesaw models
revisit baryon asymmetries seesaw majorana singlets range. washout bosons decays decays besides scatterings. singlets inverted ordering ship neutrinoless beta predict antimatter asymmetry universe. ship valuable pmns minor match jhep versio
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42682304
10.1007/JHEP08(2016)158
We explore holographic entanglement entropy in ten-dimensional supergravity solutions. It has been proposed that entanglement entropy can be computed in such top-down models using minimal surfaces which asymptotically wrap the compact part of the geometry. We show explicitly in a wide range of examples that the holographic entanglement entropy thus computed agrees with the entanglement entropy computed using the Ryu-Takayanagi formula from the lower-dimensional Einstein metric obtained from reduction over the compact space. Our examples include not only consistent truncations but also cases in which no consistent truncation exists and Kaluza-Klein holography is used to identify the lower-dimensional Einstein metric. We then give a general proof, based on the Lewkowycz-Maldacena approach, of the top-down entanglement entropy formula.Comment: 40 page
Entanglement entropy in top-down models
entanglement entropy in top-down models
explore holographic entanglement supergravity solutions. entanglement asymptotically wrap geometry. explicitly holographic entanglement agrees entanglement takayanagi einstein space. truncations truncation kaluza klein holography einstein metric. lewkowycz maldacena entanglement
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42711785
10.1007/JHEP08(2016)160
We present a new algorithm to construct a purely four dimensional representation of higher-order perturbative corrections to physical cross-sections at next-to-leading order (NLO). The algorithm is based on the loop-tree duality (LTD), and it is implemented by introducing a suitable mapping between the external and loop momenta of the virtual scattering amplitudes, and the external momenta of the real emission corrections. In this way, the sum over degenerate infrared states is performed at integrand level and the cancellation of infrared divergences occurs locally without introducing subtraction counter-terms to deal with soft and final-state collinear singularities. The dual representation of ultraviolet counter-terms is also discussed in detail, in particular for self-energy contributions. The method is first illustrated with the scalar three-point function, before proceeding with the calculation of the physical cross-section for $\gamma^* \to q \bar{q}(g)$, and its generalisation to multi-leg processes. The extension to next-to-next-to-leading order (NNLO) is briefly commented.Comment: 39 pages, 7 figures. Final version published in JHE
Four-dimensional unsubtraction from the loop-tree duality
four-dimensional unsubtraction from the loop-tree duality
purely perturbative duality implemented introducing momenta virtual amplitudes momenta corrections. degenerate infrared integrand cancellation infrared divergences locally introducing subtraction counter deal collinear singularities. ultraviolet counter contributions. illustrated proceeding gamma generalisation processes. nnlo briefly pages figures.
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42750064
10.1007/JHEP08(2016)161
We study the holographic dual description of a superconductor in which the gravity sector consists of a Maxwell field and a charged scalar field which except its minimal coupling to gravity it is also coupled kinematically to Einstein tensor. As the strength of the new coupling is increased, the critical temperature below which the scalar field condenses is lowering, the condensation gap decreases faster than the temperature, the width of the condensation gap is not proportional to the size of the condensate and at low temperatures the condensation gap tends to zero for the strong coupling. These effects which are the result of the presence of the coupling of the scalar field to the Einstein tensor in the gravity bulk, provide a dual description of impurities concentration in a superconducting state on the boundary.Comment: 9 pages, 4 figures; V2: References added; Version accepted for publication in JHE
Building a Holographic Superconductor with a Scalar Field Coupled Kinematically to Einstein Tensor
building a holographic superconductor with a scalar field coupled kinematically to einstein tensor
holographic superconductor maxwell kinematically einstein tensor. condenses lowering condensation faster condensation condensate condensation tends coupling. einstein impurities superconducting pages publication
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42738674
10.1007/JHEP08(2016)162
We argue that the degrees of freedom in a d-dimensional CFT can be re-organized in an insightful way by studying observables on the moduli space of causal diamonds (or equivalently, the space of pairs of timelike separated points). This 2d-dimensional space naturally captures some of the fundamental nonlocality and causal structure inherent in the entanglement of CFT states. For any primary CFT operator, we construct an observable on this space, which is defined by smearing the associated one-point function over causal diamonds. Known examples of such quantities are the entanglement entropy of vacuum excitations and its higher spin generalizations. We show that in holographic CFTs, these observables are given by suitably defined integrals of dual bulk fields over the corresponding Ryu-Takayanagi minimal surfaces. Furthermore, we explain connections to the operator product expansion and the first law of entanglement entropy from this unifying point of view. We demonstrate that for small perturbations of the vacuum, our observables obey linear two-derivative equations of motion on the space of causal diamonds. In two dimensions, the latter is given by a product of two copies of a two-dimensional de Sitter space. For a class of universal states, we show that the entanglement entropy and its spin-three generalization obey nonlinear equations of motion with local interactions on this moduli space, which can be identified with Liouville and Toda equations, respectively. This suggests the possibility of extending the definition of our new observables beyond the linear level more generally and in such a way that they give rise to new dynamically interacting theories on the moduli space of causal diamonds. Various challenges one has to face in order to implement this idea are discussed.Comment: 84 pages, 12 figures; v2: expanded discussion on constraints in section 7, matches published versio
Entanglement, Holography and Causal Diamonds
entanglement, holography and causal diamonds
argue freedom organized insightful studying observables moduli causal diamonds equivalently timelike separated naturally captures nonlocality causal inherent entanglement states. observable smearing causal diamonds. quantities entanglement excitations generalizations. holographic cfts observables suitably integrals takayanagi surfaces. connections entanglement unifying view. perturbations observables obey causal diamonds. copies sitter space. universal entanglement generalization obey moduli liouville toda respectively. extending observables dynamically interacting moduli causal diamonds. challenges implement pages expanded matches versio
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42665301
10.1007/JHEP08(2016)163
The discussions on the connection between gravity and thermodynamics attract much attention recently. We consider a static self-gravitating perfect fluid system in $f(R)$ gravity, which is an important theory could explain the accelerated expansion of the universe. We first show that the Tolman-Oppenheimer-Volkoff equation of $f(R)$ theories can be obtained by thermodynamical method in spherical symmetric spacetime. Then we prove that the maximum entropy principle is also valid for $f(R)$ gravity in general static spacetimes beyond spherical symmetry. The result shows that if the constraint equation is satisfied and the temperature of fluid obeys Tolmans law, the extrema of total entropy implies other components of gravitational equations. Conversely, if $f(R)$ gravitational equation hold, the total entropy of the fluid should be extremum. Our work suggests a general and solid connection between $f(R)$ gravity and thermodynamics.Comment: 18 pages. arXiv admin note: text overlap with arXiv:1404.6601 by other author
General proof of the entropy principle for self-gravitating fluid in f(R) Gravity
general proof of the entropy principle for self-gravitating fluid in f(r) gravity
discussions connection thermodynamics attract recently. gravitating perfect accelerated universe. tolman oppenheimer volkoff thermodynamical spherical spacetime. valid spacetimes spherical symmetry. satisfied obeys tolmans extrema gravitational equations. conversely gravitational hold extremum. connection pages. admin overlap
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42721795
10.1007/JHEP08(2016)164
We present the integrand decomposition of multiloop scattering amplitudes in parallel and orthogonal space-time dimensions, $d=d_\parallel+d_\perp$, being $d_\parallel$ the dimension of the parallel space spanned by the legs of the diagrams. When the number $n$ of external legs is $n\le 4$, the corresponding representation of the multiloop integrals exposes a subset of integration variables which can be easily integrated away by means of Gegenbauer polynomials orthogonality condition. By decomposing the integration momenta along parallel and orthogonal directions, the polynomial division algorithm is drastically simplified. Moreover, the orthogonality conditions of Gegenbauer polynomials can be suitably applied to integrate the decomposed integrand, yielding the systematic annihilation of spurious terms. Consequently, multiloop amplitudes are expressed in terms of integrals corresponding to irreducible scalar products of loop momenta and external momenta. We revisit the one-loop decomposition, which turns out to be controlled by the maximum-cut theorem in different dimensions, and we discuss the integrand reduction of two-loop planar and non-planar integrals up to $n=8$ legs, for arbitrary external and internal kinematics. The proposed algorithm extends to all orders in perturbation theory.Comment: 64 pages, 4 figures, 8 table
Adaptive Integrand Decomposition in parallel and orthogonal space
adaptive integrand decomposition in parallel and orthogonal space
integrand decomposition multiloop amplitudes orthogonal perp spanned legs diagrams. legs multiloop integrals exposes away gegenbauer polynomials orthogonality condition. decomposing momenta orthogonal directions division drastically simplified. orthogonality gegenbauer polynomials suitably integrate decomposed integrand yielding annihilation spurious terms. multiloop amplitudes integrals irreducible momenta momenta. revisit decomposition turns integrand planar planar integrals legs kinematics. extends orders perturbation pages
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42711981
10.1007/JHEP08(2016)165
We develop a renormalization method for holographic entanglement entropy based on area renormalization of entangling surfaces. The renormalized entanglement entropy is derived for entangling surfaces in asymptotically locally anti-de Sitter spacetimes in general dimensions and for entangling surfaces in four dimensional holographic renormalization group flows. The renormalized entanglement entropy for disk regions in $AdS_4$ spacetimes agrees precisely with the holographically renormalized action for $AdS_4$ with spherical slicing and hence with the F quantity, in accordance with the Casini-Huerta-Myers map. We present a generic class of holographic RG flows associated with deformations by operators of dimension $3/2 < \Delta < 5/2$ for which the F quantity increases along the RG flow, hence violating the strong version of the F theorem. We conclude by explaining how the renormalized entanglement entropy can be derived directly from the renormalized partition function using the replica trick i.e. our renormalization method for the entanglement entropy is inherited directly from that of the partition function. We show explicitly how the entanglement entropy counterterms can be derived from the standard holographic renormalization counterterms for asymptotically locally anti-de Sitter spacetimes.Comment: 44 page
Renormalized entanglement entropy
renormalized entanglement entropy
renormalization holographic entanglement renormalization entangling surfaces. renormalized entanglement entangling asymptotically locally sitter spacetimes entangling holographic renormalization flows. renormalized entanglement spacetimes agrees precisely holographically renormalized spherical slicing quantity accordance casini huerta myers map. generic holographic flows deformations delta quantity violating theorem. explaining renormalized entanglement renormalized partition replica trick i.e. renormalization entanglement inherited partition function. explicitly entanglement counterterms holographic renormalization counterterms asymptotically locally sitter
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42746871
10.1007/JHEP08(2016)166
Using an expansion in large number of dimensions, taken to subleading orders, we discuss several issues concerning the Gregory-Laflamme instabilities. We map out the phase diagram of neutral and charged black strings, and comment on the possible transition in the nature of the final state of the instability at higher order in the 1/D expansion. We also discuss unstable black membranes, and show that in certain limits the preferred shape of the non-uniform phase is a triangular lattice.Comment: 20 pages, 4 figures; v3: published versio
On Brane Instabilities in the Large $D$ Limit
on brane instabilities in the large $d$ limit
subleading orders concerning gregory laflamme instabilities. neutral strings comment instability expansion. unstable membranes preferred triangular pages versio
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42748891
10.1007/JHEP08(2016)167
We consider the application of twistor theory to five-dimensional anti-de Sitter space. The twistor space of AdS$_5$ is the same as the ambitwistor space of the four-dimensional conformal boundary; the geometry of this correspondence is reviewed for both the bulk and boundary. A Penrose transform allows us to describe free bulk fields, with or without mass, in terms of data on twistor space. Explicit representatives for the bulk-to-boundary propagators of scalars and spinors are constructed, along with twistor action functionals for the free theories. Evaluating these twistor actions on bulk-to-boundary propagators is shown to produce the correct two-point functions.Comment: 24 pages, 4 figures. v2: typos fixed, published versio
Twistor methods for AdS$_5$
twistor methods for ads$_5$
twistor sitter space. twistor ambitwistor conformal correspondence reviewed boundary. penrose transform twistor space. representatives propagators scalars spinors twistor functionals theories. evaluating twistor propagators pages figures. typos versio
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42732976
10.1007/JHEP08(2016)168
The addition of supersymmetric Chern-Simons terms to ${\cal N}=8$ super-Yang-Mills theory in three-dimensions is expected to make the latter flow into infrared superconformal phases. We address this problem holographically by studying the effect of the Romans mass on the D2-brane near-horizon geometry. Working in a consistent, effective four-dimensional setting provided by $D=4$ ${\cal N}=8$ supergravity with a dyonic $\textrm{ISO(7)}$ gauging, we verify the existence of a rich web of supersymmetric domain walls triggered by the Romans mass that interpolate between the (four-dimensional description of the) D2-brane and various superconformal phases. We also construct domain walls for which both endpoints are superconformal. While most of our results are numerical, we provide analytic results for the $\textrm{SU}(3)\times \textrm{U}(1)$-invariant flow into an ${\cal N}=2$ conformal phase recently discovered.Comment: 20 pages plus appendices, 5 figures. v2: typos corrected, published tex
Romans-mass-driven flows on the D2-brane
romans-mass-driven flows on the d2-brane
supersymmetric chern simons super mills infrared superconformal phases. holographically studying romans brane horizon geometry. supergravity dyonic textrm gauging verify supersymmetric walls triggered romans interpolate brane superconformal phases. walls endpoints superconformal. analytic textrm textrm conformal pages appendices figures. typos corrected
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42715190
10.1007/JHEP08(2016)170
The global properties of the final states produced in hadronic interactions of protons at centre-of-mass energies of future hadron colliders (such as FCC-hh at CERN, and SppC in China), are studied. The predictions of various Monte Carlo (MC) event generators used in collider physics (PYTHIA 6, PYTHIA 8, and PHOJET) and in ultrahigh-energy cosmic-rays studies (EPOS, and QGSJET) are compared. Despite their different underlying modeling of hadronic interactions, their predictions for proton-proton (p-p) collisions at $\sqrt{s}$ = 100 TeV are quite similar. The average of all MC predictions (except PHOJET) for the different observables are: (i) p-p inelastic cross sections $\sigma_{\rm inel}$ = 105 $\pm$ 2 mb; (ii) total charged multiplicity $\rm N_{_{\rm ch}}$ = 150 $\pm$ 20; (iii) charged particle pseudorapidity density at midrapidity $\rm dN_{ch}/d\eta|_{\eta=0} = 9.6 \pm 0.2$; (iv) energy density at midrapidity $\rm dE/d\eta|_{\eta=0} = 13.6 \pm 1.5$ GeV, and $\rm dE/d\eta|_{\eta=5} = 670 \pm 70$ GeV at the edge of the central region; and (v) average transverse momenta at midrapidities $\rm < p_{T}> = 0.76 \pm 0.07$ GeV/c. At midrapidity, EPOS and QGSJET-II predict larger per-event multiplicity probabilities at very low ($\rm N_{\rm ch}<3$) and very high ($\rm N_{\rm ch}>100$) particle multiplicities, whereas PYTHIA 6 and 8 feature higher yields in the intermediate region $\rm N_{\rm ch}\approx$ 30--80. These results provide useful information for the estimation of the detector occupancies and energy deposits from pileup collisions at the expected large FCC-hh/SppC luminosities.Comment: 10 pages, 11 figures. Minor changes. Matches version published in JHE
Global properties of proton-proton collisions at $\sqrt{s}$ = 100 TeV
global properties of proton-proton collisions at $\sqrt{s}$ = 100 tev
hadronic protons hadron colliders cern sppc studied. monte carlo generators collider pythia pythia phojet ultrahigh cosmic rays epos qgsjet compared. hadronic proton proton collisions sqrt similar. phojet observables inelastic sigma inel multiplicity pseudorapidity midrapidity midrapidity momenta midrapidities midrapidity epos qgsjet predict multiplicity probabilities multiplicities pythia approx occupancies deposits pileup collisions sppc pages figures. minor changes. matches
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42723863
10.1007/JHEP08(2016)171
We use effective kinetic theory, accurate at weak coupling, to simulate the pre-equilibrium evolution of transverse energy and flow perturbations in heavy-ion collisions. We provide a Green function which propagates the initial perturbations to the energy-momentum tensor at a time when hydrodynamics becomes applicable. With this map, the complete pre-thermal evolution from saturated nuclei to hydrodynamics can be modelled in a perturbatively controlled way.Comment: 25 pages, 9 figures (prepared for submission to JHEP). Differences from version 1: updated figures 3(b), 5, 7, 8 and 9, replaced appendix
Initial conditions for hydrodynamics from weakly coupled pre-equilibrium evolution
initial conditions for hydrodynamics from weakly coupled pre-equilibrium evolution
simulate perturbations collisions. propagates perturbations hydrodynamics applicable. saturated nuclei hydrodynamics modelled perturbatively pages submission jhep updated replaced
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29524506
10.1007/JHEP08(2016)174
We study the conjecture made by Chang, Minwalla, Sharma, and Yin on the duality between the N=6 Vasiliev higher spin theory on AdS_4 and the N=6 Chern-Simons-matter theory, so-called ABJ theory, with gauge group U(N) x U(N+M). Building on our earlier results on the ABJ partition function, we develop the systematic 1/M expansion, corresponding to the weak coupling expansion in the higher spin theory, and compare the leading 1/M correction, with our proposed prescription, to the one-loop free energy of the N=6 Vasiliev theory. We find an agreement between the two sides up to an ambiguity that appears in the bulk one-loop calculation.Comment: 35 pages, 1 figure. v3: A sign error and the choice of boundary conditions in the higher spin one-loop calculation have been corrected. Accordingly, slight changes have been made to the details of the conclusions, improving the clai
ABJ Theory in the Higher Spin Limit
abj theory in the higher spin limit
conjecture chang minwalla sharma duality vasiliev chern simons partition prescription vasiliev theory. sides ambiguity pages figure. corrected. accordingly slight improving clai
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42698751
10.1007/JHEP08(2016)175
We study the $(1,0)$ six-dimensional SCFTs living on defects of non-geometric heterotic backgrounds (T-fects) preserving a $E_7\times E_8$ subgroup of $E_8\times E_8$. These configurations can be dualized explicitly to F-theory on elliptic K3-fibered non-compact Calabi-Yau threefolds. We find that the majority of the resulting dual threefolds contain non-resolvable singularities. In those cases in which we can resolve the singularities we explicitly determine the SCFTs living on the defect. We find a form of duality in which distinct defects are described by the same IR fixed point. For instance, we find that a subclass of non-geometric defects are described by the SCFT arising from small heterotic instantons on ADE singularities.Comment: 68 pages, 6 figure
Heterotic T-fects, 6D SCFTs, and F-Theory
heterotic t-fects, 6d scfts, and f-theory
scfts living defects geometric heterotic backgrounds fects preserving subgroup configurations dualized explicitly elliptic fibered calabi threefolds. majority threefolds resolvable singularities. resolve singularities explicitly scfts living defect. duality defects point. subclass geometric defects scft arising heterotic instantons pages
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42744461
10.1007/JHEP08(2016)176
We define and compute the dressed elliptic genus of N = 2 heterotic compactifications with torsion that are principal two-torus bundles over a K3 surface. We consider the most general gauge bundle compatible with supersymmetry, a stable holomorphic vector bundle over the base together with an Abelian bundle over the total space, generalizing the computation previously done by the authors in the absence of the latter. Starting from a (0,2) gauged linear sigma-model with torsion we use supersymmetric localization to obtain the result. We provide also a mathematical definition of the dressed elliptic genus as a modified Euler characteristic and prove that both expressions agree for hypersurfaces in weighted projective spaces. Finally we show that it admits a natural decomposition in terms of N = 4 superconformal characters, that may be useful to investigate moonshine phenomena for this wide class of N = 2 vacua, that includes K3*T2 compactifications as special cases.Comment: 36 pages, version published in JHE
Dressed elliptic genus of heterotic compactifications with torsion and general bundles
dressed elliptic genus of heterotic compactifications with torsion and general bundles
dressed elliptic genus heterotic compactifications torsion principal torus bundles surface. bundle compatible supersymmetry holomorphic bundle abelian bundle generalizing latter. gauged sigma torsion supersymmetric localization result. mathematical dressed elliptic genus euler expressions agree hypersurfaces weighted projective spaces. admits decomposition superconformal characters moonshine phenomena vacua compactifications pages
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42684868
10.1007/JHEP08(2016)177
We investigate the behavior of entanglement entropy at finite temperature and chemical potential for strongly coupled large-N gauge theories in $d$-dimensions ($d\ge 3$) that are dual to Anti-de Sitter-Reissner-Nordstrom geometries in $(d+1)-$dimensions, in the context of gauge-gravity duality. We develop systematic expansions based on the Ryu-Takayanagi prescription that enable us to derive analytic expressions for entanglement entropy and mutual information in different regimes of interest. Consequently, we identify the specific regions of the bulk geometry that contribute most significantly to the entanglement entropy of the boundary theory at different limits. We define a scale, dubbed as the effective temperature, which determines the behavior of entanglement in different regimes. At high effective temperature, entanglement entropy is dominated by the thermodynamic entropy, however, mutual information subtracts out this contribution and measures the actual quantum entanglement. Finally, we study the entanglement/disentanglement transition of mutual information in the presence of chemical potential which shows that the quantum entanglement between two sub-regions decreases with the increase of chemical potential.Comment: 38 pages, multiple figure
Aspects of Holographic Entanglement at Finite Temperature and Chemical Potential
aspects of holographic entanglement at finite temperature and chemical potential
entanglement sitter reissner nordstrom geometries duality. expansions takayanagi prescription enable derive analytic expressions entanglement mutual regimes interest. entanglement limits. dubbed determines entanglement regimes. entanglement dominated thermodynamic mutual subtracts entanglement. entanglement disentanglement mutual entanglement pages
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83853700
10.1007/JHEP08(2017)002
We compute holographic R\'enyi entropies for spherical entangling surfaces on the boundary while considering third order Lovelock gravity with negative cosmological constant in the bulk. Our study shows that third order Lovelock black holes with hyperbolic event horizon are unstable, and at low temperatures those with smaller mass are favoured, giving rise to first order phase transitions in the bulk. We determine regions in the Lovelock parameter space in arbitrary dimensions, where bulk phase transitions happen and where boundary causality constraints are met. We show that each of these points corresponds to a dual boundary conformal field theory whose R\'enyi entropy exhibits a kink at a certain critical index $n$.Comment: 19 pages, 5 figures; published versio
Non-analyticity of holographic R\'enyi entropy in Lovelock gravity
non-analyticity of holographic r\'enyi entropy in lovelock gravity
holographic enyi entropies spherical entangling lovelock cosmological bulk. lovelock holes hyperbolic horizon unstable favoured giving bulk. lovelock happen causality met. conformal enyi exhibits kink .comment pages versio
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132157646
10.1007/JHEP08(2017)002.pdf
We compute holographic Rényi entropies for spherical entangling surfaces on the boundary while considering third order Lovelock gravity with negative cosmological constant in the bulk. Our study shows that third order Lovelock black holes with hyperbolic event horizon are unstable, and at low temperatures those with smaller mass are favoured, giving rise to first order phase transitions in the bulk. We determine regions in the Lovelock parameter space in arbitrary dimensions, where bulk phase transitions happen and where boundary causality constraints are met. We show that each of these points corresponds to a dual boundary conformal field theory whose Rényi entropy exhibits a kink at a certain critical index n.This research was supported in part by the Icelandic Research Fund under contracts 163419-051 and 163422-051, and by grants from the University of Iceland Research Fund.Peer Reviewe
Non-analyticity of holographic Rényi entropy in Lovelock gravity
non-analyticity of holographic rényi entropy in lovelock gravity
holographic rényi entropies spherical entangling lovelock cosmological bulk. lovelock holes hyperbolic horizon unstable favoured giving bulk. lovelock happen causality met. conformal rényi exhibits kink n.this icelandic fund contracts grants iceland fund.peer reviewe
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83849327
10.1007/JHEP08(2017)003
In the so-called (2,2) theory, which is the U(N)^4 circular quiver superconformal Chern-Simons theory with levels (k,0,-k,0), it was known that the instanton effects are described by the free energy of topological strings whose Gopakumar-Vafa invariants coincide with those of the local D_5 del Pezzo geometry. By considering two types of one-parameter rank deformations U(N) x U(N+M) x U(N+2M) x U(N+M) and U(N+M) x U(N) x U(N+M) x U(N), we classify the known diagonal BPS indices by degrees. Together with other two types of one-parameter deformations, we further propose the topological string expression when both of the above two deformations are turned on.Comment: 57 pages, 3 eps figures, published version (with data added
Instanton Effects in Rank Deformed Superconformal Chern-Simons Theories from Topological Strings
instanton effects in rank deformed superconformal chern-simons theories from topological strings
circular quiver superconformal chern simons instanton topological strings gopakumar vafa invariants coincide pezzo geometry. deformations classify diagonal indices degrees. deformations propose topological deformations turned pages
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78507123
10.1007/JHEP08(2017)004
Building on recent advances in the understanding of gauge-Yukawa theories we explore possibilities to UV-complete the Standard Model in an asymptotically safe manner. Minimal extensions are based on a large flavor sector of additional fermions coupled to a scalar singlet matrix field. We find that asymptotic safety requires fermions in higher representations of $SU(3)_C\times SU(2)_L$. Possible signatures at colliders are worked out and include $R$-hadron searches, diboson signatures and the evolution of the strong and weak coupling constants.Comment: 52 pages, 23 figures, 7 tables, published version. v2: clarifications and results (weak sector, Fig 18) added, some plots updated post-Moriond 2017, typos remove
Directions for model building from asymptotic safety
directions for model building from asymptotic safety
advances yukawa explore possibilities asymptotically safe manner. extensions flavor fermions singlet field. asymptotic fermions representations signatures colliders worked hadron searches diboson signatures pages tables version. clarifications plots updated moriond typos remove
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73991149
10.1007/JHEP08(2017)005
For models with several Higgs doublets we present an alternative method to the one proposed by Branco, Gerard and Grimus, in 1984, to check whether or not CP is spontaneously violated in the Higgs potential. The previous method is powerful and rigorous. It requires the identification of a matrix $U$ corresponding to a symmetry of the Lagrangian and verifying a simple relation involving the vacuum expectation values. The nonexistence of such a matrix signals spontaneous CP violation. However, as the number of Higgs doublets increases, finding such a matrix $U$ may not be straightforward and it may turn out to be easier to analyse the potential by going to the so-called Higgs basis. The transformation to the Higgs basis is straightforward once the vacuum expectation values are known. The method proposed in this work is also powerful and rigorous and can be particularly useful to analyse models with more than two Higgs doublets and with continuous symmetries.Comment: 9 pages, no figures. v2: minor changes, matching JHEP versio
A Simple Method to detect spontaneous CP Violation in multi-Higgs models
a simple method to detect spontaneous cp violation in multi-higgs models
doublets branco gerard grimus check spontaneously violated potential. powerful rigorous. lagrangian verifying involving expectation values. nonexistence spontaneous violation. doublets straightforward easier analyse going basis. straightforward expectation known. powerful rigorous analyse doublets pages figures. minor matching jhep versio
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83846432
10.1007/JHEP08(2017)007
We construct two new SL(2,Z) invariant vacua of type IIB string theory which are bound states of $(p,q)$ strings with $(m,n)$ 5-branes, written as ((F, D1), (NS5, D5)) and preserve 1/4 of the full space-time supersymmetries. For the first case, the strings live inside the 5-brane world-volume and in the second case the strings are perpendicular to the 5-brane world-volume. In the first case, naively one would expect an attractive interaction between the strings and the 5-branes due to attractive force between F and D5 and also between D1 and NS5. We find that 1/4 BPS bound state exists only when the vacuum moduli satisfy certain condition which is found to be consistent with the no-force condition between the branes. No such complication arises for the second case. The tension formulae and the various other descendant states which can be obtained by the application of T-duality for both these bound states are discussed.Comment: 22 pages, 1 table, minor changes and one reference added, the version to appear in JHE
On 1/4 BPS ((F, D1), (NS5, D5)) bound states of type IIB string theory
on 1/4 bps ((f, d1), (ns5, d5)) bound states of type iib string theory
vacua strings branes preserve supersymmetries. strings live brane strings perpendicular brane volume. naively attractive strings branes attractive moduli satisfy branes. complication arises case. tension formulae descendant duality pages minor
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