pinecone/core-2020-05-10-deduplication huggingface dataset:
Black holes as random particles: entanglement dynamics in infinite range
  and matrix models

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
$tbW$ Anomalous Couplings in the Two Higgs Doublet Model

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
Collinearly improved JIMWLK evolution in Langevin form

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
Implications of N=5, 6 superconformal symmetry in three spacetime
  dimensions

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
Dynamical Contents of Unconventional Supersymmetry

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
ADE Spectral Networks

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
Minimal area surfaces dual to Wilson loops and the Mathieu equation

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
Large $N$ topologically twisted index: necklace quivers, dualities, and
  Sasaki-Einstein spaces

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
A combined study of source, detector and matter non-standard neutrino
  interactions at DUNE

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
Higher-order Wilson coefficients for c $\to$ u transitions in the
  Standard Model

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
On the dependence of QCD splitting functions on the choice of the
  evolution variable

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
Toda-like (0,2) mirrors to products of projective spaces

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
AdS/QCD approach to the scale-invariant extension of the standard model
  with a strongly interacting hidden sector

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
RG Domain Wall for the General su(2) Coset Models

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
Asymmetric interiors for small black holes

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
$B\to V\ell^+\ell^-$ in the Standard Model from Light-Cone Sum Rules

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
Naturalness of the relaxion mechanism

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
Geometry of the Scalar Sector

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
On the Higgs cross section at N$^3$LO+N$^3$LL and its uncertainty

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
Generalized geometric vacua with eight supercharges

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
$\eta$ and $\eta'$ decays into lepton pairs

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