pinecone/core-2020-05-10-deduplication huggingface dataset:
Dark Matter in a Constrained $E_6$ Inspired SUSY Model

We investigate dark matter in a constrained $E_6$ inspired supersymmetric
model with an exact custodial symmetry and compare with the CMSSM. The
breakdown of $E_6$ leads to an additional $U(1)_N$ symmetry and a discrete
matter parity. The custodial and matter symmetries imply there are two stable
dark matter candidates, though one may be extremely light and contribute
negligibly to the relic density. We demonstrate that a predominantly Higgsino,
or mixed bino-Higgsino, neutralino can account for all of the relic abundance
of dark matter, while fitting a 125 GeV SM-like Higgs and evading LHC limits on
new states. However we show that the recent LUX 2016 limit on direct detection
places severe constraints on the mixed bino-Higgsino scenarios that explain all
of the dark matter. Nonetheless we still reveal interesting scenarios where the
gluino, neutralino and chargino are light and discoverable at the LHC, but the
full relic abundance is not accounted for. At the same time we also show that
there is a huge volume of parameter space, with a predominantly Higgsino dark
matter candidate that explains all the relic abundance, that will be
discoverable with XENON1T. Finally we demonstrate that for the $E_6$ inspired
model the exotic leptoquarks could still be light and within range of future
LHC searches.Comment: 51 pages + 1 appendix, 10 figures, 2 tables; typos corrected and
  references added; matches version accepted for publication in JHE
A Holographic Proof of R\'enyi Entropic Inequalities

We prove R\'enyi entropic inequalities in a holographic setup based on the
recent proposal for the holographic formula of R\'enyi entropies when the bulk
is stable against any perturbation. Regarding the R\'enyi parameter as an
inverse temperature, we reformulate the entropies in analogy with statistical
mechanics, which provides us a concise interpretation of the inequalities as
the positivities of entropy, energy and heat capacity. This analogy also makes
clear a thermodynamic structure in deriving the holographic formula. As a
by-product of the proof we obtain a holographic formula to calculate the
quantum fluctuation of the modular Hamiltonian. A few examples of the capacity
of entanglement are examined in detail.Comment: 29 pages, 1 figure; v3: references added, our assumption for the
  proof clarifie
Delta(54) flavor phenomenology and strings

Delta(54) can serve as a flavor symmetry in particle physics, but remains
almost unexplored. We show that in a classification of semi-realistic Z3xZ3
heterotic string orbifolds, Delta(54) turns out to be the most natural flavor
symmetry, providing additional motivation for its study. We revisit its
phenomenological potential from a low-energy perspective and subject to the
constraints of string models. We find a model with Delta(54) arising from
heterotic orbifolds that leads to the Gatto-Sartori-Tonin relation for quarks
and charged-leptons. Additionally, in the neutrino sector, it leads to a normal
hierarchy for neutrino masses and a correlation between the reactor and the
atmospheric mixing angles, the latter taking values in the second octant and
being compatible at three sigmas with experimental data.Comment: 21 pages, 2 figures; v2: fig. and appendix added, matches the version
  published in JHE
Ordered Kinematic Endpoints for 5-body Cascade Decays

We present expressions for the kinematic endpoints of 5-body cascade decay
chains proceeding through all possible combinations of 2-body and 3-body
decays, with one stable invisible particle in the final decay stage. When an
invariant mass can be formed in multiple ways by choosing different final state
particles from a common vertex, we introduce techniques for finding the
sub-leading endpoints for all indistinguishable versions of the invariant mass.
In contrast to short decay chains, where sub-leading endpoints are linearly
related to the leading endpoints, we find that in 5-body decays, they provide
additional independent constraints on the mass spectrum.Comment: 26 pages, 3 figures, 4 table
NNLL-fast: predictions for coloured supersymmetric particle production
  at the LHC with threshold and Coulomb resummation

We present state-of-the art predictions for the production of supersymmetric
squarks and gluinos at the Large Hadron Collider (LHC), including soft-gluon
resummation up to next-to-next-to-leading logarithmic (NNLL) accuracy, the
resummation of Coulomb corrections and the contribution from bound states. The
NNLL corrections enhance the cross-section predictions and reduce the scale
uncertainty to a level of 5-10%. The NNLL resummed cross-section predictions
can be obtained from the computer code NNLL-fast, which also provides the scale
uncertainty and the pdf and alpha_s error.Comment: 23 pages, 6 figure
Investigations into Light-front Quartic Interactions for Massless Fields
  (I): Non-constructibility of Higher Spin Quartic Amplitudes

The dynamical commutators of the light-front Poincar\'e algebra yield first
order differential equations in the $p^+$ momenta for the interaction vertex
operators. The homogeneous solution to the equation for the quartic vertex is
studied. Consequences as regards the constructibility assumption of quartic
higher spin amplitudes from cubic amplitudes are discussed. The existence of
quartic contact interactions unrelated to cubic interactions by Poincar\'e
symmetry indicates that the higher spin S-matrix is not constructible. Thus
quartic amplitude based no-go results derived by BCFW recursion for Minkowski
higher spin massless fields may be circumvented.Comment: 28 pages. Small change of title (one instance of the word "quartic"
  removed) Minor corrections. Typos corrected. References adde
Electroweak precision observables and Higgs-boson signal strengths in
  the Standard Model and beyond: present and future

We present results from a state-of-the-art fit of electroweak precision
observables and Higgs-boson signal-strength measurements performed using 7 and
8 TeV data from the Large Hadron Collider. Based on the HEPfit package, our
study updates the traditional fit of electroweak precision observables and
extends it to include Higgs-boson measurements. As a result we obtain
constraints on new physics corrections to both electroweak observables and
Higgs-boson couplings. We present the projected accuracy of the fit taking into
account the expected sensitivities at future colliders.Comment: 34 pages, 30 figures, 23 table
First Sound in Holographic Superfluids at Zero Temperature

Within the context of AdS/CFT, the gravity dual of an s-wave superfluid is
given by scalar QED on an asymptotically AdS spacetime. While this conclusion
is vastly supported by numerical arguments, here we provide an analytical proof
that this is indeed the case. Working at zero temperature, we explicitly find
the quadratic action for the superfluid phonon at the boundary in an arbitrary
number of dimensions and for an arbitrary scalar field potential, recovering
the known dispersion relation for conformal first sound.Comment: 14 pages. Extended discussions in sections 3 and
Higgsed Chromo-Natural Inflation

We demonstrate that Chromo-Natural Inflation can be made consistent with
observational data if the SU(2) gauge symmetry is spontaneously broken. Working
in the Stueckelberg limit, we show that isocurvature is negligible, and the
resulting adiabatic fluctuations can match current observational constraints.
Observable levels of chirally-polarized gravitational radiation ($r\sim
10^{-3}$) can be produced while the evolution of all background fields is
sub-Planckian. The gravitational wave spectrum is amplified via linear mixing
with the gauge field fluctuations, and its amplitude is not simply set by the
Hubble rate during inflation. This allows observable gravitational waves to be
produced for an inflationary energy scale below the GUT scale. The tilt of the
resulting gravitational wave spectrum can be either blue or red.Comment: 34 +12 pages, 9 figure
The Edge of Entanglement: Getting the Boundary Right for Non-Minimally
  Coupled Scalar Fields

In entanglement computations for a free scalar field with coupling to
background curvature, there is a boundary term in the modular Hamiltonian which
must be correctly specified in order to get sensible results. We focus here on
the entanglement in flat space across a planar interface and (in the case of
conformal coupling) other geometries related to this one by Weyl rescaling of
the metric. For these "half-space entanglement" computations, we give a new
derivation of the boundary term and revisit how it clears up a number of
puzzles in the literature, including mass corrections and twist operator
dimensions. We also discuss how related boundary terms may show up in other
field theories.Comment: 34 + 7 pages, 8 figures, v2: references added, typos corrected, v3:
  minor change
Dimensional Reduction for D3-brane Moduli

Warped string compactifications are central to many attempts to stabilize
moduli and connect string theory with cosmology and particle phenomenology. We
present a first-principles derivation of the low-energy 4D effective theory
from dimensional reduction of a D3-brane in a warped Calabi-Yau
compactification of type IIB string theory with imaginary self-dual 3-form
flux, including effects of D3-brane motion beyond the probe approximation, and
find the metric on the moduli space of brane positions, the universal volume
modulus, and axions descending from the 4-form potential. As D3-branes may be
considered as carrying either electric or magnetic charges for the self-dual
5-form field strength, we present calculations in both duality frames. Our
results are consistent with, but extend significantly, earlier results on the
low-energy effective theory arising from D3-branes in string compactifications.Comment: 37 pp + appendices; v2. typographical fixes, clarified section 4.2.3;
  v3. minor edits, added clarification
Unstable `black branes' from scaled membranes at large $D$

It has recently been demonstrated that the dynamics of black holes at large
$D$ can be recast as a set of non gravitational membrane equations. These
membrane equations admit a simple static solution with shape $S^{D-p-2} \times
R^{p,1}$. In this note we study the equations for small fluctuations about this
solution in a limit in which amplitude and length scale of the fluctuations are
simultaneously scaled to zero as $D$ is taken to infinity. We demonstrate that
the resultant nonlinear equations, which capture the Gregory- Laflamme
instability and its end point, exactly agree with the effective dynamical
`black brane' equations of Emparan Suzuki and Tanabe. Our results thus identify
the `black brane' equations as a special limit of the membrane equations and so
unify these approaches to large $D$ black hole dynamics.Comment: 10 pages, references adde
Asymptotically Safe Grand Unification

Phenomenologically appealing supersymmetric grand unified theories have large
gauge representations and thus are not asymptotically free. Their ultraviolet
validity is limited by the appearance of a Landau pole well before the Planck
scale. One could hope that these theories save themselves, before the inclusion
of gravity, by generating an interacting ultraviolet fixed point, similar to
the one recently discovered in non-supersymmetric gauge-Yukawa theories.
Employing a-maximization, a-theorem, unitarity bounds, as well as positivity of
other central charges we nonperturbatively rule out this possibility for a
broad class of prime candidates of phenomenologically relevant supersymmetric
grand unified theories. We also uncover candidates passing these tests, which
have either exotic matter or contain one field decoupled from the
superpotential. The latter class of theories contains a model with the minimal
matter content required by phenomenology.Comment: 1 figure, section on the doublet-triplet problem added, new
  references, accepted in JHE
Flavour singlets in gauge theory as Permutations

Gauge-invariant operators can be specified by equivalence classes of
permutations. We develop this idea concretely for the singlets of the flavour
group $SO(N_f)$ in $U(N_c)$ gauge theory by using Gelfand pairs and Schur-Weyl
duality. The singlet operators, when specialised at $N_f =6$, belong to the
scalar sector of ${\cal N}=4$ SYM. A simple formula is given for the two-point
functions in the free field limit of $g_{YM}^2 =0$. The free two-point
functions are shown to be equal to the partition function on a 2-complex with
boundaries and a defect, in a topological field theory of permutations. The
permutation equivalence classes are Fourier transformed to a representation
basis which is orthogonal for the two-point functions at finite $N_c , N_f$.
Counting formulae for the gauge-invariant operators are described. The one-loop
mixing matrix is derived as a linear operator on the permutation equivalence
classes.Comment: 50 pages, v2: typos corrected, v3: to appear in JHE
Conditional Mutual Information of Bipartite Unitaries and Scrambling

One way to diagnose chaos in bipartite unitary channels is via the tripartite
information of the corresponding Choi state, which for certain choices of the
subsystems reduces to the negative conditional mutual information (CMI). We
study this quantity from a quantum information-theoretic perspective to clarify
its role in diagnosing scrambling. When the CMI is zero, we find that the
channel has a special normal form consisting of local channels between
individual inputs and outputs. However, we find that arbitrarily low CMI does
not imply arbitrary proximity to a channel of this form, although it does imply
a type of approximate recoverability of one of the inputs. When the CMI is
maximal, we find that the residual channel from an individual input to an
individual output is completely depolarizing when the other input is maximally
mixed. However, we again find that this result is not robust. We also extend
some of these results to the multipartite case and to the case of Haar-random
pure input states. Finally, we look at the relationship between tripartite
information and its Renyi-2 version which is directly related to
out-of-time-order correlation functions. In particular, we demonstrate an
arbitrarily large gap between the two quantities.Comment: 32 pages, 3 figure
The exceptional generalised geometry of supersymmetric AdS flux
  backgrounds

We analyse generic AdS flux backgrounds preserving eight supercharges in
$D=4$ and $D=5$ dimensions using exceptional generalised geometry. We show that
they are described by a pair of globally defined, generalised structures,
identical to those that appear for flat flux backgrounds but with different
integrability conditions. We give a number of explicit examples of such
"exceptional Sasaki-Einstein" backgrounds in type IIB supergravity and
M-theory. In particular, we give the complete analysis of the generic AdS$_5$
M-theory backgrounds. We also briefly discuss the structure of the moduli space
of solutions. In all cases, one structure defines a "generalised Reeb vector"
that generates a Killing symmetry of the background corresponding to the
R-symmetry of the dual field theory, and in addition encodes the generic
contact structures that appear in the $D=4$ M-theory and $D=5$ type IIB cases.
Finally, we investigate the relation between generalised structures and
quantities in the dual field theory, showing that the central charge and
R-charge of BPS wrapped-brane states are both encoded by the generalised Reeb
vector, as well as discussing how volume minimisation (the dual of $a$- and
$\mathcal{F}$-maximisation) is encoded.Comment: 40 page
Flat Holography: Aspects of the dual field theory

Assuming the existence of a field theory in D dimensions dual to
(D+1)-dimensional flat space, governed by the asymptotic symmetries of flat
space, we make some preliminary remarks about the properties of this field
theory. We review briefly some successes of the 3d bulk - 2d boundary case and
then focus on the 4d bulk - 3d boundary example, where the symmetry in question
is the infinite dimensional BMS4 algebra. We look at the constraints imposed by
this symmetry on a 3d field theory by constructing highest weight
representations of this algebra. We construct two and three point functions of
BMS primary fields and surprisingly find that symmetries constrain these
correlators to be identical to those of a 2d relativistic conformal field
theory. We then go one dimension higher and construct prototypical examples of
4d field theories which are putative duals of 5d Minkowski spacetimes. These
field theories are ultra-relativistic limits of electrodynamics and Yang-Mills
theories which exhibit invariance under the conformal Carroll group in D=4. We
explore the different sectors within these Carrollian gauge theories and
investigate the symmetries of the equations of motion to find that an infinite
ultra-relativistic conformal structure arises in each case.Comment: 45 page
M5-branes, orientifolds, and S-duality

We study the instanton partition functions of 5d maximal super Yang-Mills
theories with all classical gauge groups. They are computed from the ADHM
quantum mechanics of the D0-D4-O4 systems. Our partition functions respect
S-dualities of the circle compactified Yang-Mills theories and various
orientifold backgrounds. We also compute and study the $S^5$ partition
functions that correspond to the 6d (2,0) superconformal indices. Our SO(2N)
index takes the form of the vacuum character of $\mathcal{W}_D$ algebra in a
special limit, supporting the $\mathcal{W}$ algebra conjecture. We propose new
indices for (2,0) theories with outer automorphism twists along the temporal
circle, obtained from non-simply-laced SYMs on $S^5$.Comment: 26 pages, no figure; v2: reference added, minor change
Confronting SUSY models with LHC data via electroweakino production

We investigate multi-lepton signals produced by ElectroWeakino (EWino) decays
in the MSSM and the TMSSM scenarios with sfermions, gluinos and non Standard
Model Higgses at the TeV scale, being the Bino electroweak-scale dark matter.
We recast the present LHC constraints on EWinos for these models and we find
that wide MSSM and TMSSM parameter regions prove to be allowed. We forecast the
number of events expected in the signal regions of the experimental
multi-lepton analyses in the next LHC runs. The correlations among these
numbers will help to determine whether future deviations in multi-lepton data
are ascribable to the EWinos, as well as the supersymmetric model they
originate from.Comment: 33 pages, 10 figures, 3 table
Leptogenesis from Oscillations of Heavy Neutrinos with Large Mixing
  Angles

The extension of the Standard Model by heavy right-handed neutrinos can
simultaneously explain the observed neutrino masses via the seesaw mechanism
and the baryon asymmetry of the Universe via leptogenesis. If the mass of the
heavy neutrinos is below the electroweak scale, they may be found at LHCb,
BELLE II, the proposed SHiP experiment or a future high-energy collider. In
this mass range, the baryon asymmetry is generated via $CP$-violating
oscillations of the heavy neutrinos during their production. We study the
generation of the baryon asymmetry of the Universe in this scenario from first
principles of non-equilibrium quantum field theory, including spectator
processes and feedback effects. We eliminate several uncertainties from
previous calculations and find that the baryon asymmetry of the Universe can be
explained with larger heavy neutrino mixing angles, increasing the chance for
an experimental discovery. For the limiting cases of fast and strongly
overdamped oscillations of right-handed neutrinos, the generation of the baryon
asymmetry can be calculated analytically up to corrections of order one.Comment: 49 page
Little Higgs Dark Matter after PandaX-II/LUX 2016 and LHC Run-1

In the Littlest Higgs model with $T$ parity (LHT), the $T$-odd heavy photon
($A_H$) is weakly interacting and can play the role of dark matter. We
investigate the lower limit on the mass of $A_H$ dark matter under the
constraints from Higgs data, EWPOs, $R_b$, Planck 2015 dark matter relic
abundance, PandaX-II/LUX 2016 direct detections and LHC-8 TeV monojet results.
We find that (1) Higgs data, EWPOs and $R_b$ can exclude the mass of $A_H$ up
to 99 GeV. To produce the correct dark matter relic abundance, $A_H$ has to
co-annihilate with $T$-odd quarks ($q_H$) or leptons ($\ell_H$); (2) the LUX
(PandaX-II) 2016 data can further exclude $m_{A_H}<380 (270)$ GeV for
$\ell_H$-$A_H$ co-annihilation and $m_{A_H}<350 (240)$ GeV for $q_H-A_H$
co-annihilation; (3) LHC-8 TeV monojet result can give a strong lower limit,
$m_{A_H}>540$ GeV, for $q_H$-$A_H$ co-annihilation; (4) future XENON1T (2017)
experiment can fully cover the parameter space of $\ell_H$-$A_H$
co-annihilation and will push the lower limit of $m_{A_H}$ up to about 640 GeV
for $q_H$-$A_H$ co-annihilation.Comment: discussions added, version accepted by JHE
Summation of all-loop UV Divergences in Maximally Supersymmetric Gauge
  Theories

We consider the leading and subleading UV divergences for the four-point
on-shell scattering amplitudes in D=6,8,10 supersymmetric Yang-Mills theories
in the planar limit. These theories belong to the class of maximally
supersymmetric gauge theories and presumably possess distinguished properties
beyond perturbation theory. In the previous works, we obtained the recursive
relations that allow one to get the leading and subleading divergences in all
loops in a pure algebraic way. The all loop summation of the leading
divergences is performed with the help of the differential equations which are
the generalization of the RG equations for non-renormalizable theories. Here we
mainly focus on solving and analyzing these equations. We discuss the
properties of the obtained solutions and interpretation of the results.Comment: PdfLatex, 18 pages, 9 Figure
Inflation Expels Runaways

We argue that moduli stabilization generically restricts the evolution
following transitions between weakly coupled de Sitter vacua and can induce a
strong selection bias towards inflationary cosmologies. The energy density of
domain walls between vacua typically destabilizes Kahler moduli and triggers a
runaway towards large volume. This decompactification phase can collapse the
new de Sitter region unless a minimum amount of inflation occurs after the
transition. A stable vacuum transition is guaranteed only if the inflationary
expansion generates overlapping past light cones for all observable modes
originating from the reheating surface, which leads to an approximately flat
and isotropic universe. High scale inflation is vastly favored. Our results
point towards a framework for studying parameter fine-tuning and inflationary
initial conditions in flux compactifications.Comment: 56 pages, 17 figures; v2: fixed typo
Emergent gravity on covariant quantum spaces in the IKKT model

We study perturbations of 4-dimensional fuzzy spheres as backgrounds in the
IKKT or IIB matrix model. Gauge fields and metric fluctuations are identified
among the excitation modes with lowest spin, supplemented by a tower of
higher-spin fields. They arise from an internal structure which can be viewed
as a twisted bundle over $S^4$, leading to a covariant noncommutative geometry.
The linearized 4-dimensional Einstein equations are obtained from the classical
matrix model action under certain conditions, modified by an IR cutoff. Some
one-loop contributions to the effective action are computed using the formalism
of string states.Comment: 38+8 pages, 1 figure. V2: substantial revision: extension to thick
  spheres and rank 3 tensor, modified conclusion. V3: more transparent analysis
  of gravity modes, typos fixe