pinecone/core-2020-05-10-deduplication huggingface dataset:
Singularity-free Next-to-leading Order $\Delta S= 1$ Renormalization
  Group Evolution and $\epsilon_{K}^{\prime}/\epsilon_{K}$ in the Standard
  Model and Beyond

The standard analytic solution of the renormalization group (RG) evolution
for the $\Delta S = 1$ Wilson coefficients involves several singularities,
which complicate analytic solutions. In this paper we derive a singularity-free
solution of the next-to-leading order (NLO) RG equations, which greatly
facilitates the calculation of $\epsilon_K^{\prime}$, the measure of direct
$CP$ violation in $K\to \pi\pi$ decays. Using our new RG evolution and the
latest lattice results for the hadronic matrix elements, we calculate the ratio
$\epsilon_{K}^{\prime}/\epsilon_{K}$ (with $\epsilon_{K}$ quantifying indirect
$CP$ violation) in the Standard Model (SM) at NLO to
$\epsilon_{K}^{\prime}/\epsilon_{K} = (1.06 \pm 5.07) \times 10^{-4} $, which
is $2.8\,\sigma$ below the experimental value. We also present the evolution
matrix in the high-energy regime for calculations of new physics contributions
and derive easy-to-use approximate formulae. We find that the RG amplification
of new-physics contributions to Wilson coefficients of the electroweak penguin
operators is further enhanced by the NLO corrections: If the new contribution
is generated at the scale of 1-10 TeV, the RG evolution between the new-physics
scale and the electroweak scale enhances these coefficients by 50-100 %. Our
solution contains a term of order $\alpha_{EM}^2/\alpha_s^2$, which is
numerically unimportant for the SM case but should be included in studies of
high-scale new-physics.Comment: 42 pages, 2 figures, 6 tables; formulae corrected, numerical results
  almost unchanged, to be published in JHE
Improved jet substructure methods: Y-splitter and variants with grooming

It has recently been demonstrated with Monte Carlo studies that combining the
well-known Y-splitter and trimming techniques gives rise to important gains in
the signal significance achievable for boosted electroweak boson tagging at
high $p_t$. Here we carry out analytical calculations that explain these
findings from first principles of QCD both for grooming via trimming and via
the modified mass-drop tagger (mMDT). We also suggest modifications to
Y-splitter itself, which result in great simplifications to the analytical
results both for pure Y-splitter as well as its combination with general
grooming methods. The modifications also lead to further performance gains,
while making the results largely independent of choice of groomer. We discuss
the implications of these findings in the broader context of optimal methods
for boosted object studies at hadron colliders.Comment: 44 pages, 13 figure
Probing the Higgs self coupling via single Higgs production at the LHC

We propose a method to determine the trilinear Higgs self coupling that is
alternative to the direct measurement of Higgs pair production total cross
sections and differential distributions. The method relies on the effects that
electroweak loops featuring an anomalous trilinear coupling would imprint on
single Higgs production at the LHC. We first calculate these contributions to
all the phenomenologically relevant Higgs production ($gg{\rm F}$, VBF, $WH$,
$ZH$, $t\bar tH$) and decay ($\gamma \gamma$, $WW^{*}/ZZ^{*}\to 4f$, $b\bar b$,
$\tau \tau$) modes at the LHC and then estimate the sensitivity to the
trilinear coupling via a one-parameter fit to the single Higgs measurements at
the LHC 8 TeV. We find that the bounds on the self coupling are already
competitive with those from Higgs pair production and will be further improved
in the current and next LHC runs.Comment: 34 pages, 13 figures, 5 tables; V2: New appendix A added on the
  comparison with the Effective Field Theory approach; V3: Journal versio
Multicomponent Dark Matter from Gauge Symmetry

The composition of Dark Matter (DM) remains an important open question. The
current data do not distinguish between single- and multi-component DM, while
in theory constructions it is often assumed that DM is composed of a single
field. In this work, we study a hidden sector which naturally entails
multicomponent DM consisting of spin-1 and spin-0 states. This UV complete
set-up is based on SU(3) hidden gauge symmetry with the minimal scalar field
content to break it spontaneously. The presence of multiple DM components is a
result of a residual Z_2 x Z'_2 symmetry which is part of an unbroken global
U(1) x Z'_2 inherent in the Yang-Mills systems. We find that the model exhibits
various parametric regimes with drastically different DM detection prospects.
In particular, we find that the direct detection cross section is much
suppressed in large regions of parameter space as long as the Standard Model
Higgs mixes predominantly with a single scalar from the hidden sector. The
resulting scattering rate is often beyond the level of sensitivity of XENON1T,
while still being consistent with the thermal WIMP paradigm.Comment: v2: 25 pages, added references, small text adjustment
Aspects of the Doubled Worldsheet

We clarify the relation between various approaches to the manifestly
T-duality symmetric string. We explain in detail how the PST covariant doubled
string arises from an unusual gauge fixing. We pay careful attention to the
role of "spectator" fields in this process and also show how the T-duality
invariant doubled dilaton emerges naturally. We extend these ideas to
non-Abelian T-duality and show they give rise to the duality invariant
formalism based on the semi-Abelian Drinfeld Double. We then develop the
N=(0,1) supersymmetric duality invariant formalism.Comment: 29 pages; v2: references corrected in introduction; v3: matches
  journal version, references added, very minor changes to tex
One-loop effective actions and higher spins

The idea we advocate in this paper is that the one-loop effective action of a
free (massive) field theory coupled to external sources (via conserved
currents) contains complete information about the classical dynamics of such
sources. We show many explicit examples of this fact for (scalar and fermion)
free field theories in various dimensions $d=3,4,5,6$ coupled to (bosonic,
completely symmetric) sources with a number of spins. In some cases we also
provide compact formulas for any dimension. This paper is devoted to two-point
correlators, so the one-loop effective action we construct contains only the
quadratic terms and the relevant equations of motion for the sources we obtain
are the linearized ones.Comment: 73 pages, typos corrected, section 3 rewritten, comment added in
  section 4, second paragraph added in section 12, Appendix C adde
M-theory Potential from the $G_2$ Hitchin Functional in Superspace

We embed the component fields of eleven-dimensional supergravity into a
superspace of the form $X\times Y$ where $X$ is the standard 4D, $N=1$
superspace and $Y$ is a smooth 7-manifold. The eleven-dimensional 3-form gives
rise to a tensor hierarchy of superfields gauged by the diffeomorphisms of $Y$.
It contains a natural candidate for a $G_2$ structure on $Y$, and being a
complex of superforms, defines a superspace Chern-Simons invariant. Adding to
this a natural generalization of the Riemannian volume on $X\times Y$ and
freezing the (superspin-$\frac32$ and 1) supergravity fields on $X$, we obtain
an approximation to the eleven-dimensional supergravity action that suffices to
compute the scalar potential. In this approximation the action is the sum of
the superspace Chern-Simons term and a superspace generalization of the Hitchin
functional for $Y$ as a $G_2$-structure manifold. Integrating out auxiliary
fields, we obtain the conditions for unbroken supersymmetry and the scalar
potential. The latter reproduces the Einstein-Hilbert term on $Y$ in a form due
to Bryant.Comment: Minor (typographical) errors correcte
On the Exact Interpolating Function in ABJ Theory

Based on the recent indications of integrability in the planar ABJ model, we
conjecture an exact expression for the interpolating function
h(\lambda_1,\lambda_2) in this theory. Our conjecture is based on the
observation that the integrability structure of the ABJM theory given by its
Quantum Spectral Curve is very rigid and does not allow for a simple consistent
modification. Under this assumption, we revised the previous comparison of
localization results and exact all loop integrability calculations done for the
ABJM theory by one of the authors and Grigory Sizov, fixing
h(\lambda_1,\lambda_2). We checked our conjecture against various weak coupling
expansions, at strong coupling and also demonstrated its invariance under the
Seiberg-like duality. This match also gives further support to the
integrability of the model. If our conjecture is correct, it extends all the
available integrability results in the ABJM model to the ABJ model.Comment: 13 pages, 1 figur
Excited and exotic charmonium, $D_s$ and $D$ meson spectra for two light
  quark masses from lattice QCD

We present highly-excited charmonium, $D_s$ and $D$ meson spectra from
dynamical lattice QCD calculations with light quarks corresponding to $M_{\pi}
\sim 240$ MeV and compare these to previous results with $M_{\pi} \sim 400$
MeV. Utilising the distillation framework, large bases of carefully constructed
interpolating operators and a variational procedure, we extract and reliably
identify the continuum spin of an extensive set of excited mesons. These
include states with exotic quantum numbers which, along with a number with
non-exotic quantum numbers, we identify as having excited gluonic degrees of
freedom and interpret as hybrid mesons. Comparing the spectra at the two
different $M_\pi$, we find only a mild light-quark mass dependence and no
change in the overall pattern of states.Comment: 21 pages, 8 figures, minor changes to reflect published versio
Two-Loop SL(2) Form Factors and Maximal Transcendentality

Form factors of composite operators in the SL(2) sector of N=4 SYM theory are
studied up to two loops via the on-shell unitarity method. The non-compactness
of this subsector implies the novel feature and technical challenge of an
unlimited number of loop momenta in the integrand's numerator. At one loop, we
derive the full minimal form factor to all orders in the dimensional
regularisation parameter. At two loops, we construct the complete integrand for
composite operators with an arbitrary number of covariant derivatives, and we
obtain the remainder functions as well as the dilatation operator for composite
operators with up to three covariant derivatives. The remainder functions
reveal curious patterns suggesting a hidden maximal uniform transcendentality
for the full form factor. Finally, we speculate about an extension of these
patterns to QCD.Comment: 23+13 pages, v2: minor changes, published versio
Second-Order Hydrodynamics and Universality in Non-Conformal Holographic
  Fluids

We study second-order hydrodynamic transport in strongly coupled
non-conformal field theories with holographic gravity duals in asymptotically
anti-de Sitter space. We first derive new Kubo formulae for five second-order
transport coefficients in non-conformal fluids in $(3+1)$ dimensions. We then
apply them to holographic RG flows induced by scalar operators of dimension
$\Delta=3$. For general background solutions of the dual bulk geometry, we find
explicit expressions for the five transport coefficients at infinite coupling
and show that a specific combination,
$\tilde{H}=2\eta\tau_\pi-2(\kappa-\kappa^*)-\lambda_2$, always vanishes. We
prove analytically that the Haack-Yarom identity
$H=2\eta\tau_\pi-4\lambda_1-\lambda_2=0$, which is known to be true for
conformal holographic fluids, also holds when taking into account leading
non-conformal corrections. The numerical results we obtain for two specific
families of RG flows suggest that $H$ vanishes regardless of conformal
symmetry. Our work provides further evidence that the Haack-Yarom identity
$H=0$ may be universally satisfied by strongly coupled fluids.Comment: 33 pages + 6 appendices, 5 figures; v2 as published in JHE
Abelian tensor hierarchy and Chern-Simons actions in 4D N=1 conformal
  supergravity

We consider Chern-Simons actions of Abelian tensor hierarchy of $p$-form
gauge fields in four-dimensional ${\cal N}=1$ supergravity. Using conformal
superspace formalism, we solve the constraints on the field strengths of the
$p$-form gauge superfields in the presence of the tensor hierarchy. The
solutions are expressed by the prepotentials of the $p$-form gauge superfields.
We show the internal and superconformal transformation laws of the
prepotentials. The descent formalism for the Chern-Simons actions is exhibited.Comment: 19 page
Constraints on Relaxion Windows

We examine the low energy phenomenology of the relaxion solution to the weak
scale hierarchy problem. Assuming that the Hubble friction is responsible for a
dissipation of the relaxion energy, we identify the cosmological relaxion
window which corresponds to the parameter region compatible with a given value
of the acceptable number of inflationary $e$-foldings. We then discuss a
variety of observational constraints on the relaxion window, including those
from astrophysical and cosmological considerations. We find that majority of
the parameter space with a relaxion mass $m_\phi\gtrsim 100$ eV or a relaxion
decay constant $f\lesssim 10^7$ GeV is excluded by existing constraints. There
is an interesting parameter region with $m_\phi\sim \,0.2-10$ GeV and $f\sim\,
{\rm few}-200$ TeV, which is allowed by existing constraints, but can be probed
soon by future beam dump experiments such as the SHiP experiment, or by
improved EDM experiments.Comment: 27 pages, 4 figures; v4: a minor typo correctio
Entwinement in discretely gauged theories

We develop the notion of entwinement to characterize the amount of quantum
entanglement between internal, discretely gauged degrees of freedom in a
quantum field theory. This concept originated in the program of reconstructing
spacetime from entanglement in holographic duality. We define entwinement
formally in terms of a novel replica method which uses twist operators charged
in a representation of the discrete gauge group. In terms of these twist
operators we define a non-local, gauge-invariant object whose expectation value
computes entwinement in a standard replica limit. We apply our method to the
computation of entwinement in symmetric orbifold conformal field theories in
1+1 dimensions, which have an $S_N$ gauging. Such a theory appears in the weak
coupling limit of the D1-D5 string theory which is dual to AdS$_3$ at strong
coupling. In this context, we show how certain kinds of entwinement measure the
lengths, in units of the AdS scale, of non-minimal geodesics present in certain
excited states of the system which are gravitationally described as conical
defects and the $M=0$ BTZ black hole. The possible types of entwinement that
can be computed define a very large new class of quantities characterizing the
fine structure of quantum wavefunctions.Comment: 28 pages, 4 figures; v2: clarifications and reference added, minor
  typos corrected, published versio
Large Gauge Symmetries and Asymptotic States in QED

Large Gauge Transformations (LGT) are gauge transformations that do not
vanish at infinity. Instead, they asymptotically approach arbitrary functions
on the conformal sphere at infinity. Recently, it was argued that the LGT
should be treated as an infinite set of global symmetries which are
spontaneously broken by the vacuum. It was established that in QED, the Ward
identities of their induced symmetries are equivalent to the Soft Photon
Theorem. In this paper we study the implications of LGT on the S-matrix between
physical asymptotic states in massive QED. In appose to the naively free
scattering states, physical asymptotic states incorporate the long range
electric field between asymptotic charged particles and were already
constructed in 1970 by Kulish and Faddeev. We find that the LGT charge is
independent of the particles' momenta and may be associated to the vacuum. The
soft theorem's manifestation as a Ward identity turns out to be an outcome of
not working with the physical asymptotic states.Comment: 22 pages, 3 figures, v2: major revisio
Two-loop planar master integrals for Higgs$\to 3$ partons with full
  heavy-quark mass dependence

We present the analytic computation of all the planar master integrals which
contribute to the two-loop scattering amplitudes for Higgs$\to 3$ partons, with
full heavy-quark mass dependence. These are relevant for the NNLO corrections
to fully inclusive Higgs production and to the NLO corrections to Higgs
production in association with a jet, in the full theory. The computation is
performed using the differential equations method. Whenever possible, a basis
of master integrals that are pure functions of uniform weight is used. The
result is expressed in terms of one-fold integrals of polylogarithms and
elementary functions up to transcendental weight four. Two integral sectors are
expressed in terms of elliptic functions. We show that by introducing a
one-dimensional parametrization of the integrals the relevant second order
differential equation can be readily solved, and the solution can be expressed
to all orders of the dimensional regularization parameter in terms of iterated
integrals over elliptic kernels. We express the result for the elliptic sectors
in terms of two and three-fold iterated integrals, which we find suitable for
numerical evaluations. This is the first time that four-point multiscale
Feynman integrals have been computed in a fully analytic way in terms of
elliptic functions.Comment: 46 pages, 5 figures, ancillary files provide
Magnetically-Charged Black Branes and Viscosity/Entropy Ratios

We consider asymptotically-AdS $n$-dimensional black brane solutions in a
theory of gravity coupled to a set of $N$ $p$-form field strengths, in which
the field strengths carry magnetic charges. For appropriately chosen charges,
the metrics are isotropic in the $(n-2)$ transverse directions. However, in
general the field strength configurations break the full Euclidean symmetry of
the $(n-2)$-dimensional transverse space. We then study the linearised equation
for transverse traceless metric perturbations in these backgrounds, and by
employing the Kubo formula we obtain expressions for $\eta/S$, the ratio of
shear viscosity to entropy density. We find that the KSS bound on the ratio
$\eta/S$ is generally violated in these solutions. We also extend the
discussion by including also a dilatonic scalar field in the theory, leading to
solutions that are asymptotically Lifshitz with hyperscaling violation.Comment: References added. 21 page
Top-quark pair production at next-to-next-to-leading order QCD in
  electron positron collisions

We set up a formalism, within the antenna subtraction framework, for
computing the production of a massive quark-antiquark pair in electron positron
collisions at next-to-next-to-leading order in the coupling $\alpha_s$ of
quantum chromodynamics at the differential level. Our formalism applies to the
calculation of any infrared-safe observable. We apply this set-up to the
production of top-quark top antiquark pairs in the continuum. We compute the
production cross section and several distributions. We determine, in
particular, the top-quark forward-backward asymmetry at order $\alpha_s^2$. Our
result agrees with previous computations of this observable.Comment: Latex, 33 pages, reference adde
On thermal production of self-interacting dark matter

We consider thermal production mechanisms of self-interacting dark matter in
models with gauged $Z_3$ symmetry. A complex scalar dark matter is stabilized
by the $Z_3$, that is the remnant of a local dark $U(1)_d$. Light dark matter
with large self-interaction can be produced from thermal freeze-out in the
presence of SM-annihilation, SIMP and/or forbidden channels. We show that dark
photon and/or dark Higgs should be relatively light for unitarity and then
assist the thermal freeze-out. We identify the constraints on the parameter
space of dark matter self-interaction and mass in cases that one or some of the
channels are important in determining the relic density.Comment: 26 pages, 11 figures, Version to appear in Journal of High Energy
  Physic
Degenerate higher order scalar-tensor theories beyond Horndeski up to
  cubic order

We present all scalar-tensor Lagrangians that are cubic in second derivatives
of a scalar field, and that are degenerate, hence avoiding Ostrogradsky
instabilities. Thanks to the existence of constraints, they propagate no more
than three degrees of freedom, despite having higher order equations of motion.
We also determine the viable combinations of previously identified quadratic
degenerate Lagrangians and the newly established cubic ones. Finally, we study
whether the new theories are connected to known scalar-tensor theories such as
Horndeski and beyond Horndeski, through conformal or disformal transformations.Comment: 29 pages, published versio
Relaxation from particle production

We consider using particle production as a friction force by which to
implement a "Relaxion" solution to the electroweak hierarchy problem. Using
this approach, we are able to avoid superplanckian field excursions and avoid
any conflict with the strong CP problem. The relaxation mechanism can work
before, during or after inflation allowing for inflationary dynamics to play an
important role or to be completely decoupled.Comment: 12 pages, 1 figures. v2: expanded discussion and reorganized some
  sections; fixed discussion about destruction of the condensate; accepted for
  publication in JHE
Symmetry Constraints in Inflation, $\alpha$-vacua, and the Three Point
  Function

The Ward identities for conformal symmetries in single field models of
inflation are studied in more detail in momentum space. For a class of
generalized single field models, where the inflaton action contains arbitrary
powers of the scalar and its first derivative, we find that the Ward identities
are valid. We also study a one-parameter family of vacua, called
$\alpha$-vacua, which preserve conformal invariance in de Sitter space. We find
that the Ward identities, upto contact terms, are met for the three point
function of a scalar field in the probe approximation in these vacua.
Interestingly, the corresponding non-Gaussian term in the wave function does
not satisfy the operator product expansion. For scalar perturbations in
inflation, in the $\alpha$-vacua, we find that the Ward identities are not
satisfied. We argue that this is because the back-reaction on the metric of the
full quantum stress tensor has not been self-consistently incorporated. We also
present a calculation, drawing on techniques from the AdS/CFT correspondence,
for the three point function of scalar perturbations in inflation in the
Bunch-Davies vacuum.Comment: 51 pages, 3 figures, 6 appendices. v3: JHEP version. Minor typos
  correcte