pinecone/core-2020-05-10-deduplication huggingface dataset:
The ground state of long-range Schrodinger equations and static
  $q\bar{q}$ potential

Motivated by the recent results in arXiv:1601.05679 about the quark-antiquark
potential in $\mathcal N=4$ SYM, we reconsider the problem of computing the
asymptotic weak-coupling expansion of the ground state energy of a certain
class of 1d Schr\"odinger operators $-\frac{d^{2}}{dx^{2}}+\lambda\,V(x)$ with
long-range potential $V(x)$. In particular, we consider even potentials obeying
$\int_{\mathbb R}dx\, V(x)<0$ with large $x$ asymptotics $V\sim
-a/x^{2}-b/x^{3}+\cdots$. The associated Schr\"odinger operator is known to
admit a bound state for $\lambda\to 0^{+}$, but the binding energy is
rigorously non-analytic at $\lambda=0$. Its asymptotic expansion starts at
order $\mathcal O(\lambda)$, but contains higher corrections
$\lambda^{n}\,\log^{m}\lambda$ with all $0\le m\le n-1$ and standard
Rayleigh-Schr\"odinger perturbation theory fails order by order in $\lambda$.
We discuss various analytical tools to tame this problem and provide the
general expansion of the binding energy at $\mathcal O(\lambda^{3})$ in terms
of quadratures. The method is tested on a soluble potential that is fully under
control, and on various non-soluble cases as well. A supersymmetric case,
arising in the study of the quark-antiquark potential in $\mathcal N=6$ ABJ(M)
theory, is also exploited to provide a further non-trivial consistency check.
Our analytical results confirm at third order a remarkable exponentiation of
the leading infrared logarithms, first noticed in $\mathcal N=4$ SYM where it
may be proved by Renormalization Group arguments. We prove this interesting
feature at all orders at the level of the Schr\"odinger equation for general
potentials in the considered class.Comment: 30 pages, 1 figur
On the origin of constrained superfields

In this work we analyze constrained superfields in supersymmetry and
supergravity. We propose a constraint that, in combination with the constrained
goldstino multiplet, consistently removes any selected component from a generic
superfield. We also describe its origin, providing the operators whose
equations of motion lead to the decoupling of such components. We illustrate
our proposal by means of various examples and show how known constraints can be
reproduced by our method.Comment: 20 pages, to be published in JHE
Extending the MINLO method

We consider improving POWHEG+MINLO simulations, so as to also render them NLO
accurate in the description of observables receiving contributions from events
with lower parton multiplicity than present in their underlying NLO
calculation. On a conceptual level we follow the strategy of the so-called
MINLO' programs. Whereas the existing MINLO' framework requires explicit
analytic input from higher order resummation, here we derive an effective
numerical approximation to these ingredients, by imposing unitarity. This
offers a way of extending the MINLO' method to more complex processes,
complementary to the known route which uses explicit computations of
high-accuracy resummation inputs. Specifically, we have focused on
Higgs-plus-two-jet production (HJJ) and related processes. We also consider how
one can cover three units of multiplicity at NLO accuracy, i.e. we consider how
the HJJ-MINLO simulation may yield NLO accuracy for inclusive H, HJ, and HJJ
quantities. We perform a feasibility study assessing the potential of these
ideas.Comment: 66 pages, 22 figures; v2 references added; v3=JHEP, improved
  readabilit
Mixed OPEs in ${\mathcal N}=2$ Superconformal Theories

Using superspace techniques, we compute the mixed OPE between an ${\mathcal
N}=2$ stress-tensor multiplet, a chiral multiplet and a flavor current
multiplet. We perform a detailed analysis of the three-point function between
two of the mentioned multiplets and a third arbitrary operator. We then solve
all the constraints coming from the ${\mathcal N}=2$ superconformal symmetry
and from the equations of motion and/or conservation equations, and obtain all
the possible operators that can appear in the expansion. This calculation is
the first step towards a more general superconformal block analysis of mixed
correlators in ${\mathcal N}=2$ theories.Comment: Fixed typos in Eq (3.11), (3.13), (3.14), (3.20) and (3.30
UV (in)sensitivity of Higgs inflation

The predictions of Standard Model Higgs inflation are in excellent agreement
with the Planck data, without the need for new fields. However, consistency of
the theory requires the presence of (unknown) threshold corrections. These
modify the running of the couplings, and thereby change the shape of the
inflationary potential. This raises the question how sensitive the CMB
parameters are to the UV completion. We show that, due to a precise
cancellation, the inflationary predictions are almost unaffected. This implies
in general that one cannot relate the spectral index and tensor-to-scalar ratio
to the precise top and Higgs mass measurements at the LHC, nor can one probe
effects of UV physics on the running.Comment: 30 pages, 3 figure
On the fate of the Standard Model at finite temperature

In this paper we revisit and update the computation of thermal corrections to
the stability of the electroweak vacuum in the Standard Model. At zero
temperature, we make use of the full two-loop effective potential, improved by
three-loop beta functions with two-loop matching conditions. At finite
temperature, we include one-loop thermal corrections together with resummation
of daisy diagrams. We solve numerically---both at zero and finite
temperature---the bounce equation, thus providing an accurate description of
the thermal tunneling. Assuming a maximum temperature in the early Universe of
the order of $10^{18}$ GeV, we find that at finite temperature the instability
bound excludes values of the top mass $M_t \gtrsim 173.6$ GeV, with $M_h \simeq
125$ GeV and including uncertainties on the strong coupling. We discuss the
validity and temperature-dependence of this bound in the early Universe, with a
special focus on the reheating phase after inflation.Comment: 13 pages (two-column format), 13 figure
Sterile neutrino Dark Matter production from scalar decay in a thermal
  bath

We calculate the production rate of singlet fermions from the decay of
neutral or charged scalar fields in a hot plasma. We find that there are
considerable thermal corrections when the temperature of the plasma exceeds the
mass of the decaying scalar. We give analytic expressions for the
temperature-corrected production rates in the regime where the decay products
are relativistic. We also study the regime of non-relativistic decay products
numerically. Our results can be used to determine the abundance and momentum
distribution of Dark Matter particles produced in scalar decays. The inclusion
of thermal corrections helps to improve predictions for the free streaming of
the Dark Matter particles, which is crucial to test the compatibility of a
given model with cosmic structure formation. With some modifications, our
results may be generalised to the production of other Dark Matter candidates in
scalar decays.Comment: This version matches the one published in JHEP. 44 pages, 10 figure
Mixed symmetry tensors in the worldline formalism

We consider the first quantised approach to quantum field theory coupled to a non-Abelian gauge field. Representing the colour degrees of freedom with a single family of auxiliary variables the matter field transforms in a reducible representation of the gauge group which — by adding a suitable Chern-Simons term to the particle action — can be projected onto a chosen fully (anti-)symmetric representation. By considering F families of auxiliary variables, we describe how to extend the model to arbitrary tensor products of F reducible representations, which realises a U(F) “flavour” symmetry on the world- line particle model. Gauging this symmetry allows the introduction of constraints on the Hilbert space of the colour fields which can be used to project onto an arbitrary irreducible representation, specified by a certain Young tableau. In particular the occupation num- bers of the wavefunction — i.e. the lengths of the columns (rows) of the Young tableau — are fixed through the introduction of Chern-Simons terms. We verify this projection by calculating the number of colour degrees of freedom associated to the matter field. We sug- gest that, using the worldline approach to quantum field theory, this mechanism will allow the calculation of one-loop scattering amplitudes with the virtual particle in an arbitrary representation of the gauge group
Non-BPS exact solutions and their relation to bions in ${\mathbb
  C}P^{N-1}$ models

We investigate non-BPS exact solutions in ${\mathbb C}P^{N-1}$ sigma models
on ${\mathbb R}^1 \times S^{1}$ with twisted boundary conditions, by using the
Din-Zakrzewski projection method. We focus on the relation of the non-BPS
solutions to the ansatz of multi-instanton (bion) configurations and discuss
their significance in the context of the resurgence theory. We find that the
transition between seemingly distinct configurations of multi-instantons occur
as moduli changes in the non-BPS solutions, and the simplest non-BPS exact
solution corresponds to multi-bion configurations with fully-compressed double
fractional instantons in the middle. It indicates that the non-BPS solutions
make small but nonzero contribution to the resurgent trans-series as special
cases of the multi-bion configurations. We observe a generic pattern of
transitions between distinct multi-bion configurations (flipping partners),
leading to the three essential properties of the non-BPS exact solution: (i)
opposite sign for terms corresponding to the left and right infinities, (ii)
symmetric location of fractional instantons, and (iii) the transition between
distinct bion configurations. By studying the balance of forces, we show that
the relative phases between the instanton constituents play decisive roles in
stability and instability of the muli-instanton configurations. We discuss
local and global instabilities of the solutions such as negative modes and the
flow to the other saddle points, by considering the deformations of the non-BPS
exact solutions within our multi-instanton ansatz. We also briefly discuss some
classes of the non-BPS exact solutions in Grassmann sigma models.Comment: 48 pages, 34 figure
High precision determination of the gluon fusion Higgs boson cross-section at the LHC

We present the most precise value for the Higgs boson cross-section in the gluon-fusion production mode at the LHC. Our result is based on a perturbative expansion through N$^3$LO in QCD, in an effective theory where the top-quark is assumed to be infinitely heavy, while all other Standard Model quarks are massless. We combine this result with QCD corrections to the cross-section where all finite quark-mass effects are included exactly through NLO. In addition, electroweak corrections and the first corrections in the inverse mass of the top-quark are incorporated at three loops. We also investigate the effects of threshold resummation, both in the traditional QCD framework and following a SCET approach, which resums a class of $\pi^2$ contributions to all orders. We assess the uncertainty of the cross-section from missing higher-order corrections due to both perturbative QCD effects beyond N$^3$LO and unknown mixed QCD-electroweak effects. In addition, we determine the sensitivity of the cross-section to the choice of parton distribution function (PDF) sets and to the parametric uncertainty in the strong coupling constant and quark masses. For a Higgs mass of $m_H = 125~{\rm GeV}$ and an LHC center-of-mass energy of $13~{\rm TeV}$, our best prediction for the gluon\ud
fusion cross-section is \[ \sigma = 48.58\,{\rm pb} {}^{+2.22\, {\rm pb}\, (+4.56\%)}_{-3.27\, {\rm pb}\, (-6.72\%)} \mbox{ (theory)} \pm 1.56 \,{\rm pb}\, (3.20\%) \mbox{ (PDF+$\alpha_s$)} \
F-theory and 2d (0,2) Theories

F-theory compactified on singular, elliptically fibered Calabi-Yau five-folds
gives rise to two-dimensional gauge theories preserving N=(0,2) supersymmetry.
In this paper we initiate the study of such compactifications and determine the
dictionary between the geometric data of the elliptic fibration and the 2d
gauge theory such as the matter content in terms of (0,2) superfields and their
supersymmetric couplings. We study this setup both from a gauge-theoretic point
of view, in terms of the partially twisted 7-brane theory, and provide a global
geometric description based on the structure of the elliptic fibration and its
singularities. Global consistency conditions are determined and checked against
the dual M-theory compactification to one dimension. This includes a discussion
of gauge anomalies, the structure of the Green-Schwarz terms and the
Chern-Simons couplings in the dual M-theory supersymmetric quantum mechanics.
Furthermore, by interpreting the resulting 2d (0,2) theories as heterotic
worldsheet theories, we propose a correspondence between the geometric data of
elliptically fibered Calabi-Yau five-folds and the target space of a heterotic
gauged linear sigma-model (GLSM). In particular the correspondence between the
Landau-Ginsburg and sigma-model phase of a 2d (0,2) GLSM is realized via
different T-branes or gluing data in F-theory.Comment: 124 pages, 5 figures, v2: ref added, v3: typos corrected, discussion
  of interactions extended, v4: updated section 12, v5: typos corrected and
  refs adde
Exotic Brane Junctions from F-theory

Applying string dualities to F-theory, we obtain various $[p,q]$-branes whose
constituents are standard branes of codimension two and exotic branes. We
construct junctions of the exotic five-branes and their Hanany-Witten
transitions associated with those in F-theory. In this procedure, we understand
the monodromy of the single $5^2_2$-brane. We also find the objects which are
sensitive to the branch cut of the $5^2_2$-brane. Considering the web of branes
in the presence of multiple exotic five-branes analogous to the web of
five-branes with multiple seven-branes, we obtain novel brane constructions for
$SU(2)$ gauge theories with $n$ flavors and their superconformal limit with
enhanced $E_{n+1}$ symmetry in five, four, and three dimensions. Hence,
adapting the techniques of the seven-branes to the exotic branes, we will be
able to construct F-theories in diverse dimensions.Comment: 26 pages, version published in JHE
Momentum Fractionation on Superstrata

Superstrata are bound states in string theory that carry D1, D5, and momentum
charges, and whose supergravity descriptions are parameterized by arbitrary
functions of (at least) two variables. In the D1-D5 CFT, typical three-charge
states reside in high-degree twisted sectors, and their momentum charge is
carried by modes that individually have fractional momentum. Understanding this
momentum fractionation holographically is crucial for understanding typical
black-hole microstates in this system. We use solution-generating techniques to
add momentum to a multi-wound supertube and thereby construct the first
examples of asymptotically-flat superstrata. The resulting supergravity
solutions are horizonless and smooth up to well-understood orbifold
singularities. Upon taking the AdS3 decoupling limit, our solutions are dual to
CFT states with momentum fractionation. We give a precise proposal for these
dual CFT states. Our construction establishes the very nontrivial fact that
large classes of CFT states with momentum fractionation can be realized in the
bulk as smooth horizonless supergravity solutions.Comment: 68 pages, v3: minor clarifications, typos correcte
Structure of K\"ahler potential for D-term inflationary attractor models

Minimal chaotic models of D-term inflation predicts too large primordial
tensor perturbations. Although it can be made consistent with observations
utilizing higher order terms in the K\"ahler potential, expansion is not
controlled in the absence of symmetries. We comprehensively study the
conditions of K\"ahler potential for D-term plateau-type potentials and discuss
its symmetry. They include the alpha-attractor model with a massive vector
supermultiplet and its generalization leading to pole inflation of arbitrary
order. We extend the models so that it can describe Coulomb phase, gauge
anomaly is cancelled, and fields other than inflaton are stabilized during
inflation. We also point out a generic issue for large-field D-term inflation
that the masses of the non-inflaton fields tend to exceed the Planck scale.Comment: 31 pages, 3 figures; version 2, published version, minor revisio
Hawking from Catalan

The Virasoro algebra determines all `graviton' matrix elements in
AdS$_3$/CFT$_2$. We study the explicit exchange of any number of Virasoro
gravitons between heavy and light CFT$_2$ operators at large central charge.
These graviton exchanges can be written in terms of new on-shell tree diagrams,
organized in a perturbative expansion in $h_H/c$, the heavy operator dimension
divided by the central charge. The Virasoro vacuum conformal block, which is
the sum of all the tree diagrams, obeys a differential recursion relation
generalizing that of the Catalan numbers. We use this recursion relation to sum
the on-shell diagrams to all orders, computing the Virasoro vacuum block.
Extrapolating to large $h_H/c$ determines the Hawking temperature of a BTZ
black hole in dual AdS$_3$ theories.Comment: 19+8 pages, 5 figure
Four Loop Scattering in the Nambu-Goto Theory

We initiate the study of multiloop scattering amplitudes in the Nambu-Goto
theory on the worldsheet of a non-critical string. We start with a brute force
calculation of two loop four particle scattering. Somewhat surprisingly, even
though non-trivial UV counterterms are present at this order, on-shell
amplitudes remain polynomial in the momenta of colliding particles. We show
that this can be understood as a consequence of existence of certain close by
(semi)integrable models. Furthermore, these arguments can be extended to obtain
the answer for three and four loop scattering, bypassing the brute force
calculation. The resulting amplitudes develop non-polynomial (logarithmic)
dependence on the momenta starting at three loops.Comment: Removed superfluous copy of figure. Corrected sign typos in equation
  (19
Dissecting zero modes and bound states on BPS vortices in
  Ginzburg-Landau superconductors

In this paper the zero modes of fluctuation of cylindrically symmetric
self-dual vortices are analyzed and described in full detail. These BPS
topological defects arise at the critical point between Type II and Type I
superconductors, or, equivalently, when the masses of the Higgs particle and
the vector boson in the Abelian Higgs model are equal. In addition, novel bound
states of Higss and vector bosons trapped by the self-dual vortices at their
core are found and investigated.Comment: 29 pages, 51 figure
Elliptic genera from multi-centers

I show how elliptic genera for various Calabi-Yau threefolds may be
understood from supergravity localization using the quantization of the phase
space of certain multi-center configurations. I present a simple procedure that
allows for the enumeration of all multi-center configurations contributing to
the polar sector of the elliptic genera\textemdash explicitly verifying this in
the cases of the quintic in $\mathbb{P}^4$, the sextic in
$\mathbb{WP}_{(2,1,1,1,1)}$, the octic in $\mathbb{WP}_{(4,1,1,1,1)}$ and the
dectic in $\mathbb{WP}_{(5,2,1,1,1)}$. With an input of the corresponding
`single-center' indices (Donaldson-Thomas invariants), the polar terms have
been known to determine the elliptic genera completely. I argue that this
multi-center approach to the low-lying spectrum of the elliptic genera is a
stepping stone towards an understanding of the exact microscopic states that
contribute to supersymmetric single center black hole entropy in
$\mathcal{N}=2$ supergravity.Comment: 30+1 pages, Published Versio
Unitarity methods for Mellin moments of Drell-Yan cross sections

We develop a method for computing Mellin moments of single inclusive cross
sections such as Drell-Yan production directly from forward scattering
diagrams, by invoking unitarity in the form of cutting equations. We provide a
diagram-independent prescription for eliminating contributions from unwanted
cuts at the level of an expansion in the reciprocal omega=1/z variable. The
modified sum over powers of omega produces the result from physical cuts only,
with the nth coefficient precisely equal to the nth Mellin moment of the cross
section. We demonstrate and validate our method for representative one- and
two-loop diagrams.Comment: 37 pages with 13 figure
Orthogonal Nilpotent Superfields from Linear Models

We derive supersymmetry/supergravity models with constrained orthogonal
nilpotent superfields from the linear models in the formal limit where the
masses of the sgoldstino, inflatino and sinflaton tend to infinity. The case
where the sinflaton mass remains finite leads to a model with a `relaxed'
constraint, where the sinflaton remains an independent field. Our procedure is
equivalent to a requirement that some of the components of the curvature of the
moduli space tend to infinity.Comment: 18 pages, minor textual changes, small corrections, no conceptual
  changes. Added appendix C and extended appendix
Search for sphalerons : IceCube vs. LHC.

We discuss the observability of neutrino-induced sphaleron transitions in the IceCube detector, encouraged by a recent paper by Tye and Wong (TW), which argued on the basis of a Bloch wave function in the periodic sphaleron potential that such transitions should be enhanced compared to most previous calculations. We calculate the dependence on neutrino energy of the sphaleron transition rate, comparing it to that for conventional neutrino interactions, and we discuss the observability of tau and multi-muon production in sphaleron-induced transitions. We use IceCube 4-year data to constrain the sphaleron rate, finding that it is comparable to the upper limit inferred previously from a recast of an ATLAS search for microscopic black holes at the LHC with ∼ 3/fb of collisions at 13 TeV. The IceCube constraint is stronger for a sphaleron barrier height ESph ≳ 9 TeV, and would be comparable with the prospective LHC sensitivity with 300/fb of data at 14 TeV if ESph ∼ 11 TeV
CHY formula and MHV amplitudes

In this paper, we study the relation between the Cachazo-He-Yuan (CHY)
formula and the maximal-helicity-violating (MHV) amplitudes of Yang-Mills and
gravity in four dimensions. We prove that only one special rational solution of
the scattering equations found by Weinzierl support the MHV amplitudes. Namely,
localized at this solution, the integrated CHY formula reproduces the
Parke-Taylor formula for Yang-Mills amplitudes as well as the Hodges formula
for gravitational amplitudes. This is achieved by developing techniques, in a
manifestly M\"obius covariant formalism, to explicitly compute relevant reduced
Pfaffians/determinants. We observe and prove two interesting properties (or
identities), which facilitate the computations. We also check that all the
other $(n-3)!-1$ solutions to the scattering equations do not support the MHV
amplitudes, and prove analytically that this is indeed true for the other
special rational solution proposed by Weinzierl, that actually supports the
anti-MHV amplitudes.Comment: 28 pages, 4 figures, published versio