pinecone/core-2020-05-10-deduplication huggingface dataset:
Robustness of dark matter constraints and interplay with collider
  searches for New Physics

We study the implications of dark matter searches, together with collider
constraints, on the phenomenological MSSM with neutralino dark matter and focus
on the consequences of the related uncertainties in some detail. We consider,
inter alia, the latest results from AMS-02, Fermi-LAT and XENON1T. In
particular, we examine the impact of the choice of the dark matter halo
profile, as well as the propagation model for cosmic rays, for dark matter
indirect detection and show that the constraints on the MSSM differ by one to
two orders of magnitude depending on the astrophysical hypotheses. On the other
hand, our limited knowledge of the local relic density in the vicinity of the
Earth and the velocity of Earth in the dark matter halo leads to a factor 3 in
the exclusion limits obtained by direct detection experiments. We identified
the astrophysical models leading to the most conservative and the most
stringent constraints and for each case studied the complementarities with the
latest LHC measurements and limits from Higgs, SUSY and monojet searches. We
show that combining all data from dark matter searches and colliders, a large
fraction of our supersymmetric sample could be probed. Whereas the direct
detection constraints are rather robust under the astrophysical assumptions,
the uncertainties related to indirect detection can have an important impact on
the number of the excluded points.Comment: 32 pages, 26 figures. v2: update of the conservative scenario for the
  astrophysical uncertainties, references adde
The S-matrix Bootstrap I: QFT in AdS

We propose a strategy to study massive Quantum Field Theory (QFT) using
conformal bootstrap methods. The idea is to consider QFT in hyperbolic space
and study correlation functions of its boundary operators. We show that these
are solutions of the crossing equations in one lower dimension. By sending the
curvature radius of the background hyperbolic space to infinity we expect to
recover flat-space physics. We explain that this regime corresponds to large
scaling dimensions of the boundary operators, and discuss how to obtain the
flat-space scattering amplitudes from the corresponding limit of the boundary
correlators. We implement this strategy to obtain universal bounds on the
strength of cubic couplings in 2D flat-space QFTs using 1D conformal bootstrap
techniques. Our numerical results match precisely the analytic bounds obtained
in our companion paper using S-matrix bootstrap techniques.Comment: 25+21 pages, 14 figures; v2: minor correction
Global Orientifolded Quivers with Inflation

We describe global embeddings of fractional D3 branes at orientifolded
singularities in type IIB flux compactifications. We present an explicit
Calabi-Yau example where the chiral visible sector lives on a local
orientifolded quiver while non-perturbative effects, $\alpha'$ corrections and
a T-brane hidden sector lead to full closed string moduli stabilisation in a de
Sitter vacuum. The same model can also successfully give rise to inflation
driven by a del Pezzo divisor. Our model represents the first explicit
Calabi-Yau example featuring both an inflationary and a chiral visible sector.Comment: 33 pages, 8 figures and 3 tables; new inflationary plots and typos
  corrected; references adde
The $\mu-\tau$ reflection symmetry of Dirac neutrinos and its breaking
  effect via quantum corrections

Given the Dirac neutrino mass term, we explore the constraint conditions
which allow the corresponding mass matrix to be invariant under the \mu-\tau
reflection transformation, leading us to the phenomenologically favored
predictions \theta_{23} = \pi/4 and \delta = 3\pi/2 in the standard
parametrization of the 3\times 3 lepton flavor mixing matrix. If such a flavor
symmetry is realized at a superhigh energy scale \Lambda_{\mu\tau}, we
investigate how it is spontaneously broken via the one-loop
renormalization-group equations (RGEs) running from \Lambda_{\mu\tau} down to
the Fermi scale \Lambda_{\rm F}. Such quantum corrections to the neutrino
masses and flavor mixing parameters are derived, and an analytical link is
established between the Jarlskog invariants of CP violation at
\Lambda_{\mu\tau} and \Lambda_{\rm F}. Some numerical examples are also
presented in both the minimal supersymmetric standard model and the type-II
two-Higgs-doublet model, to illustrate how the octant of \theta_{23}, the
quadrant of \delta and the neutrino mass ordering are correlated with one
another as a result of the RGE-induced \mu-\tau reflection symmetry breaking
effects.Comment: 21 pages, 4 figures, some changes made, 2HDM considered, accepted for
  publication in JHE
Spontaneous CP violation in multi-Higgs potentials with triplets of
  $\Delta(3n^2)$ and $\Delta(6n^2)$

Motivated by discrete flavour symmetry models, we analyse Spontaneous CP
Violation (SCPV) for potentials involving three or six Higgs fields (both
electroweak doublets and singlets) which fall into irreducible triplet
representations of discrete symmetries belonging to the $\Delta(3n^2)$ and
$\Delta(6n^2)$ series, including $A_4$, $S_4$, $\Delta(27)$ and $\Delta(54)$.
For each case, we give the potential and find various global mimima for
different regions of the parameter space of the potential. Using CP-odd basis
Invariants that indicate the presence of Spontaneous CP Violation we separate
the VEVs into those that do or do not violate CP. In cases where CP is
preserved we reveal a CP symmetry of the potential that is preserved by those
VEVs, otherwise we display a non-zero CP-odd Invariant. Finally we identify
interesting cases where there is Spontaneous Geometrical CP Violation in which
the VEVs have calculable phases.Comment: 57 pages, 4 diagram
Surface operators, chiral rings, and localization in N=2 gauge theories

We study half-BPS surface operators in supersymmetric gauge theories in four
and five dimensions following two different approaches. In the first approach
we analyze the chiral ring equations for certain quiver theories in two and
three dimensions, coupled respectively to four- and five-dimensional gauge
theories. The chiral ring equations, which arise from extremizing a twisted
chiral superpotential, are solved as power series in the infrared scales of the
quiver theories. In the second approach we use equivariant localization and
obtain the twisted chiral superpotential as a function of the Coulomb moduli of
the four- and five-dimensional gauge theories, and find a perfect match with
the results obtained from the chiral ring equations. In the five-dimensional
case this match is achieved after solving a number of subtleties in the
localization formulas which amounts to choosing a particular residue
prescription in the integrals that yield the Nekrasov-like partition functions
for ramified instantons. We also comment on the necessity of including
Chern-Simons terms in order to match the superpotentials obtained from dual
quiver descriptions of a given surface operator.Comment: 41 pages. v3: typos corrected in the text and in some formulae. Some
  sentences rephrased according to the suggestions of the referee. Matches the
  version published on JHE
Angular distribution of polarised $\Lambda_b$ baryons decaying to
  $\Lambda \ell^+\ell^-$

Rare $b \to s\ell^+\ell^-$ flavour-changing-neutral-current processes provide
important tests of the Standard Model of particle physics. Angular observables
in exclusive $b \to s\ell^+\ell^-$ processes can be particularly powerful as
they allow hadronic uncertainties to be controlled. Amongst the exclusive
processes that have been studied by experiments, the decay $\Lambda_b\to
\Lambda\ell^+\ell^-$ is unique in that the $\Lambda_b$ baryon can be produced
polarised. In this paper, we derive an expression for the angular distribution
of the $\Lambda_b\to \Lambda\ell^+\ell^-$ decay for the case where the
$\Lambda_b$ baryon is produced polarised. This extends the number of angular
observables in this decay from 10 to 34. Standard Model expectations for the
new observables are provided and the sensitivity of the observables is explored
under a variety of new physics models. At low-hadronic recoil, four of the new
observables have a new short distance dependence that is absent in the
unpolarised case. The remaining observables depend on the same short distance
contributions as the unpolarised observables, but with different dependence on
hadronic form-factors. These relations provide possibilities for novel tests of
the SM that could be carried out with the data that will become available at
the LHC or a future $e^+e^-$ collider
Low momentum expansion of one loop amplitudes in heterotic string theory

We consider the low momentum expansion of the four graviton and the two
graviton--two gluon amplitudes in heterotic string theory at one loop in ten
dimensions, and analyze contributions upto the D^2 R^4 interaction from the
four graviton amplitude, and the D^4 R^2 F^2 interaction from the two
graviton--two gluon amplitude. The calculations are performed by obtaining
equations for the relevant modular graph functions that arise in the modular
invariant integrals, and involve amalgamating techniques used in the type II
theory and the calculation of the elliptic genus in the heterotic theory.Comment: 67 pages, LaTeX, 14 figure
Quantum Vacua of 2d Maximally Supersymmetric Yang-Mills Theory

We analyze the classical and quantum vacua of 2d $\mathcal{N}=(8,8)$
supersymmetric Yang-Mills theory with $SU(N)$ and $U(N)$ gauge group,
describing the worldvolume interactions of $N$ parallel D1-branes with flat
transverse directions $\mathbb{R}^8$. We claim that the IR limit of the $SU(N)$
theory in the superselection sector labeled $M \pmod{N}$ --- identified with
the internal dynamics of $(M,N)$-string bound states of Type IIB string theory
--- is described by the symmetric orbifold $\mathcal{N}=(8,8)$ sigma model into
$(\mathbb{R}^8)^{D-1}/\mathbb{S}_D$ when $D=\gcd(M,N)>1$, and by a single
massive vacuum when $D=1$, generalizing the conjectures of E. Witten and
others. The full worldvolume theory of the D1-branes is the $U(N)$ theory with
an additional $U(1)$ 2-form gauge field $B$ coming from the string theory
Kalb-Ramond field. This $U(N)+B$ theory has generalized field configurations,
labeled by the $\mathbb{Z}$-valued generalized electric flux and an independent
$\mathbb{Z}_N$-valued 't Hooft flux. We argue that in the quantum mechanical
theory, the $(M,N)$-string sector with $M$ units of electric flux has a
$\mathbb{Z}_N$-valued discrete $\theta$ angle specified by $M \pmod{N}$ dual to
the 't Hooft flux. Adding the brane center-of-mass degrees of freedom to the
$SU(N)$ theory, we claim that the IR limit of the $U(N) + B$ theory in the
sector with $M$ bound F-strings is described by the $\mathcal{N}=(8,8)$ sigma
model into ${\rm Sym}^{D} ( \mathbb{R}^8)$. We provide strong evidence for
these claims by computing an $\mathcal{N}=(8,8)$ analog of the elliptic genus
of the UV gauge theories and of their conjectured IR limit sigma models, and
showing they agree. Agreement is established by noting that the elliptic genera
are modular-invariant Abelian (multi-periodic and meromorphic) functions, which
turns out to be very restrictive.Comment: 47 pages. Comments welcome
A Complete Basis of Helicity Operators for Subleading Factorization

Factorization theorems underly our ability to make predictions for many
processes involving the strong interaction. Although typically formulated at
leading power, the study of factorization at subleading power is of interest
both for improving the precision of calculations, as well as for understanding
the all orders structure of QCD. We use the SCET helicity operator formalism to
construct a complete power suppressed basis of hard scattering operators for
$e^+e^-\to$ dijets, $e^- p\to e^-$ jet, and constrained Drell-Yan, including
the first two subleading orders in the amplitude level power expansion. We
analyze the form of the hard, jet, and soft function contributions to the power
suppressed cross section for $e^+e^-\to$ dijet event shapes, and give results
for the lowest order matching to the contributing operators. These results will
be useful for studies of power corrections both in fixed order and resummed
perturbation theory.Comment: 110 pages, many figure
The S-matrix Bootstrap II: Two Dimensional Amplitudes

We consider constraints on the S-matrix of any gapped, Lorentz invariant
quantum field theory in 1 + 1 dimensions due to crossing symmetry and
unitarity. In this way we establish rigorous bounds on the cubic couplings of a
given theory with a fixed mass spectrum. In special cases we identify
interesting integrable theories saturating these bounds. Our analytic bounds
match precisely with numerical bounds obtained in a companion paper where we
consider massive QFT in an AdS box and study boundary correlators using the
technology of the conformal bootstrap.Comment: 25+6 pages, 15 figures; v2: minor correction
Labelled tree graphs, Feynman diagrams and disk integrals

In this note, we introduce and study a new class of "half integrands" in
Cachazo-He-Yuan (CHY) formula, which naturally generalize the so-called
Parke-Taylor factors; these are dubbed Cayley functions as each of them
corresponds to a labelled tree graph. The CHY formula with a Cayley function
squared gives a sum of Feynman diagrams, and we represent it by a combinatoric
polytope whose vertices correspond to Feynman diagrams. We provide a simple
graphic rule to derive the polytope from a labelled tree graph, and classify
such polytopes ranging from the associahedron to the permutohedron.
Furthermore, we study the linear space of such half integrands and find (1) a
nice formula reducing any Cayley function to a sum of Parke-Taylor factors in
the Kleiss-Kuijf basis (2) a set of Cayley functions as a new basis of the
space; each element has the remarkable property that its CHY formula with a
given Parke-Taylor factor gives either a single Feynman diagram or zero. We
also briefly discuss applications of Cayley functions and the new basis in
certain disk integrals of superstring theory.Comment: 30+8 pages, many figures;typos fixe
Chiral anomalies in six dimensions from harmonic superspace

We develop a superfield approach to compute chiral anomalies in general
${\cal N}=(1,0)$ supersymmetric gauge theories in six dimensions. Within the
harmonic-superspace formulation for these gauge theories, the anomalous
contributions to the effective action only come from matter and ghost
hypermultiplets. By studying the short-distance behaviour of the propagator for
the hypermultiplet coupled to a background vector multiplet, we compute the
covariant and consistent chiral anomalies. We also provide a superform
formulation for the non-abelian anomalous current multiplet in general ${\cal
N}=(1,0)$ supersymmetric gauge theories.Comment: 33 page
Full diffeomorphism and Lorentz invariance in 4D ${\cal N}=1$ superfield
  description of 6D SUGRA

We complete the four-dimensional ${\cal N}=1$ superfield description of
six-dimensional supergravity. The missing ingredients in the previous works are
the superfields that contain the sechsbein $e_4^{\;\;\underline{\nu}}$,
$e_5^{\;\;\underline{\nu}}$, $e_\mu^{\;\;\underline{4}}$,
$e_\mu^{\;\;\underline{5}}$ and the second gravitino. They are necessary to
make the action invariant under the diffeomorphisms and the Lorentz
transformations involving the extra dimensions. We find the corresponding
superfield transformation laws, and show the invariance of the action under
them. We also check that the resultant action reproduces the known superfield
description of five-dimensional supergravity through the dimensional reduction.Comment: 45 pages, some comments adde
Charmed Baryon Weak Decays with SU(3) Flavor Symmetry

We study the semileptonic and non-leptonic charmed baryon decays with $SU(3)$
flavor symmetry, where the charmed baryons can be ${\bf
B}_{c}=(\Xi_c^0,\Xi_c^+,\Lambda_c^+)$, ${\bf
B}'_{c}=(\Sigma_c^{(++,+,0)},\Xi_{c}^{\prime(+,0)},\Omega_c^0)$, ${\bf
B}_{cc}=(\Xi_{cc}^{++},\Xi_{cc}^+,\Omega_{cc}^+)$, or ${\bf
B}_{ccc}=\Omega^{++}_{ccc}$. With ${\bf B}_n^{(\prime)}$ denoted as the baryon
octet (decuplet), we find that the ${\bf B}_{c}\to {\bf B}'_n\ell^+\nu_\ell$
decays are forbidden, while the $\Omega_c^0\to \Omega^-\ell^+\nu_\ell$,
$\Omega_{cc}^+\to\Omega_c^0\ell^+\nu_\ell$, and $\Omega_{ccc}^{++}\to
\Omega_{cc}^+\ell^+\nu_\ell$ decays are the only existing Cabibbo-allowed modes
for ${\bf B}'_{c}\to {\bf B}'_n\ell^+\nu_\ell$, ${\bf B}_{cc}\to {\bf
B}'_c\ell^+\nu_\ell$, and ${\bf B}_{ccc}\to {\bf
B}_{cc}^{(\prime)}\ell^+\nu_\ell$, respectively. We predict the rarely studied
${\bf B}_{c}\to {\bf B}_n^{(\prime)}M$ decays, such as ${\cal
B}(\Xi_c^0\to\Lambda^0\bar K^0,\,\Xi_c^+\to\Xi^0\pi^+)=(8.3\pm 0.9,8.0\pm
4.1)\times 10^{-3}$ and ${\cal B}(\Lambda_c^+\to
\Delta^{++}\pi^-,\,\Xi_c^0\to\Omega^- K^+)=(5.5\pm 1.3,4.8\pm 0.5)\times
10^{-3}$. For the observation, the doubly and triply charmed baryon decays of
$\Omega_{cc}^{+}\to \Xi_c^+\bar K^0$, $\Xi_{cc}^{++}\to (\Xi_c^+\pi^+$,
$\Sigma_c^{++}\bar K^0)$, and $\Omega_{ccc}^{++}\to (\Xi_{cc}^{++}\bar
K^0,\Omega_{cc}^+\pi^+,\Xi_c^+ D^+)$ are the favored Cabibbo-allowed decays,
which are accessible to the BESIII and LHCb experiments.Comment: 29 pages, no figure, a typo in the table correcte
Discrete Gravity on Random Tensor Network and Holographic R\'enyi
  Entropy

In this paper we apply the discrete gravity and Regge calculus to tensor
networks and Anti-de Sitter/conformal field theory (AdS/CFT) correspondence. We
construct the boundary many-body quantum state $|\Psi\rangle$ using random
tensor networks as the holographic mapping, applied to the Wheeler-deWitt wave
function of bulk Euclidean discrete gravity in 3 dimensions. The entanglement
R\'enyi entropy of $|\Psi\rangle$ is shown to holographically relate to the
on-shell action of Einstein gravity on a branch cover bulk manifold. The
resulting R\'enyi entropy $S_n$ of $|\Psi\rangle$ approximates with high
precision the R\'enyi entropy of ground state in 2-dimensional conformal field
theory (CFT). In particular it reproduces the correct $n$ dependence. Our
results develop the framework of realizing the AdS$_3$/CFT$_2$ correspondence
on random tensor networks, and provide a new proposal to approximate CFT ground
state.Comment: 8+2 pages, 10 figures, presentation improved, references adde
Eigenstate thermalization in the Sachdev-Ye-Kitaev model

The eigenstate thermalization hypothesis (ETH) explains how closed unitary
quantum systems can exhibit thermal behavior in pure states. In this work we
examine a recently proposed microscopic model of a black hole in AdS$_2$, the
so-called Sachdev-Ye-Kitaev (SYK) model. We show that this model satisfies the
eigenstate thermalization hypothesis by solving the system in exact
diagonalization. Using these results we also study the behavior, in
eigenstates, of various measures of thermalization and scrambling of
information. We establish that two-point functions in finite-energy eigenstates
approximate closely their thermal counterparts and that information is
scrambled in individual eigenstates. We study both the eigenstates of a single
random realization of the model, as well as the model obtained after averaging
of the random disordered couplings. We use our results to comment on the
implications for thermal states of the dual theory, i.e. the AdS$_2$ black
hole.Comment: 36 pages, many figures; references added; matches published versio
$Z\gamma$ production at NNLO including anomalous couplings

In this paper we present a next-to-next-to-leading order (NNLO) QCD
calculation of the processes $pp\rightarrow l^+l^-\gamma$ and $pp\rightarrow
\nu\bar\nu\gamma$ that we have implemented in MCFM. Our calculation includes
QCD corrections at NNLO both for the Standard Model (SM) and additionally in
the presence of $Z\gamma\gamma$ and $ZZ\gamma$ anomalous couplings. We compare
our implementation, obtained using the jettiness slicing approach, with a
previous SM calculation and find broad agreement. Focusing on the sensitivity
of our results to the slicing parameter, we show that using our setup we are
able to compute NNLO cross sections with numerical uncertainties of about
$0.1\%$, which is small compared to residual scale uncertainties of a few
percent. We study potential improvements using two different jettiness
definitions and the inclusion of power corrections. At $\sqrt{s}=13$ TeV we
present phenomenological results and consider $Z\gamma$ as a background to
$H\to Z\gamma$ production. We find that, with typical cuts, the inclusion of
NNLO corrections represents a small effect and loosens the extraction of limits
on anomalous couplings by about $10\%$.Comment: 30 pages, 14 figure
Solving the Bars-Green equation for moving mesons in two-dimensional QCD

The two-dimensional QCD in the large $N$ limit, generally referred to as the
't Hooft model, is numerically investigated in the axial gauge in a
comprehensive manner. The corresponding Bethe-Salpeter equation for a bound
$q\bar{q}$ pair, originally derived by Bars and Green in 1978, was first
numerically tackled by Li and collaborators in late 1980s, yet only for the
{\it stationary} mesons. In this paper, we make further progress by numerically
solving the Bars-Green equation for {\it moving} mesons, ranging from the
chiral pion to charmonium. By choosing several different quark masses, we
computed the corresponding quark condensates, meson spectra and their decay
constants for a variety of meson momenta, and found satisfactory agreement with
their counterparts obtained using light-cone gauge, thus numerically verified
the gauge and Poincar\'{e} invariance of the 't Hooft model. Moreover, we have
explicitly confirmed that, as the meson gets more and more boosted, the large
component of the Bars-Green wave function indeed approaches the corresponding
't Hooft light-cone wave function, while the small component of the wave
function rapidly fades away.Comment: v2, 25 pages, 12 figures, and 1 table; Some figures updated,
  references added, typo corrrected; to appear in JHE
A swamp of non-SUSY vacua

We consider known examples of non-supersymmetric AdS$_7$ and AdS$_4$
solutions arising from compactifications of massive type IIA supergravity and
study their stability, taking into account the coupling between closed- and
open-string sector excitations. Generically, open strings are found to develop
modes with masses below the Breitenlohner-Freedman (BF) bound. We comment on
the relation with the Weak Gravity Conjecture, and how this analysis may play
an important role in examining the validity of non-supersymmetric constructions
in string theory.Comment: 26 pages and 8 table
2D gravitational Mabuchi action on Riemann surfaces with boundaries

We study the gravitational action induced by coupling two-dimensional
non-conformal, massive matter to gravity on a Riemann surface with boundaries.
A small-mass expansion gives back the Liouville action in the massless limit,
while the first-order mass correction allows us to identify what should be the
appropriate generalization of the Mabuchi action on a Riemann surface with
boundaries. We provide a detailed study for the example of the cylinder.
Contrary to the case of manifolds without boundary, we find that the
gravitational Lagrangian explicitly depends on the space-point, via the
geodesic distances to the boundaries, as well as on the modular parameter of
the cylinder, through an elliptic theta-function.Comment: 33 page