pinecone/core-2020-05-10-deduplication huggingface dataset:
Modular Properties of 3D Higher Spin Theory

In the three-dimensional sl(N) Chern-Simons higher-spin theory, we prove that
the conical surplus and the black hole solution are related by the
S-transformation of the modulus of the boundary torus. Then applying the
modular group on a given conical surplus solution, we generate a 'SL(2,Z)'
family of smooth constant solutions. We then show how these solutions are
mapped into one another by coordinate transformations that act non-trivially on
the homology of the boundary torus. After deriving a thermodynamics that
applies to all the solutions in the 'SL(2,Z)' family, we compute their
entropies and free energies, and determine how the latter transform under the
modular transformations. Summing over all the modular images of the conical
surplus, we write down a (tree-level) modular invariant partition function.Comment: 51 pages; v2: minor corrections and additions; v3: final version, to
  appear in JHE
Running couplings with a vanishing scale anomaly

Running couplings can be understood as arising from the spontaneous breaking
of an exact scale invariance in appropriate effective theories with no
dilatation anomaly. Any ordinary quantum field theory, even if it has massive
fields, can be embedded into a theory with spontaneously broken exact scale
invariance in such a way that the ordinary running is recovered in the
appropriate limit, as long as the potential has a flat direction. These
scale-invariant theories, however, do not necessarily solve the cosmological
constant or naturalness problems, which become manifest in the need to
fine-tune dimensionless parameters.Comment: 24 pages. v2, v3: Added references, improved discussions. v4:
  Published versio
Gauge Theory Dynamics and Kahler Potential for Calabi-Yau Complex Moduli

We compute the exact two-sphere partition function and matrix of two-point
functions of operators in the chiral ring with their complex conjugates in
two-dimensional supersymmetric gauge theories. For gauge theories that flow in
the infrared to a Calabi-Yau nonlinear sigma model, these renormalization group
invariant observables determine the exact Kahler potential and associated
Zamolodchikov metric in the complex structure moduli space of the Calabi-Yau
manifold.Comment: 36 pages, LaTeX, with minor correction
Partition Functions and Stability Criteria of Topological Insulators

The non-chiral edge excitations of quantum spin Hall systems and topological
insulators are described by means of their partition function. The stability of
topological phases protected by time-reversal symmetry is rediscussed in this
context and put in relation with the existence of discrete anomalies and the
lack of modular invariance of the partition function. The $\Z_2$
characterization of stable topological insulators is extended to systems with
interacting and non-Abelian edge excitations.Comment: 41 pages, 7 figure
Stability of the CMSSM against sfermion VEVs

The recent discovery of a Higgs boson by the LHC experiments has profound
implications for supersymmetric models. In particular, in the context of
restricted models, such as the supergravity-inspired constrained minimal
supersymmetric standard model, one finds that preferred regions in parameter
space have large soft supersymmetry-breaking trilinear couplings. This
potentially gives rise to charge- and/or color-breaking minima besides those
with the correct breaking of $SU(2)_L \times U(1)_Y$. We investigate the
stability of parameter points in this model against tunneling to possible
deeper color- and/or charge-breaking minima of the one-loop effective
potential. We find that allowed regions of the parameter space with light staus
or with light stops are seriously constrained by the requirement that the
tunneling time out of the normal electroweak-symmetry-breaking vacuum is more
than a fifth of the age of the known Universe. We also find that "thumb rule"
conditions on Lagrangian parameters based on specific directions in the
tree-level potential are of limited use.Comment: 30 pages, 14 figures. V2: as published in JHEP (+1 extra ref.); while
  awaiting review, code error was found and tunneling times had to be re-done.
  Main results unchanged: quick tunneling to CCB minima restricts relevant
  parameter space; no analytic formula finds points with CCB global minima
  well. However, parameter space allowed by long tunneling times is larger:
  stau co-annihilation seems saf
Massive Nonplanar Two-Loop Maximal Unitarity

We explore maximal unitarity for nonplanar two-loop integrals with up to four
massive external legs. In this framework, the amplitude is reduced to a basis
of master integrals whose coefficients are extracted from maximal cuts. The
hepta-cut of the nonplanar double box defines a nodal algebraic curve
associated with a multiply pinched genus-3 Riemann surface. All possible
configurations of external masses are covered by two distinct topological
pictures in which the curve decomposes into either six or eight Riemann
spheres. The procedure relies on consistency equations based on vanishing of
integrals of total derivatives and Levi-Civita contractions. Our analysis
indicates that these constraints are governed by the global structure of the
maximal cut. Lastly, we present an algorithm for computing generalized cuts of
massive integrals with higher powers of propagators based on the Bezoutian
matrix method.Comment: 54 pages, 9 figures, v2: journal versio
Connections, Field Redefinitions and Heterotic Supergravity

We study heterotic supergravity at $\mathcal{O}(\alpha')$, first described in
detail in 1989 by Bergshoeff and de Roo. In particular, we discuss an ambiguity
of a connection choice on the tangent bundle. It is well known that at
$\mathcal{O}(\alpha')$ the Hull connection gives a consistent supergravity
theory with supersymmetry transformations given in the usual way. We consider
deformations of this connection corresponding to field redefinitions, and the
necessary corrections to the supersymmetry transformations. We are interested
in the moduli space of such field redefinitions which allow for supersymmetric
solutions to the equations of motion. We show that for solutions on $M_4\times
X$, where $M_4$ is Minkowski and $X$ is compact, the moduli space of
infinitesimal field redefinitions is given by $H^{(0,1)}(X,\textrm{End}(TX))$.
This space corresponds to infinitesimally close connections for which the
equations of motion are satisfied. The setup suggests a symmetry between the
gauge connection and the tangent bundle connection, as also employed by
Bergshoeff and de Roo. We argue that this symmetry should be kept to higher
orders in $\alpha'$, and propose a natural choice for the corresponding tangent
bundle connection used in curvature computations. In particular, the Hull
connection should be corrected at second and higher orders in $\alpha'$ from
this point of view.Comment: 30 pages, minor corrections and changes, explanations adde
`Stop' that ambulance! New physics at the LHC?

A number of LHC searches now display intriguing excesses. Most prominently,
the measurement of the $W^+W^-$ cross-section has been consistently $\sim 20\%$
higher than the theoretical prediction across both ATLAS and CMS for both 7 and
8 TeV runs. More recently, supersymmetric searches for final states containing
two or three leptons have also seen more events than predicted in certain
signal regions. We show that a supersymmetric model containing a light stop,
winos and binos can consistently match the data. We perform a fit to all
measurements and searches that may be sensitive to our model and find a
reduction in the log-likelihood of 15.4 compared to the Standard Model which
corresponds to 3.5-$\sigma$ once the extra degrees of freedom in the fit are
considered.Comment: 19 pages, 5 Figures. v3: minor corrections, to appear at JHE
Two Virasoro symmetries in stringy warped AdS$_3$

We study three-dimensional consistent truncations of type IIB supergravity
which admit warped AdS$_3$ solutions. These theories contain subsectors that
have no bulk dynamics. We show that the symplectic form for these theories,
when restricted to the non-dynamical subsectors, equals the symplectic form for
pure Einstein gravity in AdS$_3$. Consequently, for each consistent choice of
boundary conditions in AdS$_3$, we can define a consistent phase space in
warped AdS$_3$ with identical conserved charges. This way, we easily obtain a
Virasoro $\times$ Virasoro asymptotic symmetry algebra in warped AdS$_3$; two
different types of Virasoro $\times$ Ka\v{c}-Moody symmetries are also
consistent alternatives.
  Next, we study the phase space of these theories when propagating modes are
included. We show that, as long as one can define a conserved symplectic form
without introducing instabilities, the Virasoro $\times$ Virasoro asymptotic
symmetries can be extended to the entire (linearized) phase space. This implies
that, at least at semi-classical level, consistent theories of gravity in
warped AdS$_3$ are described by a two-dimensional conformal field theory, as
long as stability is not an issue.Comment: 41 pages, 1 figur
Limits on Vectorlike Leptons from Searches for Anomalous Production of
  Multi-Lepton Events

We consider extensions of the Standard Model by vectorlike leptons and set
limits on a new charged lepton, $e_4^\pm$, using the ATLAS search for anomalous
production of multi-lepton events. It is assumed that only one Standard Model
lepton, namely the muon, dominantly mixes with vectorlike leptons resulting in
possible decays $e_4^\pm \to W^\pm \nu_\mu$, $e_4^\pm \to Z\mu^\pm$, and
$e_4^\pm \to h \mu^\pm$. We derive generally applicable limits on the new
lepton treating the branching ratios for these processes as free variables. We
further interpret the general limits in two scenarios with $e_4^\pm$
originating predominantly from either the $SU(2)$ doublet or the $SU(2)$
singlet. The doublet case is more constrained as a result of larger production
cross-section and extra production processes $e_4^\pm \nu_4$ and $\nu_4\nu_4$
in addition to $e_4^+ e_4^-$, where $\nu_4$ is a new neutral state accompanying
$e_4$. We find that some combinations of branching ratios are poorly
constrained, whereas some are constrained up to masses of more than 500 GeV. In
the doublet case, assuming BR$(\nu_4\rightarrow W\mu) = 1$, all masses below
about 300 GeV are ruled out. Even if this condition is relaxed and additional
decay modes, $\nu_4 \to Z \nu_\mu$ and $\nu_4 \to h \nu_\mu$, are allowed,
below the Higgs threshold still almost all of the parameter space (of
independent branching ratios) is ruled out. Nevertheless, even assuming the
maximal production cross-section, which coincides with the doublet case, the
new charged lepton can still be as light as the LEP-II limit allows. We discuss
several possible improvements of current experimental analyses that would
dramatically reduce the allowed parameter space, even with current data.Comment: 24 pages, 11 figure
Three-form multiplet and Inflation

Most successful models of inflation in supergravity have a shift symmetry for
the inflaton and contain a stabilizer field coupled to the inflaton in a
particular way. We argue that the natural interpretation of the stabilizer,
from the viewpoint of the shift symmetry, is a three-form multiplet. Its
coupling to the inflaton is uniquely determined by the shift symmetry and the
invariance under three-form gauge transformations and has a natural string
theory interpretation.Comment: 15 pages, references adde
High-Energy Gravitational Scattering and Bose-Einstein Condensates of
  Gravitons

Quantum black holes are difficult to describe. We consider two seemingly
divergent approaches, high-energy scattering and the proposal to regard black
holes as Bose-Einstein condensates of gravitons, and establish a connection
between them. High-energy scattering is studied in the eikonal approximation,
which is processed further by a saddle-point approximation. The dominant
contribution to the scattering amplitude comes from a ladder diagram with the
exchange of N gravitons, and the number of gravitons follows a Poisson
distribution. This approximation supports the picture of a graviton
Bose-Einstein condensate with an extent equal the Schwarzschild radius, which
grows with N in a way determined by the saddle point. The approach permits
calculations of 1 / N corrections from the fluctuations around the saddle
points and we comment on these. Scattering methods might be useful probes of
quantum black holes, especially when interpreted in terms of condensates.Comment: 8 pages, 1 figur
Photoproduction of doubly heavy baryon at the ILC

In the present paper, we make a detailed study on the doubly heavy baryon
photoproduction in the future $e^+e^-$ International Linear Collider (ILC). The
baryons $\Xi_{cc}$, $\Xi_{bc}$, and $\Xi_{bb}$ are produced via the channel
$\gamma \gamma \to \Xi_{QQ'} +\bar{Q'} +\bar{Q}$, where $Q$ and $Q'$ stand for
heavy $c$ or $b$ quark, respectively. As for the $\Xi_{QQ'}$-baryon production,
it shall first generate a $(QQ')[n]$-diquark and then form the final baryon via
fragmentation, where $[n]$ stands for the color- and spin- configurations for
the $(QQ')$-diquark states. According to the non-relativistic QCD theory, four
diquark configurations shall provide sizable contributions to the baryon
production, e.g., $[n]$ equals $[^3S_1]_{\bar{\textbf{3}}}$,
$[^1S_0]_{\textbf{6}}$, $[^3S_1]_{\textbf{6}}$, or
$[^1S_0]_{\bar{\textbf{3}}}$, respectively. We adopt the improved helicity
amplitude approach for the hard scattering amplitude to improve the calculation
efficiency. Total and differential cross sections of those channels, as well as
the theoretical uncertainties, are presented. We show that sizable amounts of
baryon events can be generated at the ILC, i.e., about $2.0\times 10^{6}$
$\Xi_{cc}$, $2.2\times 10^{5}$ $\Xi_{bc}$, as well as $3.0\times
10^{3}\;\Xi_{bb}$ events are to be generated in one operation year for
$\sqrt{S}=500$ GeV and ${\cal L}\simeq 10^{36}$cm$^{-2}$s$^{-1}$.Comment: 8 pages, 6 figures. Discussions improved and references updated. To
  be published in JHE
On Perturbation theory improved by Strong coupling expansion

In theoretical physics, we sometimes have two perturbative expansions of
physical quantity around different two points in parameter space. In terms of
the two perturbative expansions, we introduce a new type of smooth
interpolating function consistent with the both expansions, which includes the
standard Pad\'e approximant and fractional power of polynomial method
constructed by Sen as special cases. We point out that we can construct
enormous number of such interpolating functions in principle while the "best"
approximation for the exact answer of the physical quantity should be unique
among the interpolating functions. We propose a criterion to determine the
"best" interpolating function, which is applicable except some situations even
if we do not know the exact answer. It turns out that our criterion works for
various examples including specific heat in two-dimensional Ising model,
average plaquette in four-dimensional SU(3) pure Yang-Mills theory on lattice
and free energy in c=1 string theory at self-dual radius. We also mention
possible applications of the interpolating functions to system with phase
transition.Comment: 31+11 pages, 15 figures, 9 tables, 1 Mathematica file; v3: minor
  correction
Generalized Uncertainty Principle: Implications for Black Hole
  Complementarity

At the heart of the black hole information loss paradox and the firewall
controversy lies the conflict between quantum mechanics and general relativity.
Much has been said about quantum corrections to general relativity, but much
less in the opposite direction. It is therefore crucial to examine possible
corrections to quantum mechanics due to gravity. Indeed, the Heisenberg
Uncertainty Principle is one profound feature of quantum mechanics, which
nevertheless may receive correction when gravitational effects become
important. Such generalized uncertainty principle [GUP] has been motivated from
not only quite general considerations of quantum mechanics and gravity, but
also string theoretic arguments. We examine the role of GUP in the context of
black hole complementarity. We find that while complementarity can be violated
by large N rescaling if one assumes only the Heisenberg's Uncertainty
Principle, the application of GUP may save complementarity, but only if certain
N-dependence is also assumed. This raises two important questions beyond the
scope of this work, i.e., whether GUP really has the proposed form of
N-dependence, and whether black hole complementarity is indeed correct.Comment: Added footnote 5; version accepted by JHE
NNLL resummation for squark and gluino production at the LHC

We perform the resummation of soft-gluon emissions for squark and gluino
production at next- to-next-to-leading-logarithmic (NNLL) accuracy. We include
also the one-loop hard matching coefficients as well as Coulomb corrections to
second order, using Mellin-moment methods. We study the characteristics of this
resummation in detail for a centre-of-mass (CM) energy of 8 TeV at the LHC, and
for squark and gluino masses up to 2.5 TeV. We find significant enhancing
effects for all four processes of squark- and gluino-pair production. Scale
dependence is generally reduced compared to NLL resummation, except for
gluino-pair production where we find a moderate enhancement.Comment: 23 pages, 6 figures; added one table and modified figure
Maximally Symmetric Two Higgs Doublet Model with Natural Standard Model
  Alignment

We study the Higgs mass spectrum as predicted by a Maximally Symmetric Two
Higgs Doublet Model (MS-2HDM) potential based on the SO(5) group, softly broken
by bilinear Higgs mass terms. We show that the lightest Higgs sector resulting
from this MS-2HDM becomes naturally aligned with that of the Standard Model
(SM), independently of the charged Higgs boson mass and $\tan \beta$. In the
context of Type-II 2HDM, SO(5) is the simplest of the three possible symmetry
realizations of the scalar potential that can naturally lead to the SM
alignment. Nevertheless, renormalization group effects due to the hypercharge
gauge coupling $g'$ and third-generation Yukawa couplings may break sizeably
this SM alignment, along with the custodial symmetry inherited by the SO(5)
group. Using the current Higgs signal strength data from the LHC, which
disfavour large deviations from the SM alignment limit, we derive lower mass
bounds on the heavy Higgs sector as a function of $\tan\beta$, which can be
stronger than the existing limits for a wide range of parameters. In
particular, we propose a new collider signal based on the observation of four
top quarks to directly probe the heavy Higgs sector of the MS-2HDM during the
run-II phase of the LHC.Comment: 36 pages, 12 figures; corrected typos in Appendix
Propagating gravitons vs. dark matter in asymptotically safe quantum
  gravity

Within the Asymptotic Safety scenario, we discuss whether Quantum Einstein
Gravity (QEG) can give rise to a semi-classical regime of propagating physical
gravitons (gravitational waves) governed by an effective theory which complies
with the standard rules of local quantum field theory. According to earlier
investigations based on single-metric truncations there is a tension between
this requirement and the condition of Asymptotic Safety since the former
(latter) requires a positive (negative) anomalous dimension of Newton's
constant. We show that the problem disappears using the bi-metric
renormalization group flows that became available recently: They admit an
asymptotically safe UV limit and, at the same time, a genuine semi-classical
regime with a positive anomalous dimension. This brings the gravitons of QEG on
a par with arbitrary (standard model, etc.) particles which exist as asymptotic
states. We also argue that metric perturbations on almost Planckian scales
might not be propagating, and we propose an interpretation as a form of `dark
matter'.Comment: 12 figures; further discussions adde
Low mass thermal dilepton production at NLO in a weakly coupled quark-gluon plasma

We present a computation, within weakly-coupled thermal QCD, of the production rate of low invariant mass ( M 2 ~ g 2 T 2 ) dileptons, at next-to-leading order (NLO) in the coupling (which is O g 3 e 2 T 2 $$ \mathcal{O}\left({g}^3{e}^2{T}^2\right) $$ ). This involves extending the NLO calculation of the photon rate which we recently presented to the case of small nonzero photon invariant mass. Numerical results are discussed and tabulated forms and code are provided for inclusion in hydrodynamical models. We find that NLO corrections can increase the dilepton rate by up to 30–40% relative to leading order. We find that the electromagnetic response of the plasma for real photons and for small invariant mass but high energy dilepton pairs (e.g., M 2 < (300 MeV) 2 but p T > 1 GeV) are close enough that dilepton pair measurements really can serve as ersatz photon measurements. We also present a matching a la Ghisoiu and Laine between our results and results at larger invariant masses
Classical irregular block, N=2 pure gauge theory and Mathieu equation

Combining the semiclassical/Nekrasov-Shatashvili limit of the AGT conjecture
and the Bethe/gauge correspondence results in a triple correspondence which
identifies classical conformal blocks with twisted superpotentials and then
with Yang-Yang functions. In this paper the triple correspondence is studied in
the simplest, yet not completely understood case of pure SU(2) super-Yang-Mills
gauge theory. A missing element of that correspondence is identified with the
classical irregular block. Explicit tests provide a convincing evidence that
such a function exists. In particular, it has been shown that the classical
irregular block can be recovered from classical blocks on the torus and sphere
in suitably defined decoupling limits of classical external conformal weights.
These limits are "classical analogues" of known decoupling limits for
corresponding quantum blocks. An exact correspondence between the classical
irregular block and the SU(2) gauge theory twisted superpotential has been
obtained as a result of another consistency check. The latter determines the
spectrum of the 2-particle periodic Toda (sin-Gordon) Hamiltonian in accord
with the Bethe/gauge correspondence. An analogue of this statement is found
entirely within 2d CFT. Namely, considering the classical limit of the null
vector decoupling equation for the degenerate irregular block a celebrated
Mathieu's equation is obtained with an eigenvalue determined by the classical
irregular block. As it has been checked this result reproduces a well known
weak coupling expansion of Mathieu's eigenvalue. Finally, yet another new
formulae for Mathieu's eigenvalue relating the latter to a solution of certain
Bethe-like equation are found.Comment: 47 pages, 3 figure
Wγ production in hadronic collisions using the POWHEG+MiNLO method

We detail a calculation of W γ production in hadronic collision, at Next-to- Leading Order (NLO) QCD interfaced to a shower generator according to the POWHEG prescription supplemented with the MiNLO procedure. The fixed order result is matched to an interleaved QCD+QED parton shower, in such a way that the contribution arising from hadron fragmentation into photons is fully modeled. In general, our calculation illustrates a new approach to the fully exclusive simulation of prompt photon production processes accurate at the NLO level in QCD. We compare our predictions to those of the NLO program MCFM, which treats the fragmentation contribution in terms of a photon fragmentation functions. We also perform comparisons to available LHC data at 7 TeV, for which we observe good agreement, and provide phenomenological results for physics studies of the W γ production process at the Run II of the LHC. The new tool, which includes W leptonic decays and the contribution of anomalous gauge couplings, allows a fully exclusive, hadron-level description of the W γ process, and is publicly available at the repository of the POWHEG BOX. Our approach can be easily adapted to deal with other relevant isolated photon production processes in hadronic collisions