pinecone/core-2020-05-10-deduplication huggingface dataset:
$T \bar{T}$-deformed 2D Quantum Field Theories

It was noticed many years ago, in the framework of massless RG flows, that
the irrelevant composite operator $T \bar{T}$, built with the components of the
energy-momentum tensor, enjoys very special properties in 2D quantum field
theories, and can be regarded as a peculiar kind of integrable perturbation.
Novel interesting features of this operator have recently emerged from the
study of effective string theory models.In this paper we study further
properties of this distinguished perturbation. We discuss how it affects the
energy levels and one-point functions of a general 2D QFT in finite volume
through a surprising relation with a simple hydrodynamic equation. In the case
of the perturbation of CFTs, adapting a result by L\"uscher and Weisz we give a
compact expression for the partition function on a finite-length cylinder and
make a connection with the exact $g$-function method. We argue that, at the
classical level, the deformation naturally maps the action of $N$ massless free
bosons into the Nambu-Goto action in static gauge, in $N+2$ target space
dimensions, and we briefly discuss a possible interpretation of this result in
the context of effective string models.Comment: 27 pages, 2 figures. v2: New references and comments included, minor
  typos correcte
Michel parameters for $\tau$ decays $\tau \rightarrow
  l\nu\bar{\nu}~(l=e,~\mu)$ in a general two Higgs doublet model with
  $\mu-\tau$ flavor violation

In a general two Higgs doublet model (2HDM), the anomaly of muon anomalous
magnetic moment (muon g-2) can be explained by $\mu-\tau$ flavor violating
Yukawa couplings, motivated by the recent CMS excess in Higgs boson decay
$h\rightarrow \mu \tau$. We study Michel parameters for $\tau$ decays $\tau
\rightarrow l \nu \bar{\nu}~(l=e,~\mu)$ in the 2HDM with the lepton flavor
violation, and show that they can be sensitive to the flavor structure as well
as the Lorentz and chiral structures of the model. We find that the correction
to the Michel parameter $\xi_\mu$ in $\tau \rightarrow \mu \nu\bar{\nu}$ is
correlated to the contribution to the muon g-2, and it can be as large as
$10^{-4}-10^{-2}$ in the parameter region where the $\mu-\tau$ flavor violating
Yukawa couplings explain the muon g-2 anomaly. Therefore the precision
measurement of the Michel parameter at the level of $10^{-4}-10^{-2}$ would
significantly probe the interesting parameter space for the solution to the
muon g-2 anomaly.Comment: 16 pages, 2 figure
Evaluating four-loop conformal Feynman integrals by D-dimensional
  differential equations

We evaluate a four-loop conformal integral, i.e. an integral over four
four-dimensional coordinates, by turning to its dimensionally regularized
version and applying differential equations for the set of the corresponding
213 master integrals. To solve these linear differential equations we follow
the strategy suggested by Henn and switch to a uniformly transcendental basis
of master integrals. We find a solution to these equations up to weight eight
in terms of multiple polylogarithms. Further, we present an analytical result
for the given four-loop conformal integral considered in four-dimensional
space-time in terms of single-valued harmonic polylogarithms. As a by-product,
we obtain analytical results for all the other 212 master integrals within
dimensional regularization, i.e. considered in D dimensions.Comment: 10 pages, 2 figure
CHY-Graphs on a Torus

Recently, we proposed a new approach using a punctured Elliptic curve in the
CHY framework in order to compute one-loop scattering amplitudes. In this note,
we further develop this approach by introducing a set of connectors, which
become the main ingredient to build integrands on $\mathfrak{M}_{1,n}$, the
moduli space of n-punctured Elliptic curves. As a particular application, we
study the $\Phi^3$ bi-adjoint scalar theory. We propose a set of rules to
construct integrands on $\mathfrak{M}_{1,n}$ from $\Phi^ 3$ integrands on
$\mathfrak{M}_{0,n}$, the moduli space of n-punctured spheres. We illustrate
these rules by computing a variety of $\Phi^3$ one-loop Feynman diagrams.
Conversely, we also provide another set of rules to compute the corresponding
CHY-integrand on $\mathfrak{M}_{1,n}$ by starting instead from a given $\Phi^
3$ one-loop Feynman diagram. In addition, our results can easily be extended to
higher loops.Comment: 34 pages, 32 figure
Top-philic Scalar Dark Matter with a Vector-like Fermionic Top Partner

We consider a simple extension of the Standard Model with a scalar top-philic
Dark Matter (DM) $S$ coupling, apart from the Higgs portal, exclusively to the
right-handed top quark $t_R$ and a colored vector-like top partner $T$ with a
Yukawa coupling $y_{ST}$ which we call the topVL portal. When the Higgs portal
is closed and $y_{ST}$ is perturbative $ (\lesssim 1)$, $TS\to (W^+b, gt)$,
$SS\to t\bar{t}$ and $T\bar{T}\to (q\bar{q},gg)$ provide the dominant
(co)annihilation contributions to obtain $\Omega_{\rm DM} h^2\simeq 0.12$ in
light, medium and heavy DM mass range, respectively. However, large
$y_{ST}\sim\mathcal{O}(10)$ can make $SS\to gg$ dominate via the loop-induced
coupling $C_{SSgg}$ in the $m_S<m_t$ region. In this model it is the $C_{SSgg}$
coupling that generates DM-nucleon scattering in the direct detection, which
can be large and simply determined by $\Omega_{\rm DM} h^2\simeq 0.12$ when
$SS\to gg$ dominates the DM annihilation. The current LUX results can exclude
the $SS\to gg$ dominating scenario and XENON-1T experiment may further test
$y_{ST}\gtrsim 1$, and $0.5\lesssim y_{ST}\lesssim 1$ may be covered in the
future LUX-ZP experiment. The current indirect detection results from Fermi
gamma-ray observations can also exclude the $SS\to gg$ dominating scenario and
are sensitive to the heavy DM mass region, of which the improved sensitivity by
one order will push DM mass to be above 400, 600, 1000 GeV for $y_{ST}=0.3,
0.5, 1.0$, respectively. $T\bar{T}$ pair produced at the hadron collider will
decay $100\%$ into $t\bar{t}+E^{miss}_T$ signal when kinematically open. The
latest ATLAS 13 TeV 13.2 $\mathrm{fb^{-1}}$ data can excluded $m_T$ between 300
(650) and 1150 (1100) GeV for $m_S$ =40 (400) GeV and the exclusion region can
reach up to $m_S\sim 500$ GeV.Comment: 21 pages, 10 figures, meet the JHEP accepted versio
Higher Spin Black Holes with Soft Hair

We construct a new set of boundary conditions for higher spin gravity,
inspired by a recent "soft Heisenberg hair"-proposal for General Relativity on
three-dimensional Anti-de Sitter. The asymptotic symmetry algebra consists of a
set of affine $\hat u(1)$ current algebras. Its associated canonical charges
generate higher spin soft hair. We focus first on the spin-3 case and then
extend some of our main results to spin-$N$, many of which resemble the spin-2
results: the generators of the asymptotic $W_3$ algebra naturally emerge from
composite operators of the $\hat u(1)$ charges through a twisted Sugawara
construction; our boundary conditions ensure regularity of the Euclidean
solutions space independently of the values of the charges; solutions, which we
call "higher spin black flowers", are stationary but not necessarily
spherically symmetric. Finally, we derive the entropy of higher spin black
flowers, and find that for the branch that is continuously connected to the BTZ
black hole, it depends only on the affine purely gravitational zero modes.
Using our map to $W$-algebra currents we recover well-known expressions for
higher spin entropy. We also address higher spin black flowers in the metric
formalism and achieve full consistency with previous results.Comment: 24 pages, no figure
Lifshitz Hydrodynamics from Lifshitz Black Branes with Linear Momentum

We construct a new class of 4-dimensional z=2 Lifshitz black branes that have
a nonzero linear momentum. These are solutions of an Einstein-Proca-dilaton
model that can be obtained by Scherk-Schwarz circle reduction of AdS_5 gravity
coupled to a free real scalar field. The boundary of a bulk Lifshitz space-time
is a Newton-Cartan geometry. We show that the fluid dual to the moving Lifshitz
black brane leads to a novel form of Lifshitz hydrodynamics on a Newton-Cartan
space-time. Since the linear momentum of the black brane cannot be obtained by
a boost transformation the velocity of the fluid or rather, by boundary
rotational invariance, its magnitude plays the role of a chemical potential.
The conjugate dual variable is mass density. The Lifshitz perfect fluid can be
thought of as arising from a Schroedinger perfect fluid with broken particle
number symmetry.Comment: 26 pages + 20 pages appendi
Anomaly Corrected Heterotic Horizons

We consider supersymmetric near-horizon geometries in heterotic supergravity
up to two loop order in sigma model perturbation theory. We identify the
conditions for the horizons to admit enhancement of supersymmetry. We show that
solutions which undergo supersymmetry enhancement exhibit an sl(2,R) symmetry,
and we describe the geometry of their horizon sections. We also prove a
modified Lichnerowicz type theorem, incorporating $\alpha'$ corrections, which
relates Killing spinors to zero modes of near-horizon Dirac operators.
Furthermore, we demonstrate that there are no AdS2 solutions in heterotic
supergravity up to second order in $\alpha'$ for which the fields are smooth
and the internal space is smooth and compact without boundary. We investigate a
class of nearly supersymmetric horizons, for which the gravitino Killing spinor
equation is satisfied on the spatial cross sections but not the dilatino one,
and present a description of their geometry.Comment: 55 pages, late
Higgs production in association with a top-antitop pair in the Standard
  Model Effective Field Theory at NLO in QCD

We present the results of the computation of the next-to-leading order QCD
corrections to the production cross section of a Higgs boson in association
with a top-antitop pair at the LHC, including the three relevant dimension-six
operators ($O_{t \varphi }, O_{\varphi G}, O_{tG}$) of the standard model
effective field theory. These operators also contribute to the production of
Higgs bosons in loop-induced processes at the LHC, such as inclusive Higgs,
$Hj$ and $HH$ production, and modify the Higgs decay branching ratios for which
we also provide predictions. We perform a detailed study of the cross sections
and their uncertainties at the total as well as differential level and of the
structure of the effective field theory at NLO including renormalisation group
effects. Finally, we show how the combination of information coming from
measurements of these production processes will allow to constrain the three
operators at the current and future LHC runs. Our results lead to a significant
improvement of the accuracy and precision of the deviations expected from
higher-dimensional operators in the SM in both the top-quark and the
Higgs-boson sectors and provide a necessary ingredient for performing a global
EFT fit to the LHC data at NLO accuracy.Comment: typos in figures 7 & 12 correcte
The LPM effect in sequential bremsstrahlung: 4-gluon vertices

The splitting processes of bremsstrahlung and pair production in a medium are
coherent over large distances in the very high energy limit, which leads to a
suppression known as the Landau-Pomeranchuk-Migdal (LPM) effect. In this paper,
we continue study of the case when the coherence lengths of two consecutive
splitting processes overlap (which is important for understanding corrections
to standard treatments of the LPM effect in QCD), avoiding soft-gluon
approximations. In particular, this paper completes the calculation of the rate
for real double gluon bremsstrahlung from an initial gluon with various
simplifying assumptions (thick media; $\hat q$ approximation; and large $N_c$)
by now including processes involving 4-gluon vertices.Comment: 35 pages, 17 figures [changes from v1: minor typo fixes and minor
  referencing updates
The semi-inclusive jet function in SCET and small radius resummation for
  inclusive jet production

We introduce a new kind of jet function: the semi-inclusive jet function
$J_i(z, \omega_J, \mu)$, which describes how a parton $i$ is transformed into a
jet with a jet radius $R$ and energy fraction $z = \omega_J/\omega$, with
$\omega_J$ and $\omega$ being the large light-cone momentum component of the
jet and the corresponding parton $i$ that initiates the jet, respectively.
Within the framework of Soft Collinear Effective Theory (SCET) we calculate
both $J_q(z, \omega_J, \mu)$ and $J_g(z, \omega_J, \mu)$ to the next-to-leading
order (NLO) for cone and anti-k$_{\rm T}$ algorithms. We demonstrate that the
renormalization group (RG) equations for $J_i(z, \omega_J, \mu)$ follow exactly
the usual DGLAP evolution, which can be used to perform the $\ln R$ resummation
for {\it inclusive} jet cross sections with a small jet radius $R$. We clarify
the difference between our RG equations for $J_i(z, \omega_J, \mu)$ and those
for the so-called unmeasured jet functions $J_i(\omega_J, \mu)$, widely used in
SCET for {\it exclusive} jet production. Finally, we present applications of
the new semi-inclusive jet functions to inclusive jet production in $e^+e^-$
and $pp$ collisions. We demonstrate that single inclusive jet production in
these collisions shares the same short-distance hard functions as single
inclusive hadron production, with only the fragmentation functions $D_i^h(z,
\mu)$ replaced by $J_i(z, \omega_J, \mu)$. This can facilitate more efficient
higher-order analytical computations of jet cross sections. We further match
our $\ln R$ resummation at both LL$_{R}$ and NLL$_{R}$ to fixed NLO results and
present the phenomenological implications for single inclusive jet production
at the LHC.Comment: 35 pages, 11 figures, published version at JHE
More on 5d descriptions of 6d SCFTs

We propose new five-dimensional gauge theory descriptions of six-dimensional
$\mathcal{N}=(1,0)$ superconformal field theories arising from type IIA brane
configurations including an $ON^0$-plane. The new five-dimensional gauge
theories may have $SO$, $Sp$, and $SU$ gauge groups and further broaden the
landscape of ultraviolet complete five-dimensional $\mathcal{N}=1$
supersymmetric gauge theories. When we include an $O8^-$-plane in addition to
an $ON^0$-plane, T-duality yields two $O7^-$-planes at the intersections of an
$ON^0$-plane and two $O5^0$-planes. We propose a novel resolution of the
$O7^-$-plane with four D7-branes in such a configuration, which enables us to
obtain three different types of five-dimensional gauge theories, depending on
whether we resolve either none or one or two $O7^-$-planes. Such different
possibilities yield a new five-dimensional duality between a D-type $SU$ quiver
and an $SO-Sp$ quiver theories. We also claim that a twisted circle
compactification of a six-dimensional superconformal field theory may lead to a
five-dimensional gauge theory different from those obtained by a simple circle
compactification.Comment: 41 pages, published versio
Flat structures on the deformations of Gepner chiral rings

We propose a simple method for the computation of the flat coordinates and
Saito primitive forms on Frobenius manifolds of the deformations of Jacobi
rings associated with isolated singularities. The method is based on using a
conjecture about integral representations for the flat coordinates and on the
Saito cohomology theory. This reduces the computation to a simple linear
problem. We consider the case of the deformed Gepner chiral rings. The
knowledge of the flat structures of Frobenius manifolds can be used for exact
solution of the models of the topological conformal field theories
corresponding to these chiral rings.Comment: 17 page
BCJ relations from a new symmetry of gauge-theory amplitudes

We introduce a new set of symmetries obeyed by tree-level gauge-theory
amplitudes involving at least one gluon. The symmetry acts as a
momentum-dependent shift on the color factors of the amplitude. Using the
radiation vertex expansion, we prove the invariance under this color-factor
shift of the $n$-gluon amplitude, as well as amplitudes involving massless or
massive particles in an arbitrary representation of the gauge group with spin
zero, one-half, or one. The Bern-Carrasco-Johansson relations are a direct
consequence of this symmetry.
  We also introduce the cubic vertex expansion of an amplitude, and use it to
derive a generalized-gauge-invariant constraint on the kinematic numerators of
the amplitude. We show that the amplitudes of the bi-adjoint scalar theory are
invariant under the color-factor symmetry, and use this to derive the null
eigenvectors of the propagator matrix.
  We generalize the color-factor shift to loop level, and prove the invariance
under this shift of one-loop $n$-gluon amplitudes in any theory that admits a
color-kinematic-dual representation of numerators. We show that the one-loop
color-factor symmetry implies known relations among the integrands of one-loop
color-ordered amplitudes.Comment: 52 pages, 7 figures; v2: various clarifications, added figures and
  references, published versio
Exact results for ABJ Wilson loops and open-closed duality

We find new exact relations between the partition function and vacuum
expectation values (VEVs) of 1/2 BPS Wilson loops in ABJ theory, which allow us
to predict the large N expansions of the 1/2 BPS Wilson loops from known
results of the partition function. These relations are interpreted as an
open-closed duality where the closed string background is shifted by the
insertion of Wilson loops due to a back-reaction. Using the connection between
ABJ theory and the topological string on local P1 x P1, we explicitly write
down non-trivial relations between open and closed string amplitudes.Comment: 34 page
Distinguishing between MSSM and NMSSM through $\Delta F=2$ processes

We study deviations between MSSM and $Z_3$-invariant NMSSM, with respect to
their predictions in $\Delta F=2 $ processes. We find that potentially
significant effects arise either from the well known double-penguin diagrams,
due to the extra scalar NMSSM states, or from neutralino-gluino box
contributions, due to the extended neutralino sector. Both are discussed to be
effective in the large $\tan\beta$ regime. Enhanced genuine-NMSSM contributions
in double penguins are expected for a light singlet spectrum (CP-even,CP-odd),
while the magnitude of box effects is primarily controlled through singlino
mixing. The latter is found to be typically subleading (but non-negligible) for
$\lambda \lesssim 0.5$, however it can become dominant for $\lambda\sim
\mathcal{O}(1)$. We also study the low $\tan\beta$ regime, where a distinction
between MSSM and NMSSM can come instead due to experimental constraints, acting
differently on the allowed parameter space of each model. To this end, we
incorporate the LHC Run-I limits from $H\rightarrow Z Z$, $A \rightarrow hZ$
and $H^\pm \rightarrow \tau \nu $ non-observation along with Higgs observables
and set (different) upper bounds for new physics contributions in $\Delta F=2 $
processes. We find that a $\sim 25\%$ contribution in $\Delta M_{s(d)}$ is
still possible for MFV models, however such a large effect is nowadays severely
constrained for the case of MSSM, due to stronger bounds on the charged Higgs
masses.Comment: 30 pp. text, 13 pp. appendix. Phrase "Recent limits" replaced by the
  more appropriate "LHC Run-I limits" due to new data becoming available from
  ATLAS, CMS. Note added with a brief discussion on these preliminary results.
  Refs adde
Strong constraints of LUX-2016 results on the natural NMSSM

Given the fact that the relatively light Higgsino mass $\mu$ favored in
natural supersymmetry usually results in a sizable scattering cross section
between the neutralino dark matter and the nucleon, we study the impact of the
recently updated direct detection bounds from LUX experiment, including both
Spin Independent (SI) and Spin Dependent (SD) measurements, on the parameter
space of natural Next-to-Minimal Supersymmetric Standard Model (nNMSSM).
Different from the common impression that the SI bound is stronger than the SD
one, we find that the SD bound is complementary to the SI bound and in some
cases much more powerful than the latter in limiting the nNMSSM scenarios.
After considering the LUX results, nNMSSM is severely limited, e.g. for the
peculiar scenarios of the NMSSM where the next-to-lightest CP-even Higgs
corresponds to the $125 {\rm GeV}$ Higgs boson discovered at the LHC, the
samples obtained in our random scan are excluded by more than $85\%$. By
contrast, the monojet search at the LHC Run-I can not exclude any sample of
nNMSSM. We also investigate the current status of nNMSSM and conclude that,
although the parameter points with low fine tuning are still attainable, they
are distributed in some isolated parameter islands which are difficult to get.
Future dark matter direct search experiments such as XENON-1T will provide a
better test of nNMSSM.Comment: 20 pages, 10 figures, meet JHEP published versio
2D Kac-Moody Symmetry of 4D Yang-Mills Theory

Scattering amplitudes of any four-dimensional theory with nonabelian gauge
group $\mathcal G$ may be recast as two-dimensional correlation functions on
the asymptotic two-sphere at null infinity. The soft gluon theorem is shown,
for massless theories at the semiclassical level, to be the Ward identity of a
holomorphic two-dimensional $\mathcal G$-Kac-Moody symmetry acting on these
correlation functions. Holomorphic Kac-Moody current insertions are positive
helicity soft gluon insertions. The Kac-Moody transformations are a $CPT$
invariant subgroup of gauge transformations which act nontrivially at null
infinity and comprise the four-dimensional asymptotic symmetry group.Comment: 18 pages; v2: Corrected typos; v3: Added references and a footnot
Non-standard interactions and the CP phase measurements in neutrino
  oscillations at low energies

We study the effects of non-standard interactions (NSI) and the genuine CP
phase $\delta_D$ in neutrino oscillations at low, $E_\nu \lesssim
1\,\mbox{GeV}$, and very low, $E_\nu \lesssim 0.1\,\mbox{GeV}$, energies. For
experimental setup with baseline and neutrino energy tuned to the first 1-3
oscillation maximum, we develop a simple analytic formalism to show the effects
of NSI. The vacuum mimicking and its violation as well as the use of the
separation basis play a central role in our formalism. The NSI corrections that
affect the CP phase measurement mainly come from the violation of vacuum
mimicking as well as from the corrections to the 1-3 mixing angle and
mass-squared difference. We find that the total NSI correction to the $\nu_\mu
- \nu_e$ probability $P_{\mu e}$ can reach $20\% - 30\%$ ($1 \sigma$) at
T2(H)K. Correspondingly, the correction to the CP phase can be as large as
$50^\circ$ and hence significantly deteriorates the CP sensitivity at T2(H)K.
The proposed TNT2K experiment, a combination of T2(H)K and the short baseline
experiment $\mu$Kam that uses the Super-K/Hyper-K detector at Kamioka to
measure the oscillation of the antineutrinos from muon decay at rest
($\mu$DAR), can substantially reduce the degeneracy between NSI and the genuine
CP phase $\delta_D$ to provide high CP sensitivity. The NSI correction to
$P_{\mu e}$ is only $2\%$ ($1 \sigma$) for $\mu$DAR neutrinos.Comment: The signs of the CP phases in analytic expressions are changed while
  the conclusions are unchange