pinecone/core-2020-05-10-deduplication huggingface dataset:
2D Seiberg-like dualities with an adjoint matter

We consider the analogue of Kutasov-Schwimmer-Seiberg duality for
two-dimensional $\mathcal{N}=(2,2)$ $U(k)$ gauge theory with one adjoint $X$
with the superpotential $\Tr X^{l+1}$ and with fundamental and anti-fundamantal
chiral multiplets. We give the evidences for the proposed dualities by
analytically proving that the elliptic genus of dual pair coincides with each
other. For some of the dual pairs flowing to the superconformal field theory,
we show the nonperturbative truncation of the chiral ring. For the theory with
one adjoint and $N_f >k$ fundamentals, we argue the theory exhibits mass gap.Comment: 31 pages; references added and typos corrected, contents expande
Radiative Decays of the Higgs Boson to a Pair of Fermions

We revisit the radiative decays of the Higgs boson to a fermion pair
$h\rightarrow f\bar{f}\gamma$ where $f$ denotes a fermion in the Standard Model
(SM). We include the chirality-flipping diagrams via the Yukawa couplings at
the order $\mathcal{O}(y_f^2 \alpha)$, the chirality-conserving contributions
via the top-quark loops of the order $\mathcal{O}(y_t^2 \alpha^3)$, and the
electroweak loops at the order $\mathcal{O}(\alpha^4)$. The QED correction is
about $Q_f^2\times {\cal O}(1\%)$ and contributes to the running of fermion
masses at a similar level, which should be taken into account for future
precision Higgs physics. The chirality-conserving electroweak-loop processes
are interesting from the observational point of view. First, the branching
fraction of the radiative decay $h \to \mu^+\mu^- \gamma$ is about a half of
that of $h \to \mu^+\mu^-$, and that of $h \to e^+ e^- \gamma$ is more than
four orders of magnitude larger than that of $h \to e^+ e^-$, both of which
reach about $10^{-4}$. The branching fraction of $h \to \tau^+\tau^- \gamma$ is
of the order $10^{-3}$. All the leptonic radiative decays are potentially
observable at the LHC Run 2 or the HL-LHC. The kinematic distributions for the
photon energy or the fermion pair invariant mass provide non-ambiguous
discrimination for the underlying mechanisms of the Higgs radiative decay. We
also study the process $h \to c\bar c \gamma$ and evaluate the observability at
the LHC. We find it comparable to the other related studies and better than the
$h \to J/\psi\ \gamma$ channel in constraining the charm-Yukawa coupling.Comment: 23 pages, 6 figures, 6 tables; Minor corrections, references updated,
  version published in JHE
On Large $N$ Limit of Symmetric Traceless Tensor Models

For some theories where the degrees of freedom are tensors of rank $3$ or
higher, there exist solvable large $N$ limits dominated by the melonic
diagrams. Simple examples are provided by models containing one rank-$3$ tensor
in the tri-fundamental representation of the $O(N)^3$ symmetry group. When the
quartic interaction is assumed to have a special tetrahedral index structure,
the coupling constant $g$ must be scaled as $N^{-3/2}$ in the melonic large $N$
limit. In this paper we consider the combinatorics of a large $N$ theory of one
fully symmetric and traceless rank-$3$ tensor with the tetrahedral quartic
interaction; this model has a single $O(N)$ symmetry group. We explicitly
calculate all the vacuum diagrams up to order $g^8$, as well as some diagrams
of higher order, and find that in the large $N$ limit where $g^2 N^3$ is held
fixed only the melonic diagrams survive. While some non-melonic diagrams are
enhanced in the $O(N)$ symmetric theory compared to the $O(N)^3$ one, we have
not found any diagrams where this enhancement is strong enough to make them
comparable with the melonic ones. Motivated by these results, we conjecture
that the model of a real rank-$3$ symmetric traceless tensor possesses a smooth
large $N$ limit where $g^2 N^3$ is held fixed and all the contributing diagrams
are melonic. A feature of the symmetric traceless tensor models is that some
vacuum diagrams containing odd numbers of vertices are suppressed only by
$N^{-1/2}$ relative to the melonic graphs.Comment: 18 pages, 12 figures; v2: minor improvements, references adde
A universal order parameter for Inverse Magnetic Catalysis

We revisit the chiral transition in the finite density Sakai-Sugimoto model
and find that, at fixed temperature $T$, the magnetisation near the critical
line $\mu_c(B)$ acts as an order parameter to distinguish Inverse Magnetic
Catalysis from Magnetic Catalysis. Moreover, we propose a universal relation
between $\mu_c (B)$ and the magnetisation that allows us to predict the
behaviour of the former from the behaviour of the latter. We find that a
similar relation holds, at fixed chemical potential $\mu$, for the critical
line $T_c(B)$. Our results are obtained by investigating a fully numerical
solution to the relevant equations. At low temperatures our results reduce to
those obtained by Preis, Rebhan and Schmitt [JHEP 1103 (2011) 033], based on a
semi-analytic approximation.Comment: 37 pages, 17 figures; v3: References added; JHEP published versio
A supersymmetric electroweak scale seesaw model

In this paper we propose a novel supersymmetric inverse seesaw model which
has only one additional $Z_6$ symmetry. The field content is minimal to get a
viable neutrino spectrum at tree-level. Interestingly, the inverse seesaw scale
in our model is related to the scale of electroweak symmetry breaking. Due to
that origin we are less biased about hierarchies and discuss three different
types of the inverse seesaw mechanism with different phenomenologies. We can
successfully reproduce neutrino masses and mixing and our model is consistent
with current bounds on neutrinoless double beta decay, non-unitarity of the
PMNS matrix and charged lepton flavor violation.Comment: 20 pages, 1 figure; version published in JHE
Holographic 4-point correlators with heavy states

The AdS/CFT duality maps supersymmetric heavy operators with conformal
dimension of the order of the central charge to asymptotically AdS supergravity
solutions. We show that by studying the quadratic fluctuations around such
backgrounds it is possible to derive the 4-point correlators of two light and
two heavy states in the supergravity approximation. We provide an explicit
example in the AdS$_3$ setup relevant for the duality with the D1-D5 CFT.
Contrary to previously studied examples, the supergravity correlator derived in
this work differs from the result obtained at the CFT orbifold point. Our
method bypasses the difficulties of applying the standard Witten's diagrams
approach to correlators with operators of large conformal dimension and also
avoids some technical steps that have made the computation of dynamical 4-point
correlators in the AdS$_3$/CFT$_2$ context unfeasible until now.Comment: 31 pages; v3: citations added, typos correcte
Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond

We present the next-to-next-to-next-to-leading order (N^3LO) contributions to
the non-singlet splitting functions for both parton distribution and
fragmentation functions in perturbative QCD. The exact expressions are derived
for the terms contributing in the limit of a large number of colours. For the
remaining contributions, approximations are provided that are sufficient for
all collider-physics applications. From their threshold limits we derive
analytical and high-accuracy numerical results, respectively, for all
contributions to the four-loop cusp anomalous dimension for quarks, including
the terms proportional to quartic Casimir operators. We briefly illustrate the
numerical size of the four-loop corrections, and the remarkable
renormalization-scale stability of the N^3LO results, for the evolution of the
non-singlet parton distribution and the fragmentation functions. Our results
appear to provide a first point of contact of four-loop QCD calculations and
the so-called wrapping corrections to anomalous dimensions in N=4 super
Yang-Mills theory.Comment: 73 pages latex, 14 figures, ancillary Form and Fortran files, final
  version to appear in JHE
Non-integrability and Chaos with Unquenched Flavor

We study (non-)integrability and the presence of chaos in gravity dual
backgrounds of strongly coupled gauge theories with unquenched flavor,
specifically of the four-dimensional N=2 super Yang-Mills theory and the
three-dimensional ABJM theory. By examining string motion on the geometries
corresponding to backreacted D3/D7 and D2/D6 systems, we show that integrable
theories with quenched flavor become non-integrable when the virtual quark
loops are taken into account. For the string solutions in the backreacted D3/D7
system, we compute the leading Lyapunov exponent which turns out to saturate to
a positive value as the number of flavors increases. The exponent depends very
weakly on the number of flavors when they approach the number of colors. This
suggests that once a particular flavor number in the theory is reached, a
further increase does not lead to more severe chaotic phenomena, implying
certain saturation effects on chaos.Comment: 34 pages, 6 figures; v2: minor additions, references adde
Next-to-leading-order electroweak corrections to the production of three
  charged leptons plus missing energy at the LHC

The production of a neutral and a charged vector boson with subsequent decays
into three charged leptons and a neutrino is a very important process for
precision tests of the Standard Model of elementary particles and in searches
for anomalous triple-gauge-boson couplings. In this article, the first
computation of next-to-leading-order electroweak corrections to the production
of the four-lepton final states $\mu^+\mu^- e^+ \nu_e$, $\mu^+\mu^- e^-
\bar\nu_e$, $\mu^+\mu^- \mu^+\nu_\mu$, and $\mu^+\mu^- \mu^- \bar\nu_\mu$ at
the Large Hadron Collider is presented. We use the complete matrix elements at
leading and next-to-leading order, including all off-shell effects of
intermediate massive vector bosons and virtual photons. The relative
electroweak corrections to the fiducial cross sections from quark-induced
partonic processes vary between $-3\%$ and $-6\%$, depending significantly on
the event selection. At the level of differential distributions, we observe
large negative corrections of up to $-30\%$ in the high-energy tails of
distributions originating from electroweak Sudakov logarithms. Photon-induced
contributions at next-to-leading order raise the leading-order fiducial cross
section by $+2\%$. Interference effects in final states with equal-flavour
leptons are at the permille level for the fiducial cross section, but can lead
to sizeable effects in off-shell sensitive phase-space regions.Comment: 20 pages, 18 figure
Sneutrino DM in the NMSSM with inverse seesaw mechanism

In supersymmetric theories like the Next-to-Minimal Supersymmetric Standard
Model (NMSSM), the lightest neutralino with bino or singlino as its dominant
component is customarily taken as dark matter (DM) candidate. Since light
Higgsinos favored by naturalness can strength the couplings of the DM and thus
enhance the DM-nucleon scattering rate, the tension between naturalness and DM
direct detection results becomes more and more acute with the improved
experimental sensitivity. In this work, we extend the NMSSM by inverse seesaw
mechanism to generate neutrino mass, and show that in certain parameter space
the lightest sneutrino may act as a viable DM candidate, i.e. it can annihilate
by multi-channels to get correct relic density and meanwhile satisfy all
experimental constraints. The most striking feature of the extension is that
the DM-nucleon scattering rate can be naturally below its current experimental
bounds regardless of the higgsino mass, and hence it alleviates the tension
between naturalness and DM experiments. Other interesting features include that
the Higgs phenomenology becomes much richer than that of the original NMSSM due
to the relaxed constraints from DM physics and also due to the presence of
extra neutrinos, and that the signatures of sparticles at colliders are quite
different from those with neutralino as DM candidate.Comment: 33 page
Little strings on $D_n$ orbifolds

We explore two classes of 6d $\mathcal{N}=(1,0)$ little string theories
obtained from type IIA/IIB NS5-branes probing $D_n$ singularities. Their tensor
branches are described by effective gauge theories whose instanton solitons are
macroscopic little strings. We specifically study two families of 2d
$\mathcal{N}=(0,4)$ gauge theories which describe at low energy the worldsheet
dynamics of the type IIA/IIB little strings. These gauge theories are useful to
calculate the supersymmetric partition functions of the little string theories
on $\mathbf{R}^4 \times T^2$. We establish the T-duality of the little string
theories by utilizing their BPS spectra as a probe.Comment: 29 pages, 9 figures; v2: minor changes, published versio
Double Field Theory description of Heterotic gauge symmetry
  enhancing-breaking

A Double Field Theory (DFT) description of gauge symmetry enhancing-breaking
in the heterotic string is presented. The construction, based on previous
results for the bosonic string, relies on the extension of the tangent frame of
DFT. The fluxes of a Scherk-Schwarz like generalized toroidal compactification
are moduli dependent and become identified with the structure constants of the
enhanced group at fixed "self-dual" points in moduli space. Slight
displacements from such points provide the breaking of the symmetry, gauge
bosons acquiring masses proportional to fluxes. The inclusion of fermions is
also discussed.Comment: 28 page
Reconsidering the One Leptoquark solution: flavor anomalies and neutrino
  mass

We reconsider a model introducing a scalar leptoquark $\phi \sim (\mathbf{3},
\mathbf{1}, -1/3)$ to explain recent deviations from the standard model in
semileptonic $B$ decays. The leptoquark can accommodate the persistent tension
in the decays $\bar{B}\rightarrow D^{(*)}\tau \bar{\nu}$ as long as its mass is
lower than approximately $10 \text{ TeV}$, and we show that a sizeable Yukawa
coupling to the right-chiral tau lepton is necessary for an acceptable
explanation. Agreement with the measured $\bar{B}\rightarrow D^{(*)}\tau
\bar{\nu}$ rates is mildly compromised for parameter choices addressing the
tensions in $b \to s \mu \mu$, where the model can significantly reduce the
discrepancies in angular observables, branching ratios and the
lepton-flavor-universality observables $R_K$ and $R_{K^*}$. The leptoquark can
also reconcile the predicted and measured value of the anomalous magnetic
moment of the muon and appears naturally in models of radiative neutrino mass
derived from lepton-number violating effective operators. As a representative
example, we incorporate the particle into an existing two-loop neutrino mass
scenario derived from a dimension-nine operator. In this specific model, the
structure of the neutrino mass matrix provides enough freedom to explain the
small masses of the neutrinos in the region of parameter space dictated by
agreement with the anomalies in $\bar{B}\rightarrow D^{(*)}\tau \bar{\nu}$, but
not the $b \to s$ transition. This is achieved without excessive fine-tuning in
the parameters important for neutrino mass.Comment: 43 pages, 17 figures, 3 tables; corrected fit contours in fig. 1
Higher dimensional operators in 2HDM

We present a complete (non-redundant) basis of CP- and flavour-conserving
six-dimensional operators in a two Higgs doublet model (2HDM). We include
Z_2-violating operators as well. In such a 2HDM effective field theory
(2HDMEFT), we estimate how constraining the 2HDM parameter space from
experiments can get disturbed due to these operators. Our basis is motivated by
the strongly interacting light Higgs (SILH) basis used in the standard model
effective field theory (SMEFT). We find out bounds on combinations of Wilson
coefficients of such operators from precision observables, signal strengths of
Higgs decaying into vector bosons etc. In 2HDMEFT, the 2HDM parameter space can
play a significant role while deriving such constraints, by leading to reduced
or even enhanced effects compared to SMEFT in certain processes. We also
comment on the implications of the SILH suppressions in such considerations.Comment: 34 pages, 6 figures; to appear in JHE
Near-horizon BMS symmetries as fluid symmetries

The Bondi-van der Burg-Metzner-Sachs (BMS) group is the asymptotic symmetry
group of asymptotically flat gravity. Recently, Donnay et al. have derived an
analogous symmetry group acting on black hole event horizons. For a certain
choice of boundary conditions, it is a semidirect product of ${\rm Diff}(S^2)$,
the smooth diffeomorphisms of the two-sphere, acting on $C^\infty(S^2)$, the
smooth functions on the two-sphere. We observe that the same group appears in
fluid dynamics as symmetries of the compressible Euler equations. We relate
these two realizations of ${\rm Diff}(S^2)\ltimes C^\infty(S^2)$ using the
black hole membrane paradigm. We show that the Lie-Poisson brackets of membrane
paradigm fluid charges reproduce the near-horizon BMS algebra. The perspective
presented here may be useful for understanding the BMS algebra at null
infinity.Comment: 18 pages, 3 figure
Wilson lines as superconformal defects in ABJM theory: a formula for the
  emitted radiation

We study operator insertions into 1/2 BPS Wilson loops in N = 6 ABJM theory
and investigate their two-point correlators. In this framework, the energy
emitted by a heavy moving probe can be exactly obtained from some two-point
coefficients of bosonic and fermionic insertions. This allows us to confirm an
early proposal for computing the Bremsstrahlung function in terms of certain
supersymmetric circular Wilson loops, whose value might be accessible to
localization techniques. In the derivation of this result we also elucidate the
structure of protected multiplets in the relevant superconformal defect theory
and perform an explicit two-loop calculation.Comment: 37 pages, 4 figures, references adde
Spontaneously Broken Spacetime Symmetries and the Role of Inessential
  Goldstones

In contrast to internal symmetries, there is no general proof that the coset
construction for spontaneously broken spacetime symmetries leads to universal
dynamics. One key difference lies in the role of Goldstone bosons, which for
spacetime symmetries includes a subset which are inessential for the non-linear
realisation and hence can be eliminated. In this paper we address two important
issues that arise when eliminating inessential Goldstones.
  The first concerns the elimination itself, which is often performed by
imposing so-called inverse Higgs constraints. Contrary to claims in the
literature, there are a series of conditions on the structure constants which
must be satisfied to employ the inverse Higgs phenomenon, and we discuss which
parametrisation of the coset element is the most effective in this regard. We
also consider generalisations of the standard inverse Higgs constraints, which
can include integrating out inessential Goldstones at low energies, and prove
that under certain assumptions these give rise to identical effective field
theories for the essential Goldstones.
  Secondly, we consider mappings between non-linear realisations that differ
both in the coset element and the algebra basis. While these can always be
related to each other by a point transformation, remarkably, the inverse Higgs
constraints are not necessarily mapped onto each other under this
transformation. We discuss the physical implications of this non-mapping, with
a particular emphasis on the coset space corresponding to the spontaneous
breaking of the Anti-De Sitter isometries by a Minkowski probe brane
On the Casimir scaling violation in the cusp anomalous dimension at
  small angle

We compute the four-loop $n_f$ contribution proportional to the quartic
Casimir of the QCD cusp anomalous dimension as an expansion for small cusp
angle $\phi$. This piece is gauge invariant, violates Casimir scaling, and
first appears at four loops. It requires the evaluation of genuine non-planar
four-loop Feynman integrals. We present results up to ${\mathcal O}(\phi^4)$.
One motivation for our calculation is to probe a recent conjecture on the
all-order structure of the cusp anomalous dimension. As a byproduct we obtain
the four-loop HQET wave function anomalous dimension for this color structure.Comment: 13 pages, 2 figures, 1 ancillary file; v2: journal versio
Non-duality in three dimensions

We investigate M-theory and heterotic compactifications to 7 and 3
dimensions. In 7 dimensions we discuss a class of massive supergravities that
arise from M-theory on K3 and point out obstructions to realizing these
theories in a dual heterotic framework with a geometric description. Taking
M-theory further down to 3 dimensions on K3xK3 with a choice of flux leads to a
rich landscape of theories with various amounts of supersymmetry, including
those preserving 6 supercharges. We explore possible heterotic realizations of
these vacua and prove a no--go theorem: every heterotic geometry that preserves
6 supercharges preserves 8 supercharges.Comment: 31 pages; v2: added appendix B with details on flux for N=3, D=3
  M-theory vacu
Neutral kaon mixing beyond the Standard Model with nf=2+1 chiral
  fermions part II: Non Perturbative Renormalisation of the $\Delta F=2$
  four-quark operators

We compute the renormalisation factors (Z-matrices) of the $\Delta F=2$
four-quark operators needed for Beyond the Standard Model (BSM) kaon mixing. We
work with nf=2+1 flavours of Domain-Wall fermions whose chiral-flavour
properties are essential to maintain a continuum-like mixing pattern. We
introduce new RI-SMOM renormalisation schemes, which we argue are better
behaved compared to the commonly-used corresponding RI-MOM one. We find that,
once converted to MS, the Z-factors computed through these RI-SMOM schemes are
in good agreement but differ significantly from the ones computed through the
RI-MOM scheme. The RI-SMOM Z-factors presented here have been used to compute
the BSM neutral kaon mixing matrix elements in the companion paper [1]. We
argue that the renormalisation procedure is responsible for the discrepancies
observed by different collaborations, we will investigate and elucidate the
origin of these differences throughout this work
Small instanton transitions for M5 fractions

M5-branes on an ADE singularity are described by certain six-dimensional
"conformal matter" superconformal field theories. Their Higgs moduli spaces
contain information about various dynamical processes for the M5s; however,
they are not directly accessible due to the lack of a Lagrangian formulation.
Using anomaly matching, we compute their dimensions. The result implies that M5
fractions can recombine in several different ways, where the M5s are leaving
behind frozen versions of the singularity. The anomaly polynomial gives hints
about the nature of the freezing. We also check the Higgs dimension formula by
comparing it with various existing conjectures for the CFTs one obtains by
torus compactifications down to four and three dimensions. Aided by our
results, we also extend those conjectures to compactifications of theories not
previously considered. These involve class S theories with twisted punctures in
four dimensions, and affine-Dynkin-shaped quivers in three dimensions.Comment: 39 pages, 1 figure; v2 published in JHE
Analytic integrability for strings on $ \eta $ and $ \lambda $ deformed
  backgrounds

In this paper, based on simple analytic techniques, we explore the
integrability conditions for classical stringy configurations defined over $
\eta $ as well as $ \lambda $- deformed backgrounds. We perform our analysis
considering classical string motions within various subsectors of the full
target space geometry. It turns out that classical string configurations
defined over $ \eta $- deformed backgrounds are non-integrable whereas on the
other hand, the corresponding configurations are integrable over the $ \lambda
$- deformed background. Our analysis therefore imposes a strong constraint on
the operator spectrum associated with the corresponding dual gauge theories at
strong coupling.Comment: Version to appear in JHE