pinecone/core-2020-05-10-deduplication huggingface dataset:
$B^0_s \to \ell^+ \ell^- \gamma$ as a Test of Lepton Flavor Universality

We discuss a number of strategies to reduce the $\mathcal B(B^0_s \to
\ell^{+} \ell^{-} \gamma)$ theoretical error, and make such a measurement a new
probe of the interactions that are interesting in the light of present-day
flavor discrepancies. In particular, for low di-lepton invariant mass we
propose to exploit the close parenthood between $\mathcal B(B^0_s \to \ell^{+}
\ell^{-} \gamma)$ and the measured $\mathcal B(B^0_s \to \phi (\to K^+ K^-)
\gamma)$. For high $q^2$, conversely, we exploit the fact that the decay is
dominated by two form-factor combinations, plus contributions from broad
charmonium that we model accordingly. We construct the ratio $R_\gamma$, akin
to $R_K$ and likewise sensitive to lepton-universality violation. Provided the
two rates in this ratio are integrated in a suitable region that minimises
bremsstrahlung contributions while maximising statistics, the ratio is very
close to unity and the form-factor dependence cancels to an extent that makes
it a new valuable probe of lepton-universality violating contributions in the
effective Hamiltonian. We finally speculate on additional ideas to extract
short-distance information from resonance regions, which are theoretically
interesting but statistically limited at present.Comment: 21 pages, 4 figures. v4: in appendix removed equation already present
  in main tex
Positivity bounds on gluon TMDs for hadrons of spin $\le$ 1

We consider the transverse momentum dependent gluon distribution functions
(called gluon TMDs) by studying the light-front gluon-gluon correlator,
extending the results for unpolarized and vector polarized targets to also
include tensor polarized targets -- the latter type of polarization is relevant
for targets of spin $\ge1$. The light-front correlator includes
process-dependent gauge links to guarantee color gauge invariance. As from the
experimental side the gluon TMDs are largely unknown, we present positivity
bounds for combinations of leading-twist gluon distributions that may be used
to estimate their maximal contribution to observables. Since the gluonic
content of hadrons is particularly relevant in the small-$x$ kinematic region,
we also study these bounds in the small-$x$ limit for the dipole-type gauge
link structure using matrix elements of a single Wilson loop.Comment: 10 page
Emergent Phase Space Description of Unitary Matrix Model

We show that large $N$ phases of a $0$ dimensional generic unitary matrix
model (UMM) can be described in terms of topologies of two dimensional droplets
on a plane spanned by eigenvalue and number of boxes in Young diagram.
Information about different phases of UMM is encoded in the geometry of
droplets. These droplets are similar to phase space distributions of a unitary
matrix quantum mechanics (UMQM) ($(0 + 1)$ dimensional) on constant time
slices. We find that for a given UMM, it is possible to construct an effective
UMQM such that its phase space distributions match with droplets of UMM on
different time slices at large $N$. Therefore, large $N$ phase transitions in
UMM can be understood in terms of dynamics of an effective UMQM. From the
geometry of droplets it is also possible to construct Young diagrams
corresponding to $U(N)$ representations and hence different large $N$ states of
the theory in momentum space. We explicitly consider two examples : single
plaquette model with $\text{Tr} U^2$ terms and Chern-Simons theory on $S^3$. We
describe phases of CS theory in terms of eigenvalue distributions of unitary
matrices and find dominant Young distributions for them.Comment: 52 pages, 15 figures, v2 Introduction and discussions extended,
  References adde
Basic quantizations of $D=4$ Euclidean, Lorentz, Kleinian and
  quaternionic $\mathfrak{o}^{\star}(4)$ symmetries

We construct firstly the complete list of five quantum deformations of $D=4$
complex homogeneous orthogonal Lie algebra $\mathfrak{o}(4;\mathbb{C})\cong
\mathfrak{o}(3;\mathbb{C})\oplus \mathfrak{o}(3;\mathbb{C})$, describing
quantum rotational symmetry of four-dimensional complex space-time, in
particular we provide the corresponding universal quantum $R$-matrices. Further
applying four possible reality conditions we obtain all sixteen Hopf-algebraic
quantum deformations for the real forms of $\mathfrak{o}(4;\mathbb{C})$:
Euclidean $\mathfrak{o}(4)$, Lorentz $\mathfrak{o}(3,1)$, Kleinian
$\mathfrak{o}(2,2)$ and quaternionic $\mathfrak{o}^{\star}(4)$. For
$\mathfrak{o}(3,1)$ we only recall well-known results obtained previously by
the authors, but for other real Lie algebras (Euclidean, Kleinian,
quaternionic) as well as for the complex Lie algebra
$\mathfrak{o}(4;\mathbb{C})$ we present new results.Comment: 32 pages, v2 minor improvements, added references, new formulas on
  p.2
On the Time Dependence of Holographic Complexity

We evaluate the full time dependence of holographic complexity in various
eternal black hole backgrounds using both the complexity=action (CA) and the
complexity=volume (CV) conjectures. We conclude using the CV conjecture that
the rate of change of complexity is a monotonically increasing function of
time, which saturates from below to a positive constant in the late time limit.
Using the CA conjecture for uncharged black holes, the holographic complexity
remains constant for an initial period, then briefly decreases but quickly
begins to increase. As observed previously, at late times, the rate of growth
of the complexity approaches a constant, which may be associated with Lloyd's
bound on the rate of computation. However, we find that this late time limit is
approached from above, thus violating the bound. Adding a charge to the eternal
black holes washes out the early time behaviour, i.e., complexity immediately
begins increasing with sufficient charge, but the late time behaviour is
essentially the same as in the neutral case. We also evaluate the complexity of
formation for charged black holes and find that it is divergent for extremal
black holes, implying that the states at finite chemical potential and zero
temperature are infinitely more complex than their finite temperature
counterparts.Comment: 52+31 pages, 30 figure
Analysis of the TeV-scale mirage mediation with heavy superparticles

We discuss effective models derived from a supersymmetric model whose
mediation mechanism of supersymmetry (SUSY) breaking is namely mirage
mediation. In this model, light higgsino mass, that is required by the natural
realization of the electroweak scale, is achieved by the unification of the
soft SUSY breaking parameters at the low scale. Besides, we find that extra
Higgs fields are also possibly light in some cases. Then, the effective model
is a two Higgs doublet model (2HDM) with higgsinos, and it is distinguishable
with namely type-II 2HDM which is widely discussed. In this paper, we study the
mass spectrum of SUSY particles and the extra Higgs fields, and summarize the
phenomenology in the effective model. We survey the current experimental bounds
from the LHC and the dark matter experiments as well as the flavor physics.
Then, we point out the expected mass scale of the SUSY particles and reveal the
future prospects for the direct and indirect searches. We also discuss the
difference between our effective model and the 2HDM in the bottom-up approach.Comment: 22 pages, 3 figures and 1 tabl
On-shell diagrams and the geometry of planar N < 4 SYM theories

We continue the discussion of the decorated on-shell diagrammatics for planar
N < 4 Supersymmetric Yang-Mills theories started in arXiv:1510.03642. In
particular, we focus on its relation with the structure of varieties on the
Grassmannian. The decoration of the on-shell diagrams, which physically keeps
tracks of the helicity of the coherent states propagating along their edges,
defines new on-shell functions on the Grassmannian and can introduce novel
higher-order singularities, which graphically are reflected into the presence
of helicity loops in the diagrams. These new structures turn out to have
similar features as in the non-planar case: the related higher-codimension
varieties are identified by either the vanishing of one (or more) Plucker
coordinates involving at least two non-adjacent columns, or new relations among
Plucker coordinates. A distinctive feature is that the functions living on
these higher-codimenson varieties can be thought of distributionally as having
support on derivative delta-functions. After a general discussion, we explore
in some detail the structures of the on-shell functions on Gr(2,4) and Gr(3,6)
on which the residue theorem allows to obtain a plethora of identities among
them.Comment: 34 pages, 65 figure
Digging Deeper for New Physics in the LHC Data

In this paper we describe a novel, model-independent technique of
"rectangular aggregations" for mining the LHC data for hints of new physics. A
typical (CMS) search now has hundreds of signal regions, which can obscure
potentially interesting anomalies. Applying our technique to the two CMS
jets+MET SUSY searches, we identify a set of previously overlooked $\sim
3\sigma$ excesses. Among these, four excesses survive tests of inter- and
intra-search compatibility, and two are especially interesting: they are
largely overlapping between the jets+MET searches and are characterized by low
jet multiplicity, zero $b$-jets, and low MET and $H_T$. We find that resonant
color-triplet production decaying to a quark plus an invisible particle
provides an excellent fit to these two excesses and all other data -- including
the ATLAS jets+MET search, which actually sees a correlated excess. We discuss
the additional constraints coming from dijet resonance searches, monojet
searches and pair production. Based on these results, we believe the
wide-spread view that the LHC data contains no interesting excesses is greatly
exaggerated.Comment: 31 pages + appendices, 14 figures, source code for recasted searches
  attached as auxiliary materia
LHC Searches for Dark Sector Showers

This paper proposes a new search program for dark sector parton showers at
the Large Hadron Collider (LHC). These signatures arise in theories
characterized by strong dynamics in a hidden sector, such as Hidden Valley
models. A dark parton shower can be composed of both invisible dark matter
particles as well as dark sector states that decay to Standard Model particles
via a portal. The focus here is on the specific case of 'semi-visible jets,'
jet-like collider objects where the visible states in the shower are Standard
Model hadrons. We present a Simplified Model-like parametrization for the LHC
observables and propose targeted search strategies for regions of parameter
space that are not covered by existing analyses. Following the 'mono-$X$'
literature, the portal is modeled using either an effective field theoretic
contact operator approach or with one of two ultraviolet completions;
sensitivity projections are provided for all three cases. We additionally
highlight that the LHC has a unique advantage over direct detection experiments
in the search for this class of dark matter theories.Comment: 36 pages, 14 figures; v2, JHEP versio
Cubic interaction vertices for continuous-spin fields and arbitrary spin
  massive fields

Light-cone gauge formulation of relativistic dynamics of a continuous-spin
field propagating in the flat space is developed. Cubic interaction vertices of
continuous-spin massless fields and totally symmetric arbitrary spin massive
fields are studied. We consider parity invariant cubic vertices that involve
one continuous-spin massless field and two arbitrary spin massive fields and
parity invariant cubic vertices that involve two continuous-spin massless
fields and one arbitrary spin massive field. We construct the complete list of
such vertices explicitly. Also we demonstrate that there are no cubic vertices
describing consistent interaction of continuous-spin massless fields with
arbitrary spin massless fields.Comment: 49 pages, v2: Typos in text and eqs.(4.35),(B.13),(B.14),(B.24)
  corrected. Above eqs.(3.37) and below eqs.(3.43), brief remarks adde
Master integrals for the NNLO virtual corrections to $\mu e$ scattering
  in QED: the planar graphs

We evaluate the master integrals for the two-loop, planar box-diagrams
contributing to the elastic scattering of muons and electrons at
next-to-next-to leading-order in QED. We adopt the method of differential
equations and the Magnus exponential series to determine a canonical set of
integrals, finally expressed as a Taylor series around four space-time
dimensions, with coefficients written as combination of generalised
polylogarithms. The electron is treated as massless, while we retain full
dependence on the muon mass. The considered integrals are also relevant for
crossing-related processes, such as di-muon production at $e^+ e^-$-colliders,
as well as for the QCD corrections to $top$-pair production at hadron
colliders.Comment: published version, 39 pages, 7 figures, 3 ancillary file
Eleven-Dimensional Supergravity in 4D, $N=1$ Superspace

We give a formulation of linearized 11D supergravity in 4D, $N=1$ superspace
keeping all eleven bosonic coordinates. The fields are fluctuations around
$\mathbf M=\mathbf R^{4|4}\times Y$, where $Y$ is a background Riemannian
7-manifold admitting a $G_2$ structure. We embed the 11D fields into superfield
representations of the 4D, $N=1$ superconformal algebra. These consist of the
conformal graviton superfield, seven conformal gravitino superfields, a tensor
hierarchy of superfields describing the 11D 3-form, and a non-abelian
Kaluza-Klein vector multiplet gauging the tensor hierarchy by diffeomorphisms
on $Y$. The quadratic action consists of the linearization of a superspace
volume term and a Chern-Simons action for the gauged hierarchy coupled to the
supergravity and gravitino superfields, and the full structure is fixed by
superconformal and gauge invariance. When this action is projected to
components, we recover the full linearized action of 11D supergravity.Comment: 33+16 page
Warped $AdS_6\times S^2$ in Type IIB supergravity III: Global solutions
  with seven-branes

We extend our previous construction of global solutions to Type IIB
supergravity that are invariant under the superalgebra $F(4)$ and are realized
on a spacetime of the form $AdS_6 \times S^2$ warped over a Riemann surface
$\Sigma$ by allowing the supergravity fields to have non-trivial $SL(2,{\mathbb
R})$ monodromy at isolated punctures on $\Sigma$. We obtain explicit solutions
for the case where $\Sigma$ is a disc, and the monodromy generators are
parabolic elements of $SL(2,{\mathbb R})$ physically corresponding to the
monodromy allowed in Type IIB string theory. On the boundary of $\Sigma$ the
solutions exhibit singularities at isolated points which correspond to
semi-infinite five-branes, as is familiar from the global solutions without
monodromy. In the interior of $\Sigma$, the solutions are everywhere regular,
except at the punctures where $SL(2,{\mathbb R})$ monodromy resides and which
physically correspond to the locations of $[p,q]$ seven-branes. The solutions
have a compelling physical interpretation corresponding to fully localized
five-brane intersections with additional seven-branes, and provide candidate
holographic duals to the five-dimensional superconformal field theories
realized on such intersections.Comment: 43 pages, 6 figure
Towards the minimal seesaw model via CP violation of neutrinos

We study the minimal seesaw model, where two right-handed Majorana neutrinos
are introduced, focusing on the CP violating phase. In addition, we take the
trimaximal mixing pattern for the neutrino flavor where the charged lepton mass
matrix is diagonal. Thanks to this symmetric framework, the $3\times 2$ Dirac
neutrino mass matrix is given in terms of a few parameters. Numerical studies
reveal that the observation of the CP violating phase can determine the flavor
structure of the Dirac neutrino mass matrix in the minimal seesaw model. In
particular, new minimal Dirac neutrino mass matrices are proposed in the case
of $\rm TM_1$, which is derived by the additional 2-3 family mixing to the
tri-bimaximal mixing basis in the normal hierarchy of neutrino masses. Our
analyses include the Littlest seesaw model by King {\it et al.}, which is one
of the specific one in our results. Furthermore, it is remarked that our
$3\times 2$ Dirac neutrino mass matrix is reproduced by introducing gauge
singlet flavons with the specific alignments of the VEV's. These alignments
suggest the residual symmetry of $S_4$ group.Comment: 27 pages, 27 figures, final versio
What measurements of neutrino neutral current events can reveal

We show that neutral current (NC) measurements at neutrino detectors can play
a valuable role in the search for new physics. Such measurements have certain
intrinsic features and advantages that can fruitfully be combined with the
usual well-studied charged lepton detection channels in order to probe the
presence of new interactions or new light states. In addition to the fact that
NC events are immune to uncertainties in standard model neutrino mixing and
mass parameters, they can have small matter effects and superior rates since
all three flavours participate. We also show, as a general feature, that NC
measurements provide access to different combinations of CP phases and mixing
parameters compared to CC measurements at both long and short baseline
experiments. Using the Deep Underground Neutrino Experiment (DUNE) as an
illustrative setting, we demonstrate the capability of NC measurements to break
degeneracies arising in CC measurements, allowing us, in principle, to
distinguish between new physics that violates three flavour unitarity and that
which does not. Finally, we show that NC measurements can enable us to restrict
new physics parameters that are not easily constrained by CC measurements.Comment: 22 pages, 10 figure
Soft pion theorem, asymptotic symmetry and new memory effect

It is known that soft photon and graviton theorems can be regarded as the
Ward-Takahashi identities of asymptotic symmetries. In this paper, we consider
soft theorem for pions, i.e., Nambu-Goldstone bosons associated with a
spontaneously broken axial symmetry. The soft pion theorem is written as the
Ward-Takahashi identities of the $S$-matrix under asymptotic transformations.
We investigate the asymptotic dynamics, and find that the conservation of
charges generating the asymptotic transformations can be interpreted as a pion
memory effect.Comment: 25 pages, 2 figures, v2: references and discussions adde
Sachs' free data in real connection variables

We discuss the Hamiltonian dynamics of general relativity with real
connection variables on a null foliation, and use the Newman-Penrose formalism
to shed light on the geometric meaning of the various constraints. We identify
the equivalent of Sachs' constraint-free initial data as projections of
connection components related to null rotations, i.e. the translational part of
the ISO(2) group stabilising the internal null direction soldered to the
hypersurface. A pair of second-class constraints reduces these connection
components to the shear of a null geodesic congruence, thus establishing
equivalence with the second-order formalism, which we show in details at the
level of symplectic potentials. A special feature of the first-order
formulation is that Sachs' propagating equations for the shear, away from the
initial hypersurface, are turned into tertiary constraints; their role is to
preserve the relation between connection and shear under retarded time
evolution. The conversion of wave-like propagating equations into constraints
is possible thanks to an algebraic Bianchi identity; the same one that allows
one to describe the radiative data at future null infinity in terms of a shear
of a (non-geodesic) asymptotic null vector field in the physical spacetime.
Finally, we compute the modification to the spin coefficients and the null
congruence in the presence of torsion.Comment: 23 pages + Appendix, 2 figures. v2: Improved text and some amendments
  throughout, added more details on the relation between 2+2 foliations and
  null tetrads, updated references. Version submitted for peer reviewing. v3:
  Few minor amendments, footnote added on a null congruence in the presence of
  torsion; matches published versio
Thermal quarkonium physics in the pseudoscalar channel

The pseudoscalar correlator is an ideal lattice probe for thermal
modifications to quarkonium spectra, given that it is not compromised by a
contribution from a large transport peak. We construct a perturbative spectral
function incorporating resummed thermal effects around the threshold and vacuum
asymptotics above the threshold, and compare the corresponding imaginary-time
correlators with continuum-extrapolated lattice data for quenched SU(3) at
several temperatures. Modest differences are observed, which may originate from
non-perturbative mass shifts or renormalization factors, however no resonance
peaks are needed for describing the quenched lattice data for charmonium at and
above T ~ 1.1Tc ~ 350 MeV. For comparison, in the bottomonium case a good
description of the lattice data is obtained with a spectral function containing
a single thermally broadened resonance peak.Comment: 28 pages. v2: published versio
Chiral Global Embedding of Fibre Inflation Models

We construct explicit examples of fibre inflation models which are globally
embedded in type IIB orientifolds with chiral matter on D7-branes and full
closed string moduli stabilisation. The minimal setup involves a Calabi-Yau
threefold with h^{1,1}=4 Kaehler moduli which features multiple K3 fibrations
and a del Pezzo divisor supporting non-perturbative effects. We perform a
consistent choice of orientifold involution, brane setup and gauge fluxes which
leads to chiral matter and a moduli-dependent Fayet-Iliopoulos term. After
D-term stabilisation, the number of Kaehler moduli is effectively reduced to 3
and the internal volume reduces to the one of fibre inflation models. The
inflationary potential is generated by suitable string loop corrections in
combination with higher derivative effects. We analyse the inflationary
dynamics both in the single-field approximation and by numerically deriving the
full multi-field evolution in detail. Interestingly, we find that the Kaehler
cone conditions set strong constraints on the allowed inflaton field range.Comment: 34 pages + appendix; reference added and typos correcte
Spinor frame formalism for amplitudes and constrained superamplitudes of
  10D SYM and 11D supergravity

We show that 10D spinor helicity formalism can be understood as spinor moving
frame approach to supersymmetric particles extended to the description of
amplitudes. This allows us to develop the spinor helicity formalism for 11D
supergravity and a new constrained superfield formalism for 10D SYM and 11D
SUGRA amplitudes. We show how the constrained on-shell superfields,
one-particle counterparts of the superamplitudes, can be obtained by
quantization of massless superparticle mechanics.
  We make some stages towards the calculation of amplitudes of 10D SYM and 11D
SUGRA in this framework. In particular we have found supersymmetric Ward
identities for constrained amplitudes and an especially convenient gauge, fixed
on the spinor frame variables corresponding to scattered particles, which
promises to be an extremely useful tool for further development of our
approach.
  We also discuss a candidate for generalization of the BCFW recurrent
relations for the constrained tree superamplitudes, indicate and discuss a
problem of dependence of the expressions obtained with it on a deformation
vector, which is not fixed uniquely in higher dimensional $D>4$ cases.Comment: 73 pages, no figures. V2: revised. Discussion improved and extended,
  78 pages. V3. Published version, 82 page