pinecone/core-2020-05-10-deduplication huggingface dataset:
Paths to equilibrium in non-conformal collisions

We extend our previous analysis of holographic heavy ion collisions in
non-conformal theories. We provide a detailed description of our numerical
code. We study collisions at different energies in gauge theories with
different degrees of non-conformality. We compare four relaxation times: the
hydrodynamization time (when hydrodynamics becomes applicable), the EoSization
time (when the average pressure approaches its equilibrium value), the
isotropization time (when the longitudinal and transverse pressures approach
each other) and the condensate relaxation time (when the expectation value of a
scalar operator approaches its equilibrium value). We find that these processes
can occur in several different orderings. In particular, the condensate can
remain far from equilibrium even long after the plasma has hydrodynamized and
EoSized. We also explore the rapidity distribution of the energy density at
hydrodynamization. This is far from boost-invariant and its width decreases as
the non-conformality increases. Nevertheless, the velocity field at
hydrodynamization is almost exactly boost-invariant regardless of the
non-conformality. This result may be used to constrain the initialization of
hydrodynamic fields in heavy ion collisions.Comment: 45 pages, 17 figures. Expanded some sections. Matches published
  version in JHE
One-Loop Free Energy of Tensionless Type IIB String in
  AdS$_5\times$S$^5$

Considering the zero 't Hooft coupling limit of ${\cal N}=4$ super-Yang-Mills
theory, the exact spectrum of all single-trace operators can be accessed in
terms of the underlying $so(2,4)$ character. This makes it possible in turn to
compute the one-loop free energy of the tensionless type IIB string theory in
AdS$_5\times$S$^5$ background, with help of the recently developed method of
character integral representation of zeta function (CIRZ). We calculate first
the one-loop free energy of the string states in the $(p-1)$-th Regge
trajectory and find the result to be $p$ times the free energy of a single
${\cal N}=4$ Maxwell multiplet. The full one-loop free energy is hence
proportional to the divergent series $\sum_{p=2}^\infty p\,$. The divergence
arises as a result of interrupting the regularization procedure in an
intermediate stage. With a reorganization of states, we extract the finite part
of free energy after summing over the Regge trajectories. This way gives us a
finite result which is minus of the free energy of the ${\cal N}=4$ multiplet.
Hence, this bulk one-loop result matches the -1 term in the $N^2-1$ factor of
the boundary result.Comment: 14 pages, published version in JHE
Discrete Symmetries in Heterotic/F-theory Duality and Mirror Symmetry

We study aspects of Heterotic/F-theory duality for compactifications with
Abelian discrete gauge symmetries. We consider F-theory compactifications on
genus-one fibered Calabi-Yau manifolds with n-sections, associated with the
Tate-Shafarevich group Z_n. Such models are obtained by studying first a
specific toric set-up whose associated Heterotic vector bundle has structure
group Z_n. By employing a conjectured Heterotic/F-theory mirror symmetry we
construct dual geometries of these original toric models, where in the stable
degeneration limit we obtain a discrete gauge symmetry of order two and three,
for compactifications to six dimensions. We provide explicit constructions of
mirror-pairs for symmetric examples with Z_2 and Z_3, in six dimensions. The
Heterotic models with symmetric discrete symmetries are related in field theory
to a Higgsing of Heterotic models with two symmetric abelian U(1) gauge
factors, where due to the Stuckelberg mechanism only a diagonal U(1) factor
remains massless, and thus after Higgsing only a diagonal discrete symmetry of
order n is present in the Heterotic models and detected via Heterotic/F-theory
duality. These constructions also provide further evidence for the conjectured
mirror symmetry in Heterotic/F-theory at the level of fibrations with torsional
sections and those with multi-sections.Comment: 25 pages, 4 figure
Edge length dynamics on graphs with applications to $p$-adic AdS/CFT

We formulate a Euclidean theory of edge length dynamics based on a notion of
Ricci curvature on graphs with variable edge lengths. In order to write an
explicit form for the discrete analog of the Einstein-Hilbert action, we
require that the graph should either be a tree or that all its cycles should be
sufficiently long. The infinite regular tree with all edge lengths equal is an
example of a graph with constant negative curvature, providing a connection
with $p$-adic AdS/CFT, where such a tree takes the place of anti-de Sitter
space. We compute simple correlators of the operator holographically dual to
edge length fluctuations. This operator has dimension equal to the dimension of
the boundary, and it has some features in common with the stress tensor.Comment: 42 pages, 6 figure
Spin partners of the $Z_b(10610)$ and $Z_b(10650)$ revisited

We study the implications of the heavy-quark spin symmetry for the possible
spin partners of the exotic states $Z_b(10610)$ and $Z_b(10650)$ in the
spectrum of bottomonium. We formulate and solve numerically the coupled-channel
equations for the $Z_b$ states that allow for a dynamical generation of these
states as hadronic molecules. The force includes short-range contact terms and
the one-pion exchange potential, both treated fully nonperturbatively. The
strength of the potential at leading order is fixed completely by the pole
positions of the $Z_b$ states such that the mass and the most prominent
contributions to the width of the isovector heavy-quark spin partner states
$W_{bJ}$ with the quantum numbers $J^{++}$ ($J=0,1,2$) come out as predictions.
Since the accuracy of the present experimental data does not allow one to fix
the pole positions of the $Z_b$'s reliably enough, we also study the pole
trajectories of their spin partner states as functions of the $Z_b$ binding
energies. It is shown that, once the heavy-quark spin symmetry is broken by
means of the physical $B$ and $B^*$ masses, especially the pion tensor force
has a significant impact on the location of the partner states clearly
demonstrating the need of a coupled-channel treatment of pion dynamics to
understand the spin multiplet pattern of hadronic molecules.Comment: 21 pages, 5 figures, 1 tabl
Search for lepton flavour violating decays of the Higgs boson to
  $\mu\tau$ and e$\tau$ in proton-proton collisions at $\sqrt{s}=$ 13 TeV

A search for lepton flavour violating decays of the Higgs boson in the
$\mu\tau$ and e$\tau$ decay modes is presented. The search is based on a data
set corresponding to an integrated luminosity of 35.9 fb$^{-1}$ of
proton-proton collisions collected with the CMS detector in 2016, at a
centre-of-mass energy of 13 TeV. No significant excess over the standard model
expectation is observed. The observed (expected) upper limits on the lepton
flavour violating branching fractions of the Higgs boson are
$\mathcal{B}$(H$\to\mu\tau$) < 0.25% (0.25%) and $\mathcal{B}$(H$\to$e$\tau$) <
0.61% (0.37%), at 95% confidence level. These results are used to derive upper
limits on the off-diagonal $\mu\tau$ and e$\tau$ Yukawa couplings
$\sqrt{|{Y_{\mu\tau}}|^{2}+|{Y_{\tau\mu}}|^{2}} < 1.43 \times 10^{-3}$ and
$\sqrt{|{Y_{\mathrm{e}\tau}}|^{2}+|{Y_{\tau\mathrm{e}}}|^{2}} < 2.26 \times
10^{-3}$ at 95% confidence level. The limits on the lepton flavour violating
branching fractions of the Higgs boson and on the associated Yukawa couplings
are the most stringent to date.Comment: Replaced with the published version. Added the journal reference and
  the DOI. All the figures and tables can be found at
  http://cms-results.web.cern.ch/cms-results/public-results/publications/HIG-17-001
  (CMS Public Pages
A New Duality Between $\mathcal{N}=8$ Superconformal Field Theories in
  Three Dimensions

We propose a new duality between two 3d $\mathcal{N}=8$ superconformal
Chern-Simons-matter theories: the $U(3)_1 \times U(3)_{-1}$ ABJM theory and a
theory consisting of the product between the $\left(SU(2)_3\times
SU(2)_{-3}\right)/\mathbb{Z}_2$ BLG theory and a free ${\cal N} = 8$ theory of
eight real scalars and eight Majorana fermions. As evidence supporting this
duality, we show that the moduli spaces, superconformal indices, $S^3$
partition functions, and certain OPE coefficients of BPS operators in the two
theories agree.Comment: 29 pages, 2 figure
Symmetry Breaking Patterns for Inflation

We study inflationary models where the kinetic sector of the theory has a
non-linearly realised symmetry which is broken by the inflationary potential.
We distinguish between kinetic symmetries which non-linearly realise an
internal or space-time group, and which yield a flat or curved scalar manifold.
This classification leads to well-known inflationary models such as monomial
inflation and $\alpha$-attractors, as well as a new model based on fixed
couplings between a dilaton and many axions which non-linearly realises
higher-dimensional conformal symmetries. In this model, inflation can be
realised along the dilatonic direction, leading to a tensor-to-scalar ratio $r
\sim 0.01$ and a spectral index $n_{s} \sim 0.975$. We refer to the new model
as ambient inflation since inflation proceeds along an isometry of an anti-de
Sitter ambient space-time, which fully determines the kinetic sector.Comment: References added, discussion of Wess-Zumino term extende
F-theory and AdS_3/CFT_2 (2,0)

We continue to develop the program initiated in arXiv:1705.04679 of studying
supersymmetric AdS_3 solutions of F-theory and their holographic dual 2d
superconformal field theories, which are dimensional reductions of 4d theories
with varying coupling. Imposing 2d N=(0,2) supersymmetry, we derive the general
conditions on the geometry for Type IIB AdS_3 solutions with varying
axio-dilaton and five-form flux. We discuss a class of solutions, which extend
AdS_3 x T^2 x M_5 Type IIB backgrounds, to F-theory geometries of the type
AdS_3 x K3 x M_5 with varying axio-dilaton characterizing the elliptic fiber of
the K3, and describe their dual field theories. For a specific choice of M_5
this corresponds to a family of solutions that are conjectured to be dual to
twisted compactifications of 4d N=1 Y^{p,q} quiver gauge theories on a curve
with varying coupling. For this setup, we compare the central charges from
holography and field theory and find agreement to subleading order in N.
Requiring enhanced 2d N=(2,2) supersymmetry we find that the axio-dilaton must
be constant. However, if the internal geometry is allowed to be non-compact, we
obtain the most general class of Type IIB AdS_5 solutions with varying
axio-dilaton, i.e. F-theoretic solutions, that are dual to 4d N=1 SCFTs.Comment: 110 pages. v2: Significant additional results added: two new classes
  of F-theory solutions with (0,2) supersymmetry included and compared with
  dual field theorie
Clockwork / Linear Dilaton: Structure and Phenomenology

The linear dilaton geometry in five dimensions, rediscovered recently in the
continuum limit of the clockwork model, may offer a solution to the hierarchy
problem which is qualitatively different from other extra-dimensional scenarios
and leads to distinctive signatures at the LHC. We discuss the structure of the
theory, in particular aspects of naturalness and UV completion, and then
explore its phenomenology, suggesting novel strategies for experimental
searches. In particular, we propose to analyze the diphoton and dilepton
invariant mass spectra in Fourier space in order to identify an approximately
periodic structure of resonant peaks. Among other signals, we highlight
displaced decays from resonantly-produced long-lived states and
high-multiplicity final states from cascade decays of excited gravitons.Comment: 39 pages + appendices, 27 figures; v2: minor improvements; published
  versio
On some universal features of the holographic quantum complexity of bulk singularities

We perform a comparative study of the time dependence of the holographic quantum complexity of some space like singular bulk gravitational backgrounds. This is done by considering the two available notions of complexity, one that relates it to the maximal spatial volume and the other that relates it to the classical action of the Wheeler-de Witt patch. We calculate and compare the leading and the next to leading terms and find some universal features. The complexity decreases towards the singularity for both definitions, for all types of singularities studied. In addition the leading terms have the same quantitative behavior for both definitions in restricted number of cases and the behaviour itself is different for different singular backgrounds. The quantitative details of the next to leading terms, such as their specific form of time dependence, are found not to be universal. They vary between the different cases and between the different bulk definitions of complexity. We also address some technical points inherent to the calculation
All-loop Mondrian Diagrammatics and 4-particle Amplituhedron

Based on 1712.09990 which handles the 4-particle amplituhedron at 3-loop, we
have found an extremely simple pattern, yet far more non-trivial than one might
naturally expect: the all-loop Mondrian diagrammatics. By further simplifying
and rephrasing the key relation of positivity in the amplituhedron setting,
remarkably, we find a completeness relation unifying all diagrams of the
Mondrian types for the 4-particle integrand of planar N=4 SYM to all loop
orders, each of which can be mapped to a simple product following a few plain
rules designed for this relation. The explicit examples we investigate span
from 3-loop to 7-loop order, and based on them, we classify the basic patterns
of Mondrian diagrams into four types: the ladder, cross, brick-wall and spiral
patterns. Interestingly, for some special combinations of ordered subspaces (a
concept defined in the previous work), we find failed exceptions of the
completeness relation which are called "anomalies", nevertheless, they
substantially give hints on the all-loop recursive proof of this relation.
These investigations are closely related to the combinatoric knowledge of
separable permutations and Schroeder numbers, and go even further from a
diagrammatic perspective. For physical relevance, we need to further consider
dual conformal invariance for two basic diagrammatic patterns to correct the
numerator for a local integrand involving one or both of such patterns, while
the denominator encoding its pole structure and also the sign factor, are
already fixed by rules of the completeness relation. With this extra treatment
to ensure the integrals are dual conformally invariant, each Mondrian diagram
can be exactly translated to its corresponding physical loop integrand after
being summed over all ordered subspaces that admit it.Comment: 41 pages, 44 figures, 2 appendices. Figures improved for v
Dark Matter-Neutrino Interaction in Light of Collider and Neutrino
  Telescope Data

We study the DM-neutrino interaction in the framework of simplified model.
The phenomenology of such an interaction are derived. We also investigate the
bound on DM-neutrino interaction from the LHC and neutrino telescopes. We find
that for the case of a scalar dark matter, the LHC gives a stronger bound on
dark matter annihilation cross-section than the neutrino telescopes. However,
for the fermionic dark matter case the neutrino telescopes bounds are more
stringent for dark matter mass, $\gtrsim 200$ MeV. In the case of lower DM
mass, the neutrino telescopes provide better bounds for a light mediator, while
the collider bounds are better for a heavy mediator. Possible UV completions of
the simplified model are briefly discussed.Comment: 23 pages, 12 figures. Add discussion on DM-neutrino interaction.
  References updated. Match JHEP versio
Spinning AdS Loop Diagrams: Two Point Functions

We develop a systematic approach to evaluating AdS loop amplitudes based on
the spectral (or "split") representation of bulk-to-bulk propagators, which
re-expresses loop diagrams in terms of spectral integrals and higher-point tree
diagrams. In this work we focus on 2pt one-loop Witten diagrams involving
totally symmetric fields of arbitrary mass and integer spin. As an application
of this framework, we study the contribution to the anomalous dimension of
higher-spin currents generated by bubble diagrams in higher-spin gauge theories
on AdS.Comment: 54+23 pages, 15 figures. v2: Section 2.2 added with more details on
  the analytic evaluation of anomalous dimensions from bubble diagrams.
  References added, matches published versio
Debye mass in de Sitter space

We calculate the one-loop contributions to the polarization operator for
scalar quantum electrodynamics in different external electromagnetic and
gravitational fields. In the case of gravity, de-Sitter space and its different
patches were considered. It is shown that the Debye mass appears only in the
case of alpha-vacuum in the Expanding Poincare Patch. It can be shown either by
direct computations or by using analytical and casual properties of the
de-Sitter space. Also, the case of constant electric field is considered and
the Debye mass is calculated.Comment: 21 pages, 3 figure
Quantum and Classical Dynamics of Heavy Quarks in a Quark-Gluon Plasma

We derive equations for the time evolution of the reduced density matrix of a
collection of heavy quarks and antiquarks immersed in a quark gluon plasma.
These equations, in their original form, rely on two approximations: the weak
coupling between the heavy quarks and the plasma, the fast response of the
plasma to the perturbation caused by the heavy quarks. An additional
semi-classical approximation is performed. This allows us to recover results
previously obtained for the abelian plasma using the influence functional
formalism. In the case of QCD, specific features of the color dynamics make the
implementation of the semi-classical approximation more involved. We explore
two approximate strategies to solve numerically the resulting equations in the
case of a quark-antiquark pair. One involves Langevin equations with additional
random color forces, the other treats the transition between the singlet and
octet color configurations as collisions in a Boltzmann equation which can be
solved with Monte Carlo techniques.Comment: 62 pages, 14 figure
Probing axions with neutron star inspirals and other stellar processes

In certain models of a QCD axion, finite density corrections to the axion
potential can result in the axion being sourced by large dense objects. There
are a variety of ways to test this phenomenon, but perhaps the most surprising
effect is that the axion can mediate forces between neutron stars that can be
as strong as gravity. These forces can be attractive or repulsive and their
presence can be detected by Advanced LIGO observations of neutron star
inspirals. By a numerical coincidence, axion forces between neutron stars with
gravitational strength naturally have an associated length scale of tens of
kilometers or longer, similar to that of a neutron star. Future observations of
neutron star mergers in Advanced LIGO can probe many orders of magnitude of
axion parameter space. Because the axion is only sourced by large dense
objects, the axion force evades fifth force constraints. We also outline
several other ways to probe this phenomenon using electromagnetic signals
associated with compact objects.Comment: 20 pages, 8 figure
4-particle Amplituhedron at 3-loop and its Mondrian Diagrammatic
  Implication

This article provides a direct calculation of the 4-particle amplituhedron at
3-loop order, by introducing a set of practical tricks. After delicately
rearranging each piece of this calculation, we find a suggestive connection
between positivity conditions and Mondrian diagrams, which will be
quantitatively defined. Such a pattern can be generalized for all Mondrian
diagrams among all those contribute to the 4-particle integrand of planar N=4
SYM to all loop orders, as a subsequent work 1712.09994 will show.Comment: 32 pages, 3 figures, 1 appendix. Figures improved for v
Natural SUSY at LHC with Right-Sneutrino LSP

We study an extension of the minimal supersymmetric standard model (MSSM)
with additional right-handed singlet neutrino superfields. While such an
extension incorporates a mechanism for the neutrino mass, it also opens up the
possibility of having the right-sneutrinos ($\widetilde{\nu}$) as the lightest
supersymmetric particle (LSP). In this work, we focus on the the viability of
rather small ($\lesssim 500$ GeV) higgsino mass parameter ($\mu$), an important
ingredient for "naturalness", in the presence of such a LSP. For simplicity, we
assume that the bino and wino mass parameters are much heavier, thus we only
consider (almost) pure and compressed higgsino-like states, with small
$\mathcal{O}(10^{-2})$ gaugino admixture. Considering only prompt decays of the
higgino-like states, especially the lightest chargino, we discuss the
importance of leptonic channels consisting of up to two leptons with large
missing transverse energy to probe this scenario at the Large Hadron Collider
(LHC). Further, we emphasize on how the gaugino mass parameters, although very
heavy, affects the decay of the low-lying higgsino-like states, thus
significantly affecting the proposed signatures at LHC.Comment: matches published versio
Entanglement Properties of Boundary State and Thermalization

We discuss the regularized boundary state $e^{-\tau_0 H}|B\rangle_a$ on two
aspects in both 2D CFT and higher dimensional free field theory. One is its
entanglement and correlation properties, which exhibit exponential decay in 2D
CFT, the parameter $1/\tau_0$ works as a mass scale. The other concerns with
its time evolution, i.e., $e^{-i tH}e^{-\tau_0 H}|B\rangle_a$. We investigate
the Kubo-Martin-Schwinger (KMS) condition on correlation function of
\emph{local} operators to detect the thermal properties. Interestingly we find
the correlation functions in the initial state $e^{-\tau_0 H}|B\rangle_a$ also
partially satisfy the KMS condition. In the limit $t\to \infty$, the
correlators will exactly satisfy the KMS condition. We generally analyse
quantum quench by a pure state and obtain some constraints on the possible form
of 2-point correlation function in the initial state if assuming they satisfies
KMS condition in the final state . As a byproduct we find in an large $\tau_0$
limit the thermal property of 2-point function in $e^{-\tau_0 H}|B\rangle_a$
also appears.Comment: JHEP version, some conclusions are modifie
Indirect Probe of Electroweakly Interacting Particles at the
  High-Luminosity Large Hadron Collider

Many extensions of the standard model (SM) involve new massive particles
charged under the electroweak gauge symmetry. The electroweakly interacting new
particles affect various SM processes through radiative corrections. We discuss
the possibility of detecting such new particles based on the precise
measurement of the SM processes at high energy hadron colliders. It then turns
out that Drell-Yan processes receive radiative corrections from the
electroweakly interacting particles at the level of ${\cal O}$(0.1-10) %. It is
hence possible to indirectly search for the Higgsino up to the mass of 400 GeV
and the quintet (5-plet) Majorana fermion up to the mass of 1200 GeV at the
high-luminosity running of the Large Hadron Collider, if the systematic
uncertainty associated with the estimation of the SM background becomes lower
than the statistical one.Comment: 11 pages, 4 figure