pinecone/core-2020-05-10-deduplication huggingface dataset:
All-loop infrared-divergent behavior of most-subleading-color
  gauge-theory amplitudes

The infrared singularities of gravitational amplitudes are one-loop exact, in
that higher-loop divergences are characterized by the exponential of the
one-loop divergence. We show that the contributions to SU(N) gauge-theory
amplitudes that are most-subleading in the 1/N expansion are also one-loop
exact, provided that the dipole conjecture holds. Possible corrections to the
dipole conjecture, beginning at three loops, could violate one-loop-exactness,
though would still maintain the absence of collinear divergences. We also
demonstrate a relation between L-loop four-point N=8 supergravity and
most-subleading-color N=4 SYM amplitudes that holds for the two leading IR
divergences, O(1/\epsilon^L) and O(1/\epsilon^{L-1}), but breaks down at
O(1/\epsilon^{L-2}).Comment: 23 pages, no figure
LHC constraints on M_1/2 and m_0 in the semi-constrained NMSSM

Constraints from searches for squarks and gluinos at the LHC at sqrt{s}=8 TeV
are applied to the parameter space of the NMSSM with universal squark/slepton
and gaugino masses at the GUT scale, but allowing for non-universal soft Higgs
mass parameters (the sNMSSM). We confine ourselves to regions of the parameter
space compatible with a 125 GeV Higgs boson with diphoton signal rates at least
as large as the Standard Model ones, and a dark matter candidate compatible
with WMAP and XENON100 constraints. Following the simulation of numerous points
in the m_0-M_{1/2} plane, we compare the constraints on the sNMSSM from 3-5
jets + missing E_T channels as well as from multijet + missing E_T channels
with the corresponding cMSSM constraints. Due to the longer squark decay
cascades, lower bounds on M_{1/2} are alleviated by up to 50 GeV. For heavy
squarks at large m_0, the dominant constraints originate from multijet +
missing E_T channels due to gluino decays via stop pairs.Comment: 18 pages, 2 Tables, 3 Figure
Petrov type I Condition and Dual Fluid Dynamics

Recently Lysov and Strominger [arXiv:1104.5502] showed that imposing Petrov
type I condition on a $(p+1)$-dimensional timelike hypersurface embedded in a
$(p+2)$-dimensional vacuum Einstein gravity reduces the degrees of freedom in
the extrinsic curvature of the hypersurface to that of a fluid on the
hypersurface, and that the leading-order Einstein constraint equations in terms
of the mean curvature of the embedding give the incompressible Navier-Stokes
equations of the dual fluid. In this paper we show that the non-relativistic
fluid dual to vacuum Einstein gravity does not satisfy the Petrov type I
condition at next order, unless additional constraint such as the irrotational
condition is added. In addition, we show that this procedure can be inversed to
derive the non-relativistic hydrodynamics with higher order corrections through
imposing the Petrov type I condition, and that some second order transport
coefficients can be extracted, but the dual "Petrov type I fluid" does not
match the dual fluid constructed from the geometry of vacuum Einstein gravity
in the non-relativistic limit. We discuss the procedure both on the finite
cutoff surface via the non-relativistic hydrodynamic expansion and on the
highly accelerated surface via the near horizon expansion.Comment: 20 pages, published version, with minor improvement
Algebraic Curves for Factorized String Solutions

We show how to construct an algebraic curve for factorized string solution in
the context of the AdS/CFT correspondence. We define factorized solutions to be
solutions where the flat-connection becomes independent of one of the
worldsheet variables by a similarity transformation with a matrix $S$
satisfying $S^{-1}d S=const$. Using the factorization property we construct a
well defined Lax operator and an associated algebraic curve. The construction
procedure is local and does not require the introduction of a monodromy matrix.
The procedure can be applied for string solutions with any boundary conditions.
We study the properties of the curve and give several examples for the
application of the procedure.Comment: 22 page
Goldstino superfields in AdS_4

Spontaneous breaking of global supersymmetries results in Goldstino fields
which provide a nonlinear realisation of the supersymmetry algebra. A finite
supersymmetry transformation of a Goldstino field can be used to generate a
superfield whose components provide a linear realisation of the supersymmetry
algebra. This construction also automatically determines the action of the
algebra of supercovariant derivatives on Goldstino superfields, essential to
the efficient computation of manifestly supersymmetric component actions for
the Goldstinos, including coupling to matter fields. In this paper, we extend
known constructions of Goldstino superfields resulting from spontaneous
breaking of supersymmetry in flat four-dimensional N =1 superspace to
spontaneous breaking of N =1 and N =2 supersymmetry in AdS_4.Comment: 19 page
Holographic models for undoped Weyl semimetals

We continue our recently proposed holographic description of single-particle
correlation functions for four-dimensional chiral fermions with Lifshitz
scaling at zero chemical potential, paying particular attention to the
dynamical exponent z = 2. We present new results for the spectral densities and
dispersion relations at non-zero momenta and temperature. In contrast to the
relativistic case with z = 1, we find the existence of a quantum phase
transition from a non-Fermi liquid into a Fermi liquid in which two Fermi
surfaces spontaneously form, even at zero chemical potential. Our findings show
that the boundary system behaves like an undoped Weyl semimetal.Comment: 64 pages, 19 figure
Pair Production of a 125 GeV Higgs Boson in MSSM and NMSSM at the LHC

In light of the recent LHC Higgs search data, we investigate the pair
production of a SM-like Higgs boson around 125 GeV in the MSSM and NMSSM. We
first scan the parameter space of each model by considering various
experimental constraints, and then calculate the Higgs pair production rate in
the allowed parameter space. We find that in most cases the dominant
contribution to the Higgs pair production comes from the gluon fusion process
and the production rate can be greatly enhanced, maximally 10 times larger than
the SM prediction (even for a TeV-scale stop the production rate can still be
enhanced by a factor of 1.3). We also calculate the chi-square value with the
current Higgs data and find that in the most favored parameter region the
production rate is enhanced by a factor of 1.45 in the MSSM, while in the NMSSM
the production rate can be enhanced or suppressed (\sigma_{SUSY}/\sigma_{SM}
varies from 0.7 to 2.4).Comment: 15 pages, 5 figure
Angles in Fuzzy Disc and Angular Noncommutative Solitons

The fuzzy disc, introduced by the authors of Ref.[1], is a disc-shaped region
in a noncommutative plane, and is a fuzzy approximation of a commutative disc.
In this paper we show that one can introduce a concept of angles to the fuzzy
disc, by using the phase operator and phase states known in quantum optics. We
gave a description of a fuzzy disc in terms of operators and their commutation
relations, and studied properties of angular projection operators. A similar
construction for a fuzzy annulus is also given. As an application, we
constructed fan-shaped soliton solutions of a scalar field theory on a fuzzy
disc, which corresponds to a fan-shaped D-brane. We also applied this concept
to the theory of noncommutative gravity that we proposed in Ref.[2]. In
addition, possible connections to black hole microstates, holography and an
experimental test of noncommutativity by laser physics are suggested.Comment: 24 pages, 12 figures; v2: minor mistake corrected in Eq.(3.21), and
  discussion adapted accordingly; v3: a further discussion on the algebra of
  the fuzzy disc added in subsection 3.2; v4: discussions improved and typos
  correcte
The Leading Order Dressing Phase in ABJM Theory

We study the planar asymptotic dilatation operator of ABJM theory in the
SU(2) x SU(2) sector up to eight loops. Combining Bethe Ansatz techniques and N
= 2 superspace methods, we are able to fix all the coefficients appearing in
the maximal-reshuffling terms. In particular, we can directly compute from
Feynman diagrams the leading order coefficient of the dressing phase and find
an agreement with the relation conjectured by Gromov and Vieira between the
ABJM and N = 4 SYM phase factor.Comment: 41 pages, 2 figures, 1 table, JHEP3; v2: references added; v3:
  published versio
S2xS3 geometries in ABJM and giant gravitons

We construct a new NS5-brane solution in AdS4×CP3 with S2×S3 topology. This solution belongs to the general class of non-Einstein N11 metrics to which T11 belongs, and carries a non-vanishing D0-brane charge. In eleven dimensions it gives rise to a squashed S2×S3 M5-brane giant graviton which is now of the N10 type. The energies of both solutions satisfy the BPS bound E = kQ/2, indicating supersymmetric configurations, where Q is interpreted as D0-brane charge for the NS5-brane and as angular momentum for the dynamically stable M5-brane giant graviton. The ground state is degenerate with a spherical D2 or M2-brane, rather than with a point-like object. Moreover, while the charge of the spherical 2-brane can be arbitrary, the charge of the S2×S3 5-brane is bounded by N/2, with N the rank of the ABJM gauge group, a manifestation of the stringy exclusion principle. A microscopic description, suitable for the study of the finite ’t Hooft coupling region, is provided in terms of spherical D2 or M2-branes expanding into fuzzy 3-spheres
Functional renormalization group with a compactly supported smooth
  regulator function

The functional renormalization group equation with a compactly supported
smooth (CSS) regulator function is considered. It is demonstrated that in an
appropriate limit the CSS regulator recovers the optimized one and it has
derivatives of all orders. The more generalized form of the CSS regulator is
shown to reduce to all major type of regulator functions (exponential,
power-law) in appropriate limits. The CSS regulator function is tested by
studying the critical behavior of the bosonized two-dimensional quantum
electrodynamics in the local potential approximation and the sine-Gordon scalar
theory for d<2 dimensions beyond the local potential approximation. It is shown
that a similar smoothing problem in nuclear physics has already been solved by
introducing the so called Salamon-Vertse potential which can be related to the
CSS regulator.Comment: JHEP style, 11 pages, 2 figures, proofs corrected, accepted for
  publication by JHE
Exploring Drell-Yan signals from the 4D Composite Higgs Model at the LHC

We study the phenomenology of Drell-Yan processes at the Large Hadron
Collider for the case of both the neutral and charged current channels within a
recently proposed 4-Dimensional formulation of the Minimal Composite Higgs
Model. We estimate the integrated and differential event rates at the CERN
machine, assuming 14 TeV and data samples of ${\cal O}(100 {\rm{fb}}^{-1})$, as
at lower energy and/or luminosity event rates are prohibitively small. We pay
particular attention to the presence of multiple resonances in either channel,
by showing that in certain region of parameter space some of these can be
distinguishable and experimentally accessible in the invariant and/or
transverse mass distribution, sampled in either the cross section, the
forward-backward asymmetry or both. At the same time, we assess the indirect
impact onto the line-shape of the emerging gauge boson resonances, both neutral
and charged, of additional heavy fermionic states present in the spectrum of
the model. Finally, we show how to exploit in the kinematic selection the fact
that the extra neutral and charged gauge boson resonances in composite Higgs
models are correlated in mass. Such results rely on a parton level study
including a statystical error analysis.Comment: 42 pages, 19 figures, changes for publication in JHE
Differential equations for multi-loop integrals and two-dimensional
  kinematics

In this paper we consider multi-loop integrals appearing in MHV scattering
amplitudes of planar N=4 SYM. Through particular differential operators which
reduce the loop order by one, we present explicit equations for the two-loop
eight-point finite diagrams which relate them to massive hexagons. After the
reduction to two-dimensional kinematics, we solve them using symbol technology.
The terms invisible to the symbols are found through boundary conditions coming
from double soft limits. These equations are valid at all-loop order for double
pentaladders and allow to solve iteratively loop integrals given lower-loop
information. Comments are made about multi-leg and multi-loop integrals which
can appear in this special kinematics. The main motivation of this
investigation is to get a deeper understanding of these tools in this
configuration, as well as for their application in general four-dimensional
kinematics and to less supersymmetric theories.Comment: 25 pages, 7 figure
A refinement of entanglement entropy and the number of degrees of
  freedom

We introduce a "renormalized entanglement entropy" which is intrinsically UV
finite and is most sensitive to the degrees of freedom at the scale of the size
R of the entangled region. We illustrated the power of this construction by
showing that the qualitative behavior of the entanglement entropy for a
non-Fermi liquid can be obtained by simple dimensional analysis. We argue that
the functional dependence of the "renormalized entanglement entropy" on R can
be interpreted as describing the renormalization group flow of the entanglement
entropy with distance scale. The corresponding quantity for a spherical region
in the vacuum, has some particularly interesting properties. For a conformal
field theory, it reduces to the previously proposed central charge in all
dimensions, and for a general quantum field theory, it interpolates between the
central charges of the UV and IR fixed points as R is varied from zero to
infinity. We conjecture that in three (spacetime) dimensions, it is always
non-negative and monotonic, and provides a measure of the number of degrees of
freedom of a system at scale R. In four dimensions, however, we find examples
in which it is neither monotonic nor non-negative.Comment: 54 pages, v2: Discussion of Renyi entropies and citations added,
  typos correcte
Custodial Leptons and Higgs Decays

We study the effects of extended fermion sectors, respecting custodial
symmetry, on Higgs production and decay. The resulting protection for the
Z->b_L b_L and Z->\tau_R\tau_R decays allows for potentially interesting
signals in Higgs physics, while maintaining the good agreement of the Standard
Model with precision tests, without significant fine-tuning. Although being
viable setups on their own, the models we study can particularly be motivated
as the low energy effective theories of the composite Higgs models MCHM_5 and
MCHM_10 or the corresponding gauge-Higgs unification models. The spectra can be
identified with the light custodians present in these theories. These have the
potential to describe the relevant physics in their fermion sectors in a
simplified and transparent way. In contrast to previous studies of composite
models, we consider the impact of a realistic lepton sector on the Higgs
decays. We find significant modifications in the decays to \tau leptons and
photons due to the new leptonic resonances. While from a pure low energy
perspective an enhancement of the channel pp->h->\gamma\gamma turns out to be
possible, if one considers constraints on the parameters from the full
structure of the composite models, the decay mode into photons is always
reduced. We also demonstrate that taking into account the non-linearity of the
Higgs sector does not change the qualitative picture for the decays into
\tau-leptons or photons in the case of the dominant Higgs production mechanism.Comment: 33 pages, 12 figures; v2: typos corrected, references added, minor
  clarifying comments and discussion of new Moriond results added, version
  published in JHE
Neutrino Mass Matrix Model with a Bilinear Form

A neutrino mass matrix model with a bilinear form $M_\nu = k_\nu (M_D
M_R^{-1} M_D^T)^2$ is proposed within the framework of the so-called yukawaon
model, which has been proposed for the purpose of a unified description of the
lepton mixing matrix $U_{PMNS}$ and the quark mixing matrix $V_{CKM}$. The
model has only two adjustable parameters for the PMNS mixing and neutrino mass
atios. (Other parameters are fixed from the observed quark and charged lepton
mass ratios and the CKM mixing.) The model gives reasonable values $\sin^2
2\theta_{12} \simeq 0.85$ and $\sin^2 2\theta_{23} \sim 1$ and $\sin^2
2\theta_{13} \sim 0.09$ together with $R_\nu \equiv \Delta m^2_{21}/\Delta
m^2_{32} \sim 0.03$. Our prediction of the effective neutrino mass $<m>$ in the
neutrinoless double beta decay takes a sizable value $< m >\simeq 0.0034$ eV.Comment: 13 pages, 2 figures, to appear in JHE
Particle-Antiparticle Mixing, CP Violation and Rare K and B Decays in a
  Minimal Theory of Fermion Masses

We present a detailed study of Delta F=2 observables and of rare K^+(K_L) and
B_{s,d} meson decays in a "Minimal Theory of Fermion Masses" (MTFM). In this
theory Yukawa couplings are generated through the mixing with heavy vectorlike
(VF) fermions. This implies corrections to the SM quark couplings to W, Z and
Higgs so that FCNC processes receive contributions from tree level Z and Higgs
exchanges and W bosons couple to right-handed quarks. In a particular version
of this model in which the Yukawa matrix lambda^D in the heavy down fermion
sector is unitary, lambda^U =1 and M = M_{VF} is fixed, only three real and
positive definite parameters describe New Physics (NP) contributions to all
Delta F=2 and Delta F=1 observables in K and B_{s,d} systems once the known
quark masses and the CKM matrix are correctly reproduced. For M>1 TeV NP
contributions to B_{s,d}^0- bar{B}_{s,d}^0 mixings are found to be very small.
While in principle NP contributions to epsilon_K and Delta F=1 processes could
be large, the correlation between epsilon_K and K_L->mu^+ mu^- eliminates
basically NP contributions to epsilon_K and right-handed current contributions
to Delta F=1 FCNC observables. We find CMFV structure in B_{s,d} decays with
BR(B_{s,d}->mu^+ mu^-) uniquely enhanced for M=3 TeV by at least 35% and almost
up to a factor of two over their SM values. Also BR(K^+->pi^+ bar{nu} nu) and
BR(K_L->pi^0 bar{nu} nu)$ are uniquely enhanced by similar amount but the
correlation between them differs from the CMFV one. We emphasize various
correlations between K and B_{s,d} decays that could test this scenario. The
model favours gamma=68{\deg}, |V_{ub}|=0.0037, S_{psi K_S}=0.72, S_{psi
phi}=0.04 and 4.2*10^-9<BR(B_s->mu^+ mu^-)<5.0*10^-9 for M=3-4 TeV.Comment: 75 pages, 12 figure
ADM reduction of IIB on $H^{p,q}$ and dS braneworld

We propose a new Kaluza-Klein reduction scheme based on ADM decomposition.
The scheme has been motivated by AdS/CFT, especially by how the worldvolume
theory should appear from the supergravity side. We apply the scheme to IIB
supergravity reduced on a 5D hyperboloidal $\cH^5$ space, and show that an
(A)dS "braneworld" is be realized after further reduction to 4D. We comment on
applications to cosmology and black hole physics. In particular, the scheme
should provide a proper paradigm for black hole physics.Comment: 33 pages, 1 figure, modified and expanded discussion on emergence of
  gauge fiel
Dimension changing phase transitions in instanton crystals

We investigate lattices of instantons and the dimension-changing transitions between them. Our ultimate goal is the 3D → 4D transition, which is holographically dual to the phase transition between the baryonic and the quarkyonic phases of cold nuclear matter. However, in this paper (just as in [1]) we focus on lower dimensions — the 1D lattice of instantons in a harmonic potential V ∝ $ M_2^2x_2^2+M_3^2x_2^2+M_4^2x_4^2 $ , and the zigzag-shaped lattice as a first stage of the 1D → 2D transition. We prove that in the low- and moderate-density regimes, interactions between the instantons are dominated by two-body forces. This drastically simplifies finding the ground state of the instantons’ orientations, so we made a numeric scan of the whole orientation space instead of assuming any particular ansatz
Planck scale boundary conditions in the standard model with singlet
  scalar dark matter

We investigate Planck scale boundary conditions on the Higgs sector of the
standard model with a gauge singlet scalar dark matter. We will find that
vanishing self-coupling and Veltman condition at the Planck scale are realized
with the 126 GeV Higgs mass and top pole mass, 172 GeV $\lesssim M_t\lesssim$
173.5 GeV, where a correct abundance of scalar dark matter is obtained with
mass of 300 GeV $\lesssim m_S \lesssim$ 1 TeV. It means that the Higgs
potential is flat at the Planck scale, and this situation can not be realized
in the standard model with the top pole mass.Comment: 12 pages, 4 figures, version accepted for publication in JHE
Conformal symmetry of JIMWLK Evolution at NLO

We construct the Next to Leading Order JIMWLK Hamiltonian for high energy
evolution in ${\cal N}=4$ SUSY theory, and show that it possesses conformal
invariance, even though it is derived using sharp cutoff on rapidity variable.
The conformal transformation properties of Wilson lines are not quite the naive
ones, but at NLO acquire an additional anomalous piece. We construct explicitly
the inversion symmetry generator. We also show how to construct for every
operator $O$, including the Hamiltonian itself, its "conformal extension" $\cal
O$, such that it transforms under the inversion in the naive way.Comment: 20 page
Spectral curve for open strings attached to the Y=0 brane

The concept of spectral curve is generalized to open strings in AdS/CFT with
integrability preserving boundary conditions. Our definition is based on the
logarithms of the eigenvalues of the open monodromy matrix and makes possible
to determine all the analytic, symmetry and asymptotic properties of the
quasimomenta. We work out the details of the whole construction for the Y = 0
brane boundary condition. The quasimomenta of open circular strings are
explicitly calculated. We use the asymptotic solutions of the Y -system and the
boundary Bethe Ansatz equations to recover the spectral curve in the strong
coupling scaling limit. Using the curve the quasiclassical fluctuations of some
open string solutions are also studied.Comment: 34 pages, 2 figures; v3: typos corrected, sect.2.2 improve
Minimal Submanifolds asymptotic to AdS4xS2 in AdS5xS5

In this work, as an attempt in understanding the interplay between
deformations of the external and internal spaces associated with the
probe-brane embedding submanifold, we construct the zero-temperature phase
diagram for the coupled phase between two two-dimensional defects stacked
parallel in a four-dimensional ambient spacetime. Different UV parameters are
turned on for different defects. We study the system in the quenched strong
coupling limit, using holography with probe brane approximation, realized
explicitly through the D3/D5 system. This coupled phase is holographic dual to
the presence of spontaneous symmetry breaking of the individual ultraviolet
flavor symmetries associated with the double heterostructure of the defect
layers. We characterize this solution by its infrared geometric data, and
present the numerical result showing a first-order phase transition between the
asymmetrically coupled phase and the more mundane decoupled phase.Comment: 12 pages, 4 figure