pinecone/core-2020-05-10-deduplication huggingface dataset:
Maximal Supersymmetry and B-Mode Targets

Extending the work of Ferrara and one of the authors, we present dynamical
cosmological models of $\alpha$-attractors with plateau potentials for
$3\alpha=1,2,3,4,5,6,7$. These models are motivated by geometric properties of
maximally supersymmetric theories: M-theory, superstring theory, and maximal $N
= 8$ supergravity. After a consistent truncation of maximal to minimal
supersymmetry in a seven-disk geometry, we perform a two-step procedure: 1) we
introduce a superpotential, which stabilizes the moduli of the seven-disk
geometry in a supersymmetric minimum, 2) we add a cosmological sector with a
nilpotent stabilizer, which breaks supersymmetry spontaneously and leads to a
desirable class of cosmological attractor models. These models with $n_s$
consistent with observational data, and with tensor-to-scalar ratio $r \approx
10^{-2}- 10^{-3}$, provide natural targets for future B-mode searches. We
relate the issue of stability of inflationary trajectories in these models to
tessellations of a hyperbolic geometry.Comment: 33 pages, 12 figure
Holographic two-point functions for Janus interfaces in the $D1/D5$ CFT

This paper investigates scalar perturbations in the top-down supersymmetric
Janus solutions dual to conformal interfaces in the $D1/D5$ CFT, finding
analytic closed-form solutions. We obtain an explicit representation of the
bulk-to-bulk propagator and extract the two-point correlation function of the
dual operator with itself, whose form is not fixed by symmetry alone. We give
an expression involving the sum of conformal blocks associated with the
bulk-defect operator product expansion and briefly discuss finite-temperature
extensions. To our knowledge, this is the first two-point function computation
for a fully-backreacted, top-down holographic defect.Comment: 30 pages, PDFLaTe
Analytic Bounds and Emergence of $\textrm{AdS}_2$ Physics from the
  Conformal Bootstrap

We study analytically the constraints of the conformal bootstrap on the
low-lying spectrum of operators in field theories with global conformal
symmetry in one and two spacetime dimensions. We introduce a new class of
linear functionals acting on the conformal bootstrap equation. In 1D, we use
the new basis to construct extremal functionals leading to the optimal upper
bound on the gap above identity in the OPE of two identical primary operators
of integer or half-integer scaling dimension. We also prove an upper bound on
the twist gap in 2D theories with global conformal symmetry. When the external
scaling dimensions are large, our functionals provide a direct point of contact
between crossing in a 1D CFT and scattering of massive particles in large
$\textrm{AdS}_2$. In particular, CFT crossing can be shown to imply that
appropriate OPE coefficients exhibit an exponential suppression characteristic
of massive bound states, and that the 2D flat-space S-matrix should be analytic
away from the real axis.Comment: 46+2 pages, 12 figure
Sub-AdS Scale Locality in AdS$_3$/CFT$_2$

We investigate sub-AdS scale locality in a weakly coupled toy model of the
AdS$_3$/CFT$_2$ correspondence. We find that this simple model has the correct
density of states at low and high energies to be dual to Einstein gravity
coupled to matter in AdS$_3$. Bulk correlation functions also have the correct
behavior at leading order in the large $N$ expansion, but non-local effects
emerge at order $1/N$. Our analysis leads to the conjecture that any large $N$
CFT$_2$ that is modular invariant and has the right low-energy density of
states is dual to a gravitational theory with sub-AdS scale locality.Comment: 19 page
Radiative Two-Loop Neutrino Masses with Dark Matter

Using the Weinberg operator, we present a full collection of genuine two-loop
models for neutrino mass generation, which contain a dark matter particle as
one of the internal messengers. These models can be constructed simply by
adding new fields that are singlets or doublets of SU(2)L. We ensure the
stability of the dark matter candidate by the addition of a Z2 symmetry that
will also be used to forbid tree level or one-loop diagrams. Thus we only
present models where the main contribution for neutrinos masses is generated
from the corresponding two-loop diagram. We also discuss a short outline
corresponding to some phenomenological characteristics of these models.Comment: 39 pages, 26 tables, 7 figure
More on Electroweak-Skyrmion

We discuss the properties of the topological soliton, or the
Electroweak-Skyrmion, in the system of the Standard Model Higgs Lagrangian with
addition of general O(p^4) terms. We show that the upper bound on the mass of
the Electroweak-Skyrmion is about 10 TeV, which is obtained from currently
available experimental constraints on coefficients of O(p^4) terms. The impact
on the properties of the Electroweak-Skyrmion due to further modification of
the Lagrangian is also discussed, and comments on possible mechanisms for the
generation of the Electroweak-Skyrmion in the early Universe as a dark matter
are given.Comment: 13 pages, 6 figurew
A model for pion-pion scattering in large-N QCD

Following up on recent work by Caron-Huot et al. we consider a generalization
of the old Lovelace-Shapiro model as a toy model for Pi-Pi scattering
satisfying (most of) the properties expected to hold in ('t Hooft's) large-N
limit of massless QCD. In particular, the model has asymptotically linear and
parallel Regge trajectories at positive t, a positive leading Regge intercept
$\alpha_0 < 1$, and an effective bending of the trajectories in the negative-t
region producing a fixed branch point at J=0 for $t < t_0 < 0$. Fixed
(physical) angle scattering can be tuned to match the power-like (including
logarithmic corrections) behavior predicted by perturbative QCD: $A(s,t) ~
s^{-\beta} \log(s)^{-\gamma} F(\theta)$. Tree-level unitarity (i.e. positivity
of residues for all values of s and J) imposes strong constraints on the
allowed region in the alpha_0-beta-gamma parameter space, which nicely includes
a physically interesting region around $\alpha_0 = 0.5$, $\beta = 2$ and
$\gamma = 3$. The full consistency of the model would require an extension to
multi-pion processes, a program we do not undertake in this paper.Comment: 17 pages, 6 figure
Higher Spins and Yangian Symmetries

The relation between the bosonic higher spin ${\cal W}_\infty[\lambda]$
algebra, the affine Yangian of $\mathfrak{gl}_{1}$, and the SH$^c$ algebra is
established in detail. For generic $\lambda$ we find explicit expressions for
the low-lying ${\cal W}_\infty[\lambda]$ modes in terms of the affine Yangian
generators, and deduce from this the precise identification between $\lambda$
and the parameters of the affine Yangian. Furthermore, for the free field cases
corresponding to $\lambda=0$ and $\lambda=1$ we give closed-form expressions
for the affine Yangian generators in terms of the free fields. Interestingly,
the relation between the ${\cal W}_\infty$ modes and those of the affine
Yangian is a non-local one, in general. We also establish the explicit
dictionary between the affine Yangian and the SH$^c$ generators. Given that
Yangian algebras are the hallmark of integrability, these identifications
should pave the way towards uncovering the relation between the integrable and
the higher spin symmetries.Comment: 31 pages, 1 figur
Non-Unitarity, sterile neutrinos, and Non-Standard neutrino Interactions

The simplest Standard Model extension to explain neutrino masses involves the
addition of right-handed neutrinos. At some level, this extension will impact
neutrino oscillation searches. In this work we explore the differences and
similarities between the case in which these neutrinos are kinematically
accessible (sterile neutrinos) or not (mixing matrix non-unitarity). We clarify
apparent inconsistencies in the present literature when using different
parametrizations to describe these effects and recast both limits in the
popular neutrino non-standard interaction (NSI) formalism. We find that, in the
limit in which sterile oscillations are averaged out at the near detector,
their effects at the far detector coincide with non-unitarity at leading order,
even in presence of a matter potential. We also summarize the present bounds
existing in both limits and compare them with the expected sensitivities of
near future facilities taking the DUNE proposal as a benchmark. We conclude
that non-unitarity effects are too constrained to impact present or near future
neutrino oscillation facilities but that sterile neutrinos can play an
important role at long baseline experiments. The role of the near detector is
also discussed in detail.Comment: 19 pages, 2 figures: minor changes and references added, version
  published in JHE
Cosmic abundances of SIMP dark matter

Thermal production of light dark matter with sub-GeV scale mass can be
attributed to $3\rightarrow 2$ self-annihilation processes. We consider the
thermal average for annihilation cross sections of dark matter at $3\rightarrow
2$ and general higher-order interactions. A correct thermal average for initial
dark matter particles is important, in particular, for annihilation cross
sections with overall velocity dependence and/or resonance poles. We apply our
general results to benchmark models for SIMP dark matter and discuss the
effects of the resonance pole in determining the relic density.Comment: 21 pages, 6 figures, Version to appear in Journal of High Energy
  Physic
Constraints on the trilinear Higgs self coupling from precision
  observables

We present the constraints on the trilinear Higgs self coupling that arise
from loop effects in the $W$ boson mass and the effective sine predictions. We
compute the contributions to these precision observables of two-loop diagrams
featuring an anomalous trilinear Higgs self coupling. We explicitly show that
the same anomalous contributions are found if the analysis of $m_{
\scriptscriptstyle W}$ and $\mbox{$\sin^2 \theta^{{\rm lep}}_{{\rm eff}}$}$ is
performed in a theory in which the scalar potential in the Standard Model
Lagrangian is modified by an (in)finite tower of $(\Phi^\dagger \Phi)^n$ terms
with $\Phi$ the Higgs doublet. We find that the bounds on the trilinear Higgs
self coupling from precision observables are competitive with those coming from
Higgs pair production.Comment: 23 pages, 4 figures; V2: References added, version published on JHE
(Non-adiabatic) string creation on nice slices in Schwarzschild black
  holes

Nice slices have played a pivotal role in the discussion of the black hole
information paradox as they avoid regions of strong spacetime curvature and yet
smoothly cut through the infalling matter and the outgoing Hawking radiation,
thus, justifying the use of low energy field theory. To avoid information loss
it has been argued recently, however, that local effective field theory has to
break down at the horizon. To assess the extent of this breakdown in a UV
complete framework we study string-theoretic effects on nice slices in
Schwarzschild black holes. Our purpose is two-fold. First, we use nice slices
to address various open questions and caveats of arXiv:1402.1486 where it was
argued that boost-enhanced non-adiabatic string-theoretic effects at the
horizon could provide a dynamical mechanism for the firewall. Second, we
identify two non-adiabatic effects on nice slices in Schwarzschild black holes:
pair production of open strings near the horizon enhanced by the presence of
the infinite tower of highly excited string states and a late-time
non-adiabatic effect intrinsic to nice slices.Comment: 30 pages, 5 figure
Boosted Dark Matter at the Deep Underground Neutrino Experiment

We investigate the detection prospects of a non-standard dark sector in the
context of boosted dark matter. We consider a scenario where two stable
particles have a large mass difference and the heavier particle accounts for
most of dark matter in our current universe. The heavier candidate is assumed
to have no interaction with the standard model particles at tree-level, hence
evading existing constraints. Although subdominant, the lighter dark matter
particles are efficiently produced via pair-annihilation of the heavier ones in
the center of the Galaxy or the Sun. The large Lorentz boost enables detection
of the non-minimal dark sector in large volume terrestrial experiments via
exchange of a light dark photon with electrons or nuclei. Various experiments
designed for neutrino physics and proton decay are examined in detail,
including Super-K and Hyper-K. In this study, we focus on the sensitivity of
the far detector at the Deep Underground Neutrino Experiment for boosted dark
matter produced in the center of the Sun, and compare our findings with recent
results for boosted dark matter produced in the galactic center.Comment: 11 Pages, 5 Figure
High-scale leptogenesis with three-loop neutrino mass generation and
  dark matter

We demonstrate a common origin for high-scale leptogenesis and three-loop
neutrino mass generation. Specifically we extend the standard model by two real
singlet scalars, two singly charged scalars carrying different lepton numbers
and two or more singlet fermions with Majorana masses. Our model respects a
softly broken lepton number and an exactly conserved $Z_2^{}$ discrete
symmetry. Through the lepton-number-violating decays of the real scalars and
then the lepton-number-conserving decays of the charged scalars, we can obtain
a lepton asymmetry stored in the standard model leptons. This lepton asymmetry
can be partially converted to a baryon asymmetry by the sphaleron processes.
The interactions for this leptogenesis can also result in a three-loop diagram
to generate the neutrino masses. The lightest singlet fermion can keep stable
to serve as a dark matter particle.Comment: 4 pages, 2 figure
Dispersion relation for hadronic light-by-light scattering: two-pion
  contributions

In this third paper of a series dedicated to a dispersive treatment of the
hadronic light-by-light (HLbL) tensor, we derive a partial-wave formulation for
two-pion intermediate states in the HLbL contribution to the anomalous magnetic
moment of the muon $(g-2)_\mu$, including a detailed discussion of the
unitarity relation for arbitrary partial waves. We show that obtaining a final
expression free from unphysical helicity partial waves is a subtle issue, which
we thoroughly clarify. As a by-product, we obtain a set of sum rules that could
be used to constrain future calculations of $\gamma^*\gamma^*\to\pi\pi$. We
validate the formalism extensively using the pion-box contribution, defined by
two-pion intermediate states with a pion-pole left-hand cut, and demonstrate
how the full known result is reproduced when resumming the partial waves. Using
dispersive fits to high-statistics data for the pion vector form factor, we
provide an evaluation of the full pion box,
$a_\mu^{\pi\text{-box}}=-15.9(2)\times 10^{-11}$. As an application of the
partial-wave formalism, we present a first calculation of $\pi\pi$-rescattering
effects in HLbL scattering, with $\gamma^*\gamma^*\to\pi\pi$ helicity partial
waves constructed dispersively using $\pi\pi$ phase shifts derived from the
inverse-amplitude method. In this way, the isospin-$0$ part of our calculation
can be interpreted as the contribution of the $f_0(500)$ to HLbL scattering in
$(g-2)_\mu$. We argue that the contribution due to charged-pion rescattering
implements corrections related to the corresponding pion polarizability and
show that these are moderate. Our final result for the sum of pion-box
contribution and its $S$-wave rescattering corrections reads
$a_\mu^{\pi\text{-box}} + a_{\mu,J=0}^{\pi\pi,\pi\text{-pole LHC}}=-24(1)\times
10^{-11}$.Comment: 70 pages, 14 figures, Mathematica notebook with full expressions for
  the basis change included as supplementary material. Version accepted for
  publication in JHE
From maximal to minimal supersymmetry in string loop amplitudes

We calculate one-loop string amplitudes of open and closed strings with
N=1,2,4 supersymmetry in four and six dimensions, by compactification on
Calabi-Yau and K3 orbifolds. In particular, we develop a method to combine
contributions from all spin structures for an arbitrary number of legs at
minimal supersymmetry. Each amplitude is cast into a compact form by
reorganizing the kinematic building blocks and casting the worldsheet integrals
in a basis. Infrared regularization plays an important role to exhibit the
expected factorization limits. We comment on implications for the one-loop
string effective action.Comment: 52 + 18 pages, v2: published version, minor simplifications in late
  section 3.
Augury of Darkness: The Low-Mass Dark Z' Portal

Dirac fermion dark matter models with heavy $Z^{\prime}$ mediators are
subject to stringent constraints from spin-independent direct searches and from
LHC bounds, cornering them to live near the $Z^{\prime}$ resonance. Such
constraints can be relaxed, however, by turning off the vector coupling to
Standard Model fermions, thus weakening direct detection bounds, or by
resorting to light $Z^{\prime}$ masses, below the Z pole, to escape heavy
resonance searches at the LHC. In this work we investigate both cases, as well
as the applicability of our findings to Majorana dark matter. We derive
collider bounds for light $Z^{\prime}$ gauge bosons using the $CL_S$ method,
spin-dependent scattering limits, as well as the spin-independent scattering
rate arising from the evolution of couplings between the energy scale of the
mediator mass and the nuclear energy scale, and indirect detection limits. We
show that such scenarios are still rather constrained by data, and that near
resonance they could accommodate the gamma-ray GeV excess in the Galactic
center.Comment: 25 pages, 6 Figures. Typos correcte
Naturally Small Dirac Neutrino Mass with Intermediate $SU(2)_{L}$
  Multiplet Fields

If neutrinos are Dirac fermions, certain new physics beyond the standard
model should exist to account for the smallness of neutrino mass. With two
additional scalars and a heavy intermediate fermion, in this paper, we
systematically study the general mechanism that can natrally generate the tiny
Dirac neutrino mass at tree and in one-loop level. For tree level models, we
focus on natural ones, in which the additional scalars develop small vacuum
expectation values without fine-tuning. For one-loop level models, we explore
those having dark matter candidates under $Z_2^D$ symmetry. In both cases, we
concentrate on $SU(2)_L$ multiplet scalars no larger than quintuplet, and
derive the complete sets of viable models. Phenomenologies, such as lepton
flavor violation, leptogenesis, and LHC signatures are briefly discussed.Comment: 31 pages, 16 figure
Charged Black Rings at large D

We study the charged slowly rotating black holes in the Einstein-Maxwell
theory in the large dimensions. By using the 1/D expansion in the near region
of the black hole we obtain the effective equations for the charged slowly
rotating black holes. The effective equations describe the charged black ring,
the charged slowly rotating Myers-Perry black hole and the charged slowly
boosted black string as stationary solutions. By embedding the solution of the
effective equations into the flat spacetime background in the ring coordinate
we obtain the charged black ring solution at large D analytically. We find that
the charge lowers the angular momentum of the black ring due to the regular
condition on the solution. By the perturbation analysis of the effective
equations, we obtain the quasinormal modes of the charge perturbation and the
gravitational perturbation analytically. Like the neutral case the charged thin
black ring suffers from the Gregory-Laflamme-like instability under
non-axisymmetric perturbations, but the charge helps weaken the instability.
Besides, we find that the large D analysis always respect the cosmic
censorship.Comment: 34 pages, 4 figure
On a realization of $\{\beta\}$-expansion in QCD

We suggest a simple algebraic approach to fix the elements of the $\{ \beta
\}$-expansion for renormalization group invariant quantities, which uses
additional degrees of freedom. The approach is discussed in detail for N$^2$LO
calculations in QCD with the MSSM gluino -- an additional degree of freedom. We
derive the formulae of the $\{ \beta \}$-expansion for the nonsinglet Adler
$D$-function and Bjorken polarized sum rules in the actual N$^3$LO within this
quantum field theory scheme with the MSSM gluino and the scheme with the second
additional degree of freedom. We discuss the properties of the $\{ \beta
\}$-expansion for higher orders considering the N$^4$LO as an example.Comment: 14 pages, Introduction, Sec.2, Conclusion are significantly improve
Scale Anomalies, States, and Rates in Conformal Field Theory

This paper presents two methods to compute scale anomaly coefficients in
conformal field theories (CFTs), such as the c anomaly in four dimensions, in
terms of the CFT data. We first use Euclidean position space to show that the
anomaly coefficient of a four-point function can be computed in the form of an
operator product expansion (OPE), namely a weighted sum of OPE coefficients
squared. We compute the weights for scale anomalies associated with scalar
operators and show that they are not positive. We then derive a different sum
rule of the same form in Minkowski momentum space where the weights are
positive. The positivity arises because the scale anomaly is the coefficient of
a logarithm in the momentum space four-point function. This logarithm also
determines the dispersive part, which is a positive sum over states by the
optical theorem. The momentum space sum rule may be invalidated by UV and/or IR
divergences, and we discuss the conditions under which these singularities are
absent. We present a detailed discussion of the formalism required to compute
the weights directly in Minkowski momentum space. A number of explicit checks
are performed, including a complete example in an 8-dimensional free field
theory.Comment: 39 pages, 7 figure
The MSR mass and the O(Ʌqcd) renormalon sum rule

We provide a detailed description and analysis of a low-scale short-distance mass scheme, called the MSR mass, that is useful for high-precision top quark mass determinations, but can be applied for any heavy quark Q. In contrast to earlier low-scale short-distance mass schemes, the MSR scheme has a direct connection to the well known (MS) over bar mass commonly used for high-energy applications, and is determined by heavy quark on-shell self-energy Feynman diagrams. Indeed, the MSR mass scheme can be viewed as the simplest extension of the (MS) over bar mass concept to renormalization scales << m(Q). The MSR mass depends on a scale R that can be chosen freely, and its renormalization group evolution has a linear dependence on R, which is known as R-evolution. Using R-evolution for the MSR mass we provide details of the derivation of an analytic expression for the normalization of the O(A(QCD)) renormalon asymptotic behavior of the pole mass in perturbation theory. This is referred to as the O(A(QCD)) renormalon sum rule, and can be applied to any perturbative series. The relations of the MSR mass scheme to other low-scale short-distance masses are analyzed as well