pinecone/core-2020-05-10-deduplication huggingface dataset:
Bounds on Operator Dimensions in 2D Conformal Field Theories

We extend the work of Hellerman (arxiv:0902.2790) to derive an upper bound on
the conformal dimension $\Delta_2$ of the next-to-lowest nontrival primary
operator in unitary two-dimensional conformal field theories without chiral
primary operators. The bound we find is of the same form as found for
$\Delta_1$: $\Delta_2 \leq c_{tot}/12 + O(1)$. We find a similar bound on the
conformal dimension $\Delta_3$, and present a method for deriving bounds on
$\Delta_n$ for any $n$, under slightly modified assumptions. For asymptotically
large $c_{tot}$ and fixed $n$, we show that $\Delta_n \leq
\frac{c_{tot}}{12}+O(1)$. We conclude with a brief discussion of the
gravitational implications of these results.Comment: Corrected typos; revised arguments (adding detail) for clarity,
  results unchange
Vector-like leptons: Higgs decays and collider phenomenology

We study the impact of heavy vector-like leptons on several observables in
collider and low-energy physics. These states, present in many well-motivated
extensions of the Standard Model, can induce lepton flavour violation and
non-standard Higgs decays. We study these effects in an effective model
inspired by the composite Higgs scenario. After deriving bounds on the mass and
production cross-section of the vector-like states using recent LHC data on
multilepton searches, we discuss the modification of the Higgs decays to
dilepton, diphoton and $Z\gamma$ final states as well as low-energy observables
like radiative lepton decays, the anomalous magnetic moment of the muon and the
electric dipole moment of the electron. We find several interesting
correlations. In particular, we show that branching fractions of lepton
flavour-violating Higgs decays at an observable level are prohibited due to the
strong bounds on the radiative lepton decays.Comment: 16 pages, 5 figure
Supergravity-matter actions in three dimensions and Chern-Simons terms

We study off-shell N-extended Yang-Mills multiplets coupled to conformal
supergravity in three spacetime dimensions. Superform formulations are
presented for the non-Abelian Chern-Simons actions in the cases N=1, 2, 3, and
the corresponding component actions are explicitly worked out. Such a
Chern-Simons action does not exist for N=4. In the latter case, a superform
formulation is given for the BF term that describes the coupling of two Abelian
vector multiplets with self-dual and anti-self-dual superfield strengths
respectively. The superform results obtained are used to construct linear
multiplet action principles in the cases N=2, 3, 4. The N=3 and N=4 actions are
demonstrated to be universal in the sense that all known off-shell
supergravity-matter systems (with the exception of pure conformal supergravity)
may be described using such an action. Starting from the N=3 and N=4 Abelian
vector multiplets, we also construct composite O(2) multiplets which are
analogues of the four-dimensional construction of an N=2 reduced chiral scalar
engineered from the improved tensor multiplet. Using these composites, we
present the superfield equations of motion for N=3 and N=4 anti-de Sitter and
topologically massive supergravity theories. We also sketch the construction of
a large family of higher derivative couplings for N=3 and N=4 vector
multiplets.Comment: 64 pages; V3: published versio
The capacity of black holes to transmit quantum information

We study the properties of the quantum information transmission channel that
emerges from the quantum dynamics of particles interacting with a black hole
horizon. We calculate the quantum channel capacity in two limiting cases where
a single-letter capacity is known to exist: the limit of perfectly reflecting
and perfectly absorbing black holes. We find that the perfectly reflecting
black hole channel is closely related to the Unruh channel and that its
capacity is non-vanishing, allowing for the perfect reconstruction of quantum
information outside of the black hole horizon. We also find that the
complementary channel (transmitting entanglement behind the horizon) is
entanglement-breaking in this case, with vanishing capacity. We then calculate
the quantum capacity of the black hole channel in the limit of a perfectly
absorbing black hole and find that this capacity vanishes, while the capacity
of the complementary channel is non-vanishing instead. Rather than inviting a
new crisis for quantum physics, this finding instead is in accordance with the
quantum no-cloning theorem, because it guarantees that there are no space-like
surfaces that contain both the sender's quantum state and the receiver's
reconstructed quantum state.Comment: v4: to appear in JHE
Identifying dark matter interactions in monojet searches

We study the discrimination of quark-initiated jets from gluon-initiated jets
in monojet searches for dark matter using the technique of averaged jet energy
profiles. We demonstrate our results in the context of effective field theories
of dark matter interactions with quarks and gluons, but our methods apply more
generally to a wide class of models. Different effective theories of dark
matter and the standard model backgrounds each have a characteristic
quark/gluon fraction for the leading jet. When used in conjunction with the
traditional cut-and-count monojet search, the jet energy profile can be used to
set stronger bounds on contact interactions of dark matter. In the event of a
discovery of a monojet excess at the 14 TeV LHC, contact interactions between
dark matter with quarks or with gluons can be differentiated at the 95%
confidence level. For a given rate at the LHC, signal predictions at direct
detection experiments for different dark matter interactions can span five
orders of magnitude. The ability to identify these interactions allows us to
make a tighter connection between LHC searches and direct detection
experiments.Comment: 24 pages, 8 figure
S-duality constraint on higher-derivative couplings

The Riemann curvature correction to the type II supergravity at
eight-derivative level in string frame is given as
e^{-2\phi}(t_8t_8R^4+\frac{1}{4}\eps_{8}\eps_{8}R^4). For constant dilaton, it
has been extended in the literature to the S-duality invariant form by
extending the dilaton factor in the Einstein frame to the non-holomorphic
Eisenstein series. For non-constant dilaton, however, there are various
couplings in the Einstein frame which are not consistent with the S-duality. By
constructing the tensors $t_{2n}$ from Born-Infeld action, we include the
appropriate Ricci and scalar curvatures as well as the dilaton couplings to
make the above action to be consistent with the S-duality.Comment: 23 pages, Latex file, no figure; v3:some typos correcte
Notes on higher-spin algebras: minimal representations and structure
  constants

The higher-spin (HS) algebras so far known can be interpreted as the
symmetries of the minimal representation of the isometry algebra. After
discussing this connection briefly, we generalize this concept to any classical
Lie algebras and consider the corresponding HS algebras. For sp(2N) and so(N),
the minimal representations are unique so we get unique HS algebras. For sl(N),
the minimal representation has one-parameter family, so does the corresponding
HS algebra. The so(N) HS algebra is what underlies the Vasiliev theory while
the sl(2) one coincides with the 3D HS algebra hs[lambda]. Finally, we derive
the explicit expression of the structure constant of these algebras --- more
precisely, their bilinear and trilinear forms. Several consistency checks are
carried out for our results.Comment: minor corrections, references adde
Flavour physics and flavour symmetries after the first LHC phase

Based on flavour symmetries only, there are two ways to give rise to an
effective description of flavour physics in the quark sector close to the CKM
picture: one is based on $U(3)_q\times U(3)_u\times U(3)_d$ (or equivalent) and
the other on $U(2)_q\times U(2)_u\times U(2)_d$ (or equivalent). In this
context we analyze the current status of flavour physics measurements and we
compare their impact, in the specific case of supersymmetry, with the direct
searches of new particles at the LHC, present or foreseen.Comment: 21 pages, 9 figure
Phenomenology of $E_6$-Inspired Leptophobic $Z'$ Boson at the LHC

We study collider phenomenology of a leptophobic $Z'$ boson existing in eight
scenarios of the $E_6$ grand unified theory, differing in particle embeddings.
We first review the current bound on the $Z'$ mass $m_{Z'}$ based upon the LHC
data of $pp\to t\bar{t}$ process at 8 TeV collisions with an integrated
luminosity of 19.6 fb$^{-1}$. Most scenarios have a lower bound of about 1 TeV.
However, this constraint does not apply to the case where $m_{Z'} < 2 m_t$, and
other methods need to be employed for this lower mass regime. Using existing
UA2 constraints and dijet data at the LHC, we find that only one of the eight
scenarios is excluded at 95\% confidence level. No bound can be obtained from
$Wjj$ and $Zjj$ measurements. We propose to use the photon associated
production of the $Z'$ boson that subsequently decays into a pair of bottom
quarks, $pp\to Z'\gamma \to b\bar{b}\gamma$, at the LHC to explore the
constraints in the lower mass regime. We compute the expected signal
significance as a function of $m_{Z'}$ using detailed simulations of signal and
irreducible background events. We find constraints for two more scenarios using
the 8-TeV data and taking appropriate kinematical cuts. We also show the
discovery reach for each scenario at the 14-TeV LHC machine.Comment: 21 pages, 17 figures, 4 tables, version to appear in JHE
Mayer-Cluster Expansion of Instanton Partition Functions and
  Thermodynamic Bethe Ansatz

In arXiv:0908.4052, Nekrasov and Shatashvili pointed out that the N=2
instanton partition function in a special limit of the Omega-deformation
parameters is characterized by certain thermodynamic Bethe ansatz (TBA) like
equations. In this work we present an explicit derivation of this fact as well
as generalizations to quiver gauge theories. To do so we combine various
techniques like the iterated Mayer expansion, the method of expansion by
regions, and the path integral tricks for non-perturbative summation. The TBA
equations derived entirely within gauge theory have been proposed to encode the
spectrum of a large class of quantum integrable systems. We hope that the
derivation presented in this paper elucidates further this completely new point
of view on the origin, as well as on the structure, of TBA equations in
integrable models.Comment: v2: typos corrected and references added. 27+15 pages, 4 figures; v3:
  preprint number adde
A Fake Split Supersymmetry Model for the 126 GeV Higgs

We consider a scenario where supersymmetry is broken at a high energy scale,
out of reach of the LHC, but leaves a few fermionic states at the TeV scale.
The particle content of the low-energy effective theory is similar to that of
Split Supersymmetry. However, the gauginos and higgsinos are replaced by
fermions carrying the same quantum numbers but having different couplings,
which we call fake gauginos and fake higgsinos. We study the prediction for the
light-Higgs mass in this Fake Split SUSY Model (FSSM). We find that, in
contrast to Split or high-scale supersymmetry, a 126 GeV Higgs boson is easily
obtained even for arbitrarily high values of the supersymmetry scale. For a
supersymmetry scale greater than roughly 100 PeV, the Higgs mass is almost
independent of the supersymmetry scale and the stop mixing parameter, while the
observed value is achieved for tan beta between 1.3 and 1.8 depending on the
gluino mass.Comment: 23 pages, 4 figures; v2: matches published versio
Correlations in double parton distributions: effects of evolution

We numerically investigate the impact of scale evolution on double parton
distributions, which are needed to compute multiple hard scattering processes.
Assuming correlations between longitudinal and transverse variables or between
the parton spins to be present at a low scale, we study how they are affected
by evolution to higher scales, i.e. by repeated parton emission. We find that
generically evolution tends to wash out correlations, but with a speed that may
be slow or fast depending on kinematics and on the type of correlation.
Nontrivial parton correlations may hence persist in double parton distributions
at the high scales relevant for hard scattering processes.Comment: 35 pages, 24 figures; v2: small corrections and improvement
Higher-order scalar interactions and SM vacuum stability

Investigation of the structure of the Standard Model effective potential at
very large field strengths opens a window towards new phenomena and can reveal
properties of the UV completion of the SM. The map of the lifetimes of the
vacua of the SM enhanced by nonrenormalizable scalar couplings has been
compiled to show how new interactions modify stability of the electroweak
vacuum. Whereas it is possible to stabilize the SM by adding Planck scale
suppressed interactions and taking into account running of the new couplings,
the generic effect is shortening the lifetime and hence further destabilisation
of the SM electroweak vacuum. These findings have been illustrated with phase
diagrams of modified SM-like models. It has been demonstrated that
stabilisation can be achieved by lowering the suppression scale of higher order
operators while picking up such combinations of new couplings, which do not
deepen the new minima of the potential. Our results show the dependence of the
lifetime of the electroweak minimum on the magnitude of the new couplings,
including cases with very small couplings (which means very large effective
suppression scale) and couplings vastly different in magnitude (which
corresponds to two different suppression scales).Comment: plain Latex, 9 figure
The Top-Antitop Threshold at the ILC: NNLL QCD Uncertainties

We discuss the top-antitop production cross section near threshold at a
future linear collider accounting for the NNLL QCD corrections to the anomalous
dimension of the leading S-wave production current computed recently within
renormalization-group-improved NRQCD perturbation theory. We argue that the
still unknown soft NNLL mixing corrections are negligible so that the NNLL QCD
corrections to the total cross section can be considered complete for practical
purposes. Based on combined variations of the renormalization and matching
scales and the overall size of the perturbative corrections we estimate that
the NNLL QCD total cross section has a normalization uncertainty of 5% at
threshold. We present results for the total cross section and also for the
experimentally more relevant case, when moderate cuts are imposed on the
reconstructed top and antitop invariant masses.Comment: 23 pages, 7 figures; v2: plots and appendix added, journal versio
BCS instabilities of electron stars to holographic superconductors

We study fermion pairing and condensation towards an ordered state in
strongly coupled quantum critical systems with a holographic AdS/CFT dual. On
the gravity side this is modeled by a system of charged fermion interacting
through a BCS coupling. At finite density such a system has a BCS instability.
We combine the relativistic version of mean-field BCS with the semi-classical
fluid approximation for the many-body state of fermions. The resulting
groundstate is the AdS equivalent of a charged neutron star with a
superconducting core. The spectral function of the fermions confirms that the
ground state is ordered through the condensation of the pair operator. A
natural variant of the BCS star is shown to exist where the gap field couples
Stueckelberg-like to the AdS Maxwell field. This enhances the tendency of the
system to superconduct.Comment: 35 pages, 8 figures; v2, minor change, published versio
Constraints on composite quark partners from Higgs searches

In composite Higgs models, the generation of quark masses requires the
standard model-like quarks to be partially or fully composite states which are
accompanied by composite quark partners. The composite quark partners decay
into a standard model-like quark and an electroweak gauge boson or Higgs boson,
which can be searched for at the LHC. In this article, we study the
phenomenological implications of composite quarks in the minimal composite
Higgs model based on the coset $SO(5)/SO(4)$. We focus on light quark partners
which are embedded in the $SO(4)$ singlet representation. In this case, a
dominant decay mode of the partner quark is into a Higgs boson and a jet, for
which no experimental bounds have been established so far. The presence of
$SO(4)$ singlet partners leads to an enhancement of the di-Higgs production
cross section at the LHC. This will be an interesting experimental signature in
the near future, but, unfortunately, there are no direct bounds available yet
from the experimental analyses. However, we find that the currently available
standard model-like Higgs searches can be used in order to obtain the first
constraints on partially and fully composite quark models with light quark
partners in the $SO(4)$ singlet. We obtain a flavor- and composition parameter
independent bound on the quark partner mass of $M_{U_h} > 310 \mbox{ GeV}$ for
partially composite quark models and $M_{U_h} > 212 \mbox{ GeV}$ for fully
composite quark models.Comment: 23 pages, 7 figures, v2: Discussion on higher-dimensional operators
  included, additional bounds on 5 and 14 plet representations included,
  references adde
Holographic Relaxation of Finite Size Isolated Quantum Systems

We study holographically the out of equilibrium dynamics of a finite size
closed quantum system in 2+1 dimensions, modelled by the collapse of a shell of
a massless scalar field in AdS4. In global coordinates there exists a variety
of evolutions towards final black hole formation which we relate with different
patterns of relaxation in the dual field theory. For large scalar initial data
rapid thermalization is achieved as a priori expected. Interesting phenomena
appear for small enough amplitudes. Such shells do not generate a black hole by
direct collapse, but quite generically an apparent horizon emerges after enough
bounces off the AdS boundary. We relate this bulk evolution with relaxation
processes at strong coupling which delay in reaching an ergodic stage. Besides
the dynamics of bulk fields, we monitor the entanglement entropy, finding that
it oscillates quasi-periodically before final equilibration. The radial
position of the traveling shell is brought into correspondence with the
evolution of the entanglement pattern in the dual field theory. The
entanglement entropy is not only able to portrait the streaming of entangled
excitations, but it is also a useful probe of interaction effects.Comment: 37 pages, 27 figure
Boundary dynamics of asymptotically flat 3D gravity coupled to higher
  spin fields

We construct a two-dimensional action principle invariant under a spin-three
extension of BMS$_3$ group. Such a theory is obtained through a reduction of
Chern-Simons action with a boundary. This procedure is carried out by imposing
a set of boundary conditions obtained from asymptotically flat spacetimes in
three dimensions. When implementing part of this set, we obtain an analog of
chiral WZW model based on a contraction of $sl(3,\mathbb{R}) \times
sl(3,\mathbb{R})$. The remaining part of the boundary conditions imposes
constraints on the conserved currents of the model, which allows to further
reduce the action principle. It is shown that a sector of this latter theory is
related to a flat limit of Toda theory.Comment: 16 pages, no figure
Quantum Portrait of a Black Hole with P\"oschl-Teller Potential

We improve upon the simple model studied by Casadio and Orlandi [JHEP 1308
(2013) 025] for a black hole as a condensate of gravitons. Instead of the
harmonic oscillator potential, the P\"oschl-Teller potential is used, which
allows for a continuum of scattering states. The quantum mechanical model is
embedded into a relativistic wave equation for a complex Klein-Gordon field,
and the charge of the field is interpreted as the gravitational charge (mass)
carried by the graviton condensate.Comment: 12 pages, 1 figure, v2: typos correcte
Quantifying Comparisons of Threshold Resummations

We explore similarities and differences between widely-used threshold
resummation formalisms, employing electroweak boson production as an
instructive example. Resummations based on both full QCD and soft-collinear
effective theory (SCET) share common underlying factorizations and resulting
evolution equations. The formalisms differ primarily in their choices of
boundary conditions for evolution, in moment space for many treatments based on
full QCD, and in momentum space for treatments based on soft-collinear
effective theory. At the level of factorized hadronic cross sections, these
choices lead to quite different expressions. Nevertheless, we can identify a
natural expansion for parton luminosity functions, in which SCET and full QCD
resummations agree for the first term, and for which subsequent terms provide
differences that are small in most cases. We also clarify the roles of the
non-leading resummation constants in the two formalisms, and observe a
relationship of the QCD resummation function $D(\alpha_s)$ to the web
expansion.Comment: 36 pages, 8 figure
Closed String Partition Functions in Toroidal Compactifications of
  Doubled Geometries

We revisit partition functions of closed strings on toroidal backgrounds,
including their $\mathbb{Z}_N$ shift orbifolds in the formalism where the
dimension of the target space is doubled to make T-duality manifest. In such a
T-duality covariant formalism, the constraint equation imposes a form of chiral
factorization. Our computation furnishes a non-trivial consistency check for
the quantum worldsheet theory of the doubled sigma model, when strings are
placed on general toroidal backgrounds. The topological term that mixes the
physical space and its T-dual is crucial in demonstrating that chiral
factorization works, and that we obtain the correct partition function after
imposing the constraints. Finally, we discuss how our results extend to
$\mathcal{N}=1$ worldsheet supersymmetry and string worldsheets of higher
genus.Comment: 42 pages. v2: references and a brief appendix adde
Anomaly inflow and thermal equilibrium

Using the anomaly inflow mechanism, we compute the flavor/Lorentz
non-invariant contribution to the partition function in a background with a
U(1) isometry. This contribution is a local functional of the background
fields. By identifying the U(1) isometry with Euclidean time we obtain a
contribution of the anomaly to the thermodynamic partition function from which
hydrostatic correlators can be efficiently computed. Our result is in line
with, and an extension of, previous studies on the role of anomalies in a
hydrodynamic setting. Along the way we find simplified expressions for
Bardeen-Zumino polynomials and various transgression formulaeComment: 72 pages, 1 figure; v2: slight change to abstract, updated reference