pinecone/core-2020-05-10-deduplication huggingface dataset:
N$_f$ = 1 QCD in External Magnetic Fields: Staggered Fermions

We investigate N$_f$ = 1 QCD in external magnetic fields on the lattice. The
background field is introduced by means of the so-called Schrodinger
functional. We adopt standard staggered fermions with constant bare mass $am =
0.025$ and magnetic fields with constant magnetic flux up to $a^2 e H \simeq
2.3562$. We find that the the deconfinement and chiral symmetry restoration
temperatures do not depend on the strength of the applied magnetic field. Our
method allow us to easily study the effects of the external magnetic fields on
the QCD thermodynamics. We determine the influences of applied magnetic fields
to the free energy, pressure, and equation of state of strongly interacting
matter.Comment: 21 pages, 11 figures; revised version accepted for publication in
  JHE
Semiclassical Approach to Heterogeneous Vacuum Decay

We derive the decay rate of an unstable phase of a quantum field theory in
the presence of an impurity in the thin-wall approximation. This derivation is
based on the how the impurity changes the (flat spacetime) geometry relative to
case of pure false vacuum. Two examples are given that show how to estimate
some of the additional parameters that enter into this heterogeneous decay
rate. This formalism is then applied to the Higgs vacuum of the Standard Model
(SM), where baryonic matter acts as an impurity in the electroweak Higgs
vacuum. We find that the probability for heterogeneous vacuum decay to occur is
suppressed with respect to the homogeneous case. That is to say, the
conclusions drawn from the homogeneous case are not modified by the inclusion
of baryonic matter in the calculation. On the other hand, we show that Beyond
the Standard Model physics with a characteristic scale comparable to the scale
that governs the homogeneous decay rate in the SM, can in principle lead to an
enhanced decay rate.Comment: v3: version published in JHEP, very minor changes from v
Confinement-Higgs Phase Crossover as a Lattice Artifact in 1+1
  Dimensions

We examine the phase structure of massive Yang-Mills theory in 1+1
dimensions. This theory is equivalent to a gauged principal chiral sigma model.
It has been previously shown that the gauged theory has only a confined phase,
and no Higgs phase in the continuum, and at infinite volume. There are no
massive gluons, but only hadron-like bound states of sigma-model particles. The
reason is that the gluon mass diverges, being proportional to the two-point
correlation function of the renormalized field of the sigma model at $x=0$. We
use exact large-$N$ results to show that after introducing a lattice
regularization and typical values of the coupling constants used in Monte Carlo
simulations, the gluon mass becomes finite, and even sometimes small. A smooth
crossover into a Higgs phase can then appear. For small volumes and large $N$,
we find an analytic expression for the gluon mass, which depends on the
coupling constants and the volume. We argue that this Higgs phase is
qualitatively similar to the one observed in lattice computations at $N=2$.Comment: Version accepted for publication in JHEP. Improved discussion of
  results, references adde
On the Treatment of Resonances in Next-to-Leading Order Calculations
  Matched to a Parton Shower

In this work we present a new subtraction method for next-to-leading order
calculations that is particularly convenient even when narrow resonances are
present. The method is particularly suitable for the implementation of
next-to-leading order calculations matched to parton shower generators. It
allows at the same time for the inclusion of all finite width effects,
including interferences, and for a consistent treatment of resonances in the
shower approach, preserving the mass of resonances near their peak. We
implement our method, in a fully general and automatic way, within the POWHEG
BOX framework, and illustrate it using as a test case the process of $p p \to
\mu^+ \nu_\mu j_b j$, that is dominated by $t$-channel single top production.Comment: 48 pages, 21 figure
Scaling Relations in Two-Dimensional Relativistic Hydrodynamic
  Turbulence

We derive exact scaling relations for two-dimensional relativistic
hydrodynamic turbulence in the inertial range of scales. We consider both the
energy cascade towards large scales and the enstrophy cascade towards small
scales. We illustrate these relations by numerical simulations of turbulent
weakly compressible flows. Intriguingly, the fluid-gravity correspondence
implies that the gravitational field in spacetimes with anti-de Sitter
asymptotics should exhibit similar scaling relations.Comment: 22 pages, 9 figures, minor typos correcte
New supersymmetric index of heterotic compactifications with torsion

We compute the new supersymmetric index of a large class of N=2 heterotic
compactifications with torsion, corresponding to principal two-torus bundles
over warped K3 surfaces with H-flux. Starting from a UV description as a (0,2)
gauged linear sigma-model with torsion, we use supersymmetric localization
techniques to provide an explicit expression of the index as a sum over the
Jeffrey-Kirwan residues of the one-loop determinant. We finally propose a
geometrical formula that gives the new supersymmetric index in terms of bundle
data, regardless of any particular choice of underlying two-dimensional theory.Comment: 53 pages. Version 2 to be published in JHEP: added proof of the
  geometrical formula for the quartic, few minor clarifications and typos
  correcte
Topological Susceptibility from Slabs

In quantum field theories with topological sectors, a non-perturbative
quantity of interest is the topological susceptibility chi_t. In principle it
seems straightforward to measure chi_t by means of Monte Carlo simulations.
However, for local update algorithms and fine lattice spacings, this tends to
be difficult, since the Monte Carlo history rarely changes the topological
sector. Here we test a method to measure chi_t even if data from only one
sector are available. It is based on the topological charges in sub-volumes,
which we denote as slabs. Assuming a Gaussian distribution of these charges,
this method enables the evaluation of chi_t, as we demonstrate with numerical
results for non-linear sigma-models.Comment: 23 pages, 8 figures, 6 table
Discovering Uncolored Naturalness in Exotic Higgs Decays

Solutions to the hierarchy problem usually require top partners. In standard
SUSY or composite Higgs theories, the partners carry SM color and are becoming
increasingly constrained by LHC searches. However, theories like Folded SUSY
(FS), Twin Higgs (TH) and Quirky Little Higgs (QLH) introduce uncolored top
partners, which can be SM singlets or carry electroweak charge. Their small
production cross section left doubt as to whether the LHC can effectively probe
such scenarios. Typically, these partners are charged under their own mirror
color gauge group. In FS and QLH, the absence of light mirror matter allows
glueballs to form at the bottom of the mirror spectrum. This is also the case
in some TH realizations. The Higgs can decay to these mirror glueballs, with
the glueballs decaying into SM particles with potentially observable lifetimes.
We undertake the first detailed study of this glueball signature and
quantitatively demonstrate the discovery potential of uncolored naturalness via
exotic Higgs decays at the LHC and a potential future 100 TeV collider. Our
findings indicate that mirror glueballs are the smoking gun signature of
natural FS and QLH type theories, in analogy to tree-level Higgs coupling
shifts for the TH. We show that glueball masses in the $\sim$ 10-60 GeV mass
range are theoretically preferred. Careful treatment of lifetime,
mirror-hadronization and nonperturbative uncertainties is required to perform
meaningful collider studies. We outline several new search strategies for
exotic Higgs decays of the form $h\to XX \to 4f$ at the LHC, with $X$ having
lifetimes in the $10 \mu m$ to $km$ range. We find that FS stops can be probed
with masses up to 600 (1100) GeV at the LHC with 300 (3000) /fb of data, and TH
top partners could be accessible with masses up to 900 (1500) GeV. This makes
exotic Higgs decays the prime discovery channel for uncolored naturalness at
the LHC.Comment: 31 pages + references, 10 figures. Extended sensitivity projections
  to glueball masses below 12 GeV, added model-independent presentation of
  limits, improved modeling of displaced vertex triggering and reconstruction.
  Conclusions unchange
Holographic Black Hole Chemistry

Thermodynamic quantities associated with black holes in Anti-de Sitter space
obey an interesting identity when the cosmological constant is included as one
of the dynamical variables, the generalized Smarr relation. We show that this
relation can easily be understood from the point of view of the dual
holographic field theory. It amounts to the simple statement that the extensive
thermodynamic quantities of a large $N$ gauge theory only depend on the number
of colors, $N$, via an overall factor of $N^2$.Comment: 13 page
Supersymmetry Restoration in Superstring Perturbation Theory

Superstring perturbation theory based on the 1PI effective theory approach
has been useful for addressing the problem of mass renormalization and vacuum
shift. We derive Ward identities associated with space-time supersymmetry
transformation in this approach. This leads to a proof of the equality of
renormalized masses of bosons and fermions and identities relating fermionic
amplitudes to bosonic amplitudes after taking into account the effect of mass
renormalization. This also relates unbroken supersymmetry to a given order in
perturbation theory to absence of tadpoles of massless scalars to higher order.
The results are valid at the perturbative vacuum as well as in the shifted
vacuum when the latter describes the correct ground state of the theory. We
apply this to SO(32) heterotic string theory on Calabi-Yau 3-folds where a one
loop Fayet-Iliopoulos term apparently breaks supersymmetry at one loop, but
analysis of the low energy effective field theory indicates that there is a
nearby vacuum where supersymmetry is restored. We explicitly prove that the
perturbative amplitudes of this theory around the shifted vacuum indeed satisfy
the Ward identities associated with unbroken supersymmetry. We also test the
general arguments by explicitly verifying the equality of bosonic and fermionic
masses at one loop order in the shifted vacuum, and the appearance of two loop
dilaton tadpole in the perturbative vacuum where supersymmetry is expected to
be broken.Comment: LaTeX file, 111 pages; v2: corrected eqs.(3.6)-(3.9) and
  (3.11)-(3.15), added referenc
Charge-Hyperscaling Violating Lifshitz hydrodynamics from black-holes

Non-equilibrium black hole horizons are considered in scaling theories with
generic Lifshitz invariance and an unbroken U(1) symmetry. There is also
charge-hyperscaling violation associated with a non-trivial conduction
exponent. The boundary stress tensor is computed and renormalized and the
associated hydrodynamic equations derived. Upon a non-trivial redefinition of
boundary sources associated with the U(1) gauge field, the equations are mapped
to the standard non-relativistic hydrodynamics equations coupled to a mass
current and an external Newton potential in accordance with the general theory
of [arXiv:1502.00228]. The shear viscosity to entropy ratio is the same as in
the relativistic case.Comment: 44 pages, v2: minor improvements and a list of definitions added, 48
  pages, v3: Published version, many minor misprints corrected, 57 page
Semiclassical Virasoro Blocks from AdS$_3$ Gravity

We present a unified framework for the holographic computation of Virasoro
conformal blocks at large central charge. In particular, we provide bulk
constructions that correctly reproduce all semiclassical Virasoro blocks that
are known explicitly from conformal field theory computations. The results
revolve around the use of geodesic Witten diagrams, recently introduced in
arXiv:1508.00501, evaluated in locally AdS$_3$ geometries generated by
backreaction of heavy operators. We also provide an alternative computation of
the heavy-light semiclassical block -- in which two external operators become
parametrically heavy -- as a certain scattering process involving higher spin
gauge fields in AdS$_3$; this approach highlights the chiral nature of Virasoro
blocks. These techniques may be systematically extended to compute corrections
to these blocks and to interpolate amongst the different semiclassical regimes.Comment: 32 pages + refs. v2: fixed figure glitc
Domain walls inside localised orientifolds

International audienceThe equations of motion of toroidal orientifold compactifications with fluxes are in one-to-one correspondence with gauged supergravity if the orientifold (and D-brane) sources are smeared over the compact space. This smeared limit is identical to the approximation that ignores warping. It is therefore relevant to compare quantities obtained from the gauged supergravity with the true 10d solution with localised sources. In this paper we find the correspondence between BPS domain walls in gauged SUGRA and 10D SUGRA with localised sources. Our model is the simplest orientifold with fluxes we are aware of: an O6/D6 compactification on T 3 /Z 2 in massive IIA with H 3-flux. The BPS domain walls correspond to a O6/D6/NS5/D8 bound state. Our analysis reveals that the domain wall energy computed in gauged SUGRA is unaffected by the localisation of the O6/D6 sources
On some 3-point functions in the $W_4$ CFT and related braiding matrix

We construct a class of 3-point constants in the $sl(4)$ Toda conformal
theory $W_4$, extending the examples in Fateev and Litvinov. Their knowledge
allows to determine the braiding/fusing matrix transforming 4-point conformal
blocks of one fundamental, labelled by the 6-dimensional $sl(4)$
representation, and three partially degenerate vertex operators. It is a $3
\times 3$ submatrix of the generic $6 \times 6$ fusing matrix consistent with
the fusion rules for the particular class of representations. We check a
braiding relation which has wider applications to conformal models with $sl(4)$
symmetry. The 3-point constants in dual regions of central charge are compared
in preparation for a BPS like relation in the $\hat{sl}(4)$ WZW model.Comment: 27 pages, TeX with harvmac; v2: Content substantially extended, new
  references adde
Entanglement renormalization and integral geometry

We revisit the applications of integral geometry in AdS$_3$ and argue that
the metric of the kinematic space can be realized as the entanglement contour,
which is defined as the additive entanglement density. From the renormalization
of the entanglement contour, we can holographically understand the operations
of disentangler and isometry in multi-scale entanglement renormalization
ansatz. Furthermore, a renormalization group equation of the long-distance
entanglement contour is then derived. We then generalize this integral
geometric construction to higher dimensions and in particular demonstrate how
it works in bulk space of homogeneity and isotropy.Comment: 40 pages, 7 figures. v2: discussions on the general measure added,
  typos fixed; v3: sections reorganized, various points clarified, to appear in
  JHE
Holographic Mutual Information for Singular Surfaces

We study corner contributions to holographic mutual information for
entangling regions composed of a set of disjoint sectors of a single infinite
circle in three-dimensional conformal field theories. In spite of the UV
divergence of holographic mutual information, it exhibits a first order phase
transition. We show that tripartite information is also divergent for disjoint
sectors, which is in contrast with the well-known feature of tripartite
information being finite even when entangling regions share boundaries. We also
verify the locality of corner effects by studying mutual information between
regions separated by a sharp annular region. Possible extensions to higher
dimensions and hyperscaling violating geometries is also considered for
disjoint sectors.Comment: 35 pages, 25 Figures, v2: presentation improved, v3: matches
  published version in JHE
Euclidean Wilson loops and Minimal Area Surfaces in Minkowski AdS3

The AdS/CFT correspondence relates Wilson loops in N=4 SYM theory to minimal
area surfaces in AdS5xS5 space. If the Wilson loop is Euclidean and confined to
a plane (t,x) then the dual surface is Euclidean and lives in Minkowski AdS3.
In this paper we study such minimal area surfaces generalizing previous results
obtained in the Euclidean case. Since the surfaces we consider have the
topology of a disk, the holonomy of the flat current vanishes which is
equivalent to the condition that a certain boundary Schroedinger equation has
all its solutions anti-periodic. If the potential for that Schroedinger
equation is found then reconstructing the surface and finding the area become
simpler. In particular we write a formula for the Area in terms of the
Schwarzian derivative of the contour. Finally an infinite parameter family of
analytical solutions using Riemann Theta functions is described. In this case,
both the area and the shape of the surface are given analytically and used to
check the previous results.Comment: 45 pages, 4 figures, LaTe
Spin-2 Form Factors at Three Loop in QCD

Spin-2 fields are often candidates in physics beyond the Standard Model
namely the models with extra-dimensions where spin-2 Kaluza-Klein gravitons
couple to the fields of the SM. Also, in the context of Higgs searches, spin-2
fields have been studied as an alternative to the scalar Higgs boson. In this
article, we present the complete three loop QCD radiative corrections to the
spin-2 quark-antiquark and spin-2 gluon-gluon form factors in SU(N) gauge
theory with $n_f$ light flavors. These form factors contribute to both
quark-antiquark and gluon-gluon initiated processes involving spin-2 particle
in the hadronic reactions at the LHC. We have studied the structure of infrared
singularities in these form factors up to three loop level using Sudakov
integro-differential equation and found that the anomalous dimensions
originating from soft and collinear regions of the loop integrals coincide with
those of the electroweak vector boson and Higgs form factors confirming the
universality of the infrared singularities in QCD amplitudes.Comment: 20 pages, 2 figure
Ultraviolet behavior of 6D supersymmetric Yang-Mills theories and
  harmonic superspace

We revisit the issue of higher-dimensional counterterms for the N=(1,1)
supersymmetric Yang-Mills (SYM) theory in six dimensions using the off-shell
N=(1,0) and on-shell N=(1,1) harmonic superspace approaches. The second
approach is developed in full generality and used to solve, for the first time,
the N=(1,1) SYM constraints in terms of N=(1,0) superfields. This provides a
convenient tool to write explicit expressions for the candidate counterterms
and other N=(1,1) invariants and may be conducive to proving
non-renormalization theorems needed to explain the absence of certain
logarithmic divergences in higher-loop contributions to scattering amplitudes
in N=(1,1) SYM.Comment: 55 pages, published version in JHE
Two-loop Integral Reduction from Elliptic and Hyperelliptic Curves

We show that for a class of two-loop diagrams, the on-shell part of the
integration-by-parts (IBP) relations correspond to exact meromorphic one-forms
on algebraic curves. Since it is easy to find such exact meromorphic one-forms
from algebraic geometry, this idea provides a new highly efficient algorithm
for integral reduction. We demonstrate the power of this method via several
complicated two-loop diagrams with internal massive legs. No explicit elliptic
or hyperelliptic integral computation is needed for our method.Comment: minor changes: more references adde
OPE for all Helicity Amplitudes II. Form Factors and Data Analysis

We present the general flux tube integrand for MHV and non-MHV amplitudes, in
planar N = 4 SYM theory, up to a group theoretical rational factor. We find
that the MHV and non-MHV cases only differ by simple form factors which we
derive. This information allows us to run the operator product expansion
program for all sorts of non-MHV amplitudes and to test the recently proposed
map with the so called charged pentagons transitions. Perfect agreement is
found, on a large sample of non-MHV amplitudes, with the perturbative data
available in the literature.Comment: 42 pages. v2 : minor correction to Section 2.3, typos correcte
Effective theory for neutral resonances and a statistical dissection of
  the ATLAS diboson excess

We classify the complete set of dimension-5 operators relevant for the
resonant production of a singlet of spin 0 or 2 linearly coupled to the
Standard Model (SM). We compute the decay width of such states as a function of
the effective couplings, and provide the matching to various well-motivated New
Physics scenarios. We then investigate the possibility that one of these
neutral resonances be at the origin of the excess in diboson production
recently reported by the ATLAS collaboration. We perform a shape analysis of
the excess under full consideration of the systematic uncertainties to extract
the width $\Gamma_{\rm tot}$ of the hypothetical resonance, finding it to be in
the range 26 GeV $<\Gamma_{\rm tot}<$ 144 GeV at 95\% C.L. We then point out
that the three overlapping selections $WW$, $WZ$, $ZZ$ reported by ATLAS follow
a joint trivariate Poisson distribution, which opens the possibility of a
thorough likelihood analysis of the event rates. The background systematic
uncertainties are also included in our analysis. We show that the data do not
require $W\!Z$ production and could thus in principle be explained by neutral
resonances. We then use both the information on the width and the cross
section, which prove to be highly complementary, to test the effective
Lagrangians of singlet resonances. Regarding specific models, we find that
neither scalars coupled via the Higgs-portal nor the Randall-Sundrum (RS)
radion can explain the ATLAS anomaly. The RS graviton with all matter on the
infrared (IR) brane can in principle fit the observed excess, while the RS
model with matter propagating in the bulk requires the presence of IR brane
kinetic terms for the gauge fields.Comment: 31 page
Anomalous dimensions of four-quark operators and renormalon structure of
  mesonic two-point correlators

In this work, we calculate leading-order anomalous dimension matrices for
dimension-6 four-quark operators which appear in the operator product expansion
of flavour non-diagonal and diagonal vector and axial-vector two-point
correlation functions. The infrared renormalon structure corresponding to
four-quark operators is reviewed and it is investigated how the eigenvalues of
the anomalous dimension matrices influence the singular behaviour of the $u=3$
infrared renormalon pole. It is found that compared to the large-$\beta_0$
approximation where at most quadratic poles are present, in full QCD at $N_f=3$
the most singular pole is more than cubic with an exponent $\kappa\approx 3.2$.Comment: 19 pages, 1 figure; version to appear in JHE
Partially twisted superconformal M5 brane in R-symmetry gauge field
  backgrounds

We obtain the action for a curved superconformal abelian M5 brane with the
background R-symmetry gauge field turned on. We then restrict ourselves to
superconformal M5 brane on a sphere times flat Minkowski space. We choose
R-symmetry SO(1,4) instead of SO(5), which enables us to partially twist on
Minkowski space and replace it by some curved Lorentzian manifold. We obtain M5
brane actions on $M_{1,1} \times S^4$ and $M_{1,2} \times S^3$ where actions
and all fields, including the background gauge field, are real. Dimensional
reduction along time gives real 5d SYM actions with nonabelian generalizations.Comment: 31 pages, a discussion on unitarity is adde