pinecone/core-2020-05-10-deduplication huggingface dataset:
Compact Perturbative Expressions For Neutrino Oscillations in Matter

We further develop and extend a recent perturbative framework for neutrino
oscillations in uniform matter density so that the resulting oscillation
probabilities are accurate for the complete matter potential versus baseline
divided by neutrino energy plane. This extension also gives the exact
oscillation probabilities in vacuum for all values of baseline divided by
neutrino energy. The expansion parameter used is related to the ratio of the
solar to the atmospheric $\Delta m^2$ scales but with a unique choice of the
atmospheric $\Delta m^2$ such that certain first-order effects are taken into
account in the zeroth-order Hamiltonian. Using a mixing matrix formulation,
this framework has the exceptional feature that the neutrino oscillation
probability in matter has the same structure as in vacuum, to all orders in the
expansion parameter. It also contains all orders in the matter potential and
$\sin\theta_{13}$. It facilitates immediate physical interpretation of the
analytic results, and makes the expressions for the neutrino oscillation
probabilities extremely compact and very accurate even at zeroth order in our
perturbative expansion. The first and second order results are also given which
improve the precision by approximately two or more orders of magnitude per
perturbative order.Comment: 24 pages, 3 figure
Holographic entanglement entropy for hollow cones and banana shaped
  regions

We consider banana shaped regions as examples of compact regions, whose
boundary has two conical singularities. Their regularised holographic entropy
is calculated with all divergent as well as finite terms. The coefficient of
the squared logarithmic divergence, also in such a case with internally curved
boundary, agrees with that calculated in the literature for infinite circular
cones with their internally flat boundary. For the otherwise conformally
invariant coefficient of the ordinary logarithmic divergence an anomaly under
exceptional conformal transformations is observed.
  The construction of minimal submanifolds, needed for the entanglement entropy
of cones, requires fine-tuning of Cauchy data. Perturbations of such
fine-tuning leads to solutions relevant for hollow cones. The divergent parts
for the entanglement entropy of hollow cones are calculated. Increasing the
difference between the opening angles of their outer and inner boundary, one
finds a transition between connected solutions for small differences to
disconnected solutions for larger ones.Comment: 22 pages, 6 figures, comment added after eq. (71), version as
  appeared in JHE
Subsubleading soft theorems of gravitons and dilatons in the bosonic
  string

Starting from the amplitude with an arbitrary number of massless closed
states of the bosonic string, we compute the soft limit when one of the states
becomes soft to subsubleading order in the soft momentum expansion, and we show
that when the soft state is a graviton or a dilaton, the full string amplitude
can be expressed as a soft theorem through subsubleading order. It turns out
that there are string corrections to the field theoretical limit in the case of
a soft graviton, while for a soft dilaton the string corrections vanish. We
then show that the new soft theorems, including the string corrections, can be
simply obtained from the exchange diagrams where the soft state is attached to
the other external states through the three-point string vertex of three
massless states. In the soft-limit, the propagator of the exchanged state is
divergent, and at tree-level these are the only divergent contributions to the
full amplitude. However, they do not form a gauge invariant subset and must be
supplemented with extra non-singular terms. The requirement of gauge invariance
then fixes the complete amplitude through subsubleading order in the soft
expansion, reproducing exactly what one gets from the explicit calculation in
string theory. From this it is seen that the string corrections at
subsubleading order arise as a consequence of the three-point amplitude having
string corrections in the bosonic string. When specialized to a soft dilaton,
it remarkably turns out that the string corrections vanish and that the
non-singular piece of the subsubleading term of the dilaton soft theorem is the
generator of space-time special conformal transformation.Comment: 34 pages, 2 figures, 2 appendice
Enabling Electroweak Baryogenesis through Dark Matter

We study the impact on electroweak baryogenesis from a swifter cosmological
expansion induced by dark matter. We detail the experimental bounds that one
can place on models that realize it, and we investigate the modifications of
these bounds that result from a non-standard cosmological history. The
modifications can be sizeable if the expansion rate of the Universe increases
by several orders of magnitude. We illustrate the impact through the example of
scalar field dark matter, which can alter the cosmological history enough to
enable a strong-enough first-order phase transition in the Standard Model when
it is supplemented by a dimension six operator directly modifying the Higgs
boson potential. We show that due to the modified cosmological history,
electroweak baryogenesis can be realized, while keeping deviations of the
triple Higgs coupling below HL-LHC sensitivies. The required scale of new
physics to effectuate a strong-enough first order phase transition can change
by as much as twenty percent as the expansion rate increases by six orders of
magnitude
Anderson Localization in high temperature QCD: background configuration
  properties and Dirac eigenmodes

We investigate the properties of the background gauge field configurations
that act as disorder for the Anderson localization mechanism in the Dirac
spectrum of QCD at high temperatures. We compute the eigenmodes of the M\"obius
domain-wall fermion operator on configurations generated for the $SU(3)$ gauge
theory with two flavors of fermions, in the temperature range $[0.9,1.9]T_c$.
We identify the source of localization of the eigenmodes with gauge
configurations that are self-dual and support negative fluctuations of the
Polyakov loop $P_L$, in the high temperature sea of $P_L\sim 1$. The dependence
of these observations on the boundary conditions of the valence operator is
studied. We also investigate the spatial overlap of the left-handed and
right-handed projected eigenmodes in correlation with the localization and the
corresponding eigenvalue. We discuss an interpretation of the results in terms
of monopole-instanton structures.Comment: 27 pages, 16 figures, 2 tables, minor corrections and typo
Inclusive jet spectrum for small-radius jets

Following on our earlier work on leading-logarithmic (LLR) resummations for
the properties of jets with a small radius, R, we here examine the
phenomenological considerations for the inclusive jet spectrum. We discuss how
to match the NLO predictions with small-R resummation. As part of the study we
propose a new, physically-inspired prescription for fixed-order predictions and
their uncertainties. We investigate the R-dependent part of the
next-to-next-to-leading order (NNLO) corrections, which is found to be
substantial, and comment on the implications for scale choices in inclusive jet
calculations. We also examine hadronisation corrections, identifying potential
limitations of earlier analytical work with regards to their $p_t$-dependence.
Finally we assemble these different elements in order to compare matched
(N)NLO+LLR predictions to data from ALICE and ATLAS, finding improved
consistency for the R-dependence of the results relative to NLO predictions.Comment: 42 pages, 24 figures, additional material at
  http://microjets.hepforge.org/, updated to match published versio
Covariantized Matrix theory for D-particles

We reformulate the Matrix theory of D-particles in a manifestly
Lorentz-covariant fashion in the sense of 11 dimesnional flat Minkowski
space-time, from the viewpoint of the so-called DLCQ interpretation of the
light-front Matrix theory. The theory is characterized by various symmetry
properties including higher gauge symmetries, which contain the usual SU($N$)
symmetry as a special case and are extended from the structure naturally
appearing in association with a discretized version of Nambu's 3-bracket. The
theory is scale invariant, and the emergence of the 11 dimensional
gravitational length, or M-theory scale, is interpreted as a consequence of a
breaking of the scaling symmetry through a super-selection rule. In the
light-front gauge with the DLCQ compactification of 11 dimensions, the theory
reduces to the usual light-front formulation. In the time-like gauge with the
ordinary M-theory spatial compactification, it reduces to a non-Abelian
Born-Infeld-like theory, which in the limit of large $N$ becomes equivalent
with the original BFSS theory.Comment: 47 pages, 1 figure, the version to be published in JHEP, corrected
  typos, added sentences and reference
Tensor integrand reduction via Laurent expansion

We introduce a new method for the application of one-loop integrand reduction
via the Laurent expansion algorithm, as implemented in the public C++ library
Ninja. We show how the coefficients of the Laurent expansion can be computed by
suitable contractions of the loop numerator tensor with cut-dependent
projectors, making it possible to interface Ninja to any one-loop matrix
element generator that can provide the components of this tensor. We
implemented this technique in the Ninja library and interfaced it to MadLoop,
which is part of the public MadGraph5_aMC@NLO framework. We performed a
detailed performance study, comparing against other public reduction tools,
namely CutTools, Samurai, IREGI, PJFry++ and Golem. We find that Ninja
outperforms traditional integrand reduction in both speed and numerical
stability, the latter being on par with that of the tensor integral reduction
tool Golem which is however more limited and slower than Ninja. We considered
many benchmark multi-scale processes of increasing complexity, involving QCD
and electro-weak corrections as well as effective non-renormalizable couplings,
showing that Ninja's performance scales well with both the rank and
multiplicity of the considered process
Light sterile neutrino sensitivity of 163Ho experiments

We explore the sensitivity of $^{163}$Ho electron capture experiments to
neutrino masses in the standard framework of three-neutrino mixing and in the
framework of 3+1 neutrino mixing with a sterile neutrino which mixes with the
three standard active neutrinos, as indicated by the anomalies found in
short-baseline neutrino oscillations experiments. We calculate the sensitivity
to neutrino masses and mixing for different values of the energy resolution of
the detectors, of the unresolved pileup fraction and of the total statistics of
events, considering the expected values of these parameters in the two planned
stages of the ECHo project (ECHo-1k and ECHo-1M). We show that an extension of
the ECHo-1M experiment with the possibility to collect $10^{16}$ events will be
competitive with the KATRIN experiment. This statistics will allow to explore
part of the 3+1 mixing parameter space indicated by the global analysis of
short-baseline neutrino oscillation experiments. In order to cover all the
allowed region, a statistics of about $10^{17}$ events will be needed.Comment: 11 page
The complete one-loop BMN S-matrix in AdS(3) x S(3) x T(4)

We compute the full one-loop 2-particle S-matrix for excitations of the type
IIB AdS(3) x S(3) x T(4) BMN string. The S-matrix is found to respect the
expected symmetries and the phases are consistent with the crossing equations.
By analyzing how the relevant integrals scale with the IR regulator we show
that scattering of massless bosons is trivial at two loops. Based on our
results we argue that the additional su(2) S-matrix appearing in the massless
sector in the exact solution should trivialize.Comment: 20 pages; v2: References and minor clarification adde
Flavour changing $Z'$ signals in a 6D inspired model

We consider the phenomenology of new neutral gauge bosons with flavour
non-diagonal couplings to fermions, inherent in 6D models explaining
successfully the hierarchy of masses as well as the mixing for quarks, charged
leptons and neutrinos (this model can in particular be credited with the
correct prediction of the neutrino mixing angle $\theta_{13}$). We present a
general relation between masses of new gauge bosons and their couplings to
fermions. We show that in the current realization of the model, the new heavy
bosons are unreachable at LHC but argue why the constraint could be relaxed in
the context of a different realization. In view of a more systematic study, we
use an effective model inspired by the above to relate directly rare meson
decays to possible LHC observations. In terms of effective Lagrangians, this
can be seen as the introduction in the model of only one overall scaling
parameter to extend our approach without modifying the 4D (gauge) structure.Comment: 14 pages, 1 figur
Supersymmetric Renyi Entropy and Weyl Anomalies in Six-Dimensional (2,0)
  Theories

We propose a closed formula of the universal part of supersymmetric R\'enyi
entropy $S_q$ for $(2,0)$ superconformal theories in six-dimensions. We show
that $S_q$ across a spherical entangling surface is a cubic polynomial of
$\gamma:=1/q$, with all coefficients expressed in terms of the newly discovered
Weyl anomalies $a$ and $c$. This is equivalent to a similar statement of the
supersymmetric free energy on conic (or squashed) six-sphere. We first obtain
the closed formula by promoting the free tensor multiplet result and then
provide an independent derivation by assuming that $S_q$ can be written as a
linear combination of 't Hooft anomaly coefficients. We discuss a possible
lower bound ${a\over c}\geq {3\over 7}$ implied by our result.Comment: 30 pages+1 tabl
Next-to-leading-order electroweak corrections to $pp \to W^+W^-\to$ 4
  leptons at the LHC

We present results of the first calculation of next-to-leading-order
electroweak corrections to W-boson pair production at the LHC that fully takes
into account leptonic W-boson decays and off-shell effects. Employing realistic
event selections, we discuss the corrections in situations that are typical for
the study of W-boson pairs as a signal process or of Higgs-boson decays $H\to W
W^*$, to which W-boson pair production represents an irreducible background. In
particular, we compare the full off-shell results, obtained treating the
W-boson resonances in the complex-mass scheme, to previous results in the
so-called double-pole approximation, which is based on an expansion of the loop
amplitudes about the W resonance poles. At small and intermediate scales, i.e.
in particular in angular and rapidity distributions, the two approaches show
the expected agreement at the level of fractions of a percent, but larger
differences appear in the TeV range. For transverse-momentum distributions, the
differences can even exceed the 10% level in the TeV range where "background
diagrams" with one instead of two resonant W bosons gain in importance because
of recoil effects.Comment: 28 pages, 18 eps-figure
Lepton asymmetry from mixing and oscillations

We show how the two physically-distinct sources of CP-asymmetry relevant to
scenarios of leptogenesis: (i) resonant mixing and (ii) oscillations between
different flavours can be unambiguously identified within the Kadanoff-Baym
formalism. These contributions are isolated by analyzing the spectral structure
of the non-equilibrium propagators without relying on the definition of
particle number densities. The mixing source is associated with the usual mass
shells, whereas the oscillation source is identified with a third intermediate
shell. In addition, we identify terms lying on the oscillation shell that can
be interpreted as the destructive interference between mixing and oscillation.
We confirm that identical shell structure is obtained in both the Heisenberg-
and interaction-picture realizations of the Kadanoff-Baym formalism. In so
doing, we illustrate the self-consistency and complementarity of these two
approaches. The interaction-picture approach in particular has the advantage
that it may be used to analyze all forms of mass spectra from quasi-degenerate
through to hierarchical.Comment: 54 pages, 6 figures. To match published version: the discussion of
  the interaction-picture resummation procedure (section 3) expanded, further
  comments and clarification included, references added, and typos correcte
One-Loop Corrections to the Perturbative Unitarity Bounds in the
  $CP$-Conserving Two-Higgs Doublet Model with a Softly Broken $\mathbb{Z}_2$
  Symmetry

We compute all of the one-loop corrections that are enhanced, $O(\lambda_i
\lambda_j / 16 \pi^2)$, in the limit $s \gg |\lambda_i | v^2 \gg M_{W}^2$, $s
\gg m_{12}^2$ to all the $2 \to 2$ longitudinal vector boson and Higgs boson
scattering amplitudes in the $CP$-conserving two-Higgs doublet model with a
softly broken $\mathbb{Z}_2$ symmetry. In the two simplified scenarios we
study, the typical bound we find is $|\lambda_i(s)| \lessapprox 4$.Comment: v2: 1 plot corrected, other minor changes, version to appear in JHE
On the mass-coupling relation of multi-scale quantum integrable models

We determine exactly the mass-coupling relation for the simplest multi-scale
quantum integrable model, the homogenous sine-Gordon model with two independent
mass-scales. We first reformulate its perturbed coset CFT description in terms
of the perturbation of a projected product of minimal models. This
representation enables us to identify conserved tensor currents on the UV side.
These UV operators are then mapped via form factor perturbation theory to
operators on the IR side, which are characterized by their form factors. The
relation between the UV and IR operators is given in terms of the sought-for
mass-coupling relation. By generalizing the $\Theta$ sum rule Ward identity we
are able to derive differential equations for the mass-coupling relation, which
we solve in terms of hypergeometric functions. We check these results against
the data obtained by numerically solving the thermodynamic Bethe Ansatz
equations, and find a complete agreement.Comment: 55 pages, 9 figures, reference added, minor changes, published
  versio
Form Factor and Boundary Contribution of Amplitude

The boundary contribution of an amplitude in the BCFW recursion relation can
be considered as a form factor involving boundary operator and unshifted
particles. At the tree-level, we show that by suitable construction of
Lagrangian, one can relate the leading order term of boundary operators to some
composite operators of N=4 super-Yang-Mills theory, then the computation of
form factors is translated to the computation of amplitudes. We compute the
form factors of these composite operators through the computation of
corresponding double trace amplitudes.Comment: 38 pages, 6 figure
Little Higgs after the little one

At the LHC, the Littlest Higgs Model with $T$-parity is characterised by
various production channels. If the $T$-odd quarks are heavier than the exotic
partners of the $W$ and the $Z$, then associated production can be as important
as the pair-production of the former. Studying both, we look for final states
comprising at least one lepton, jets and missing transverse energy. We consider
all the SM processes that could conspire to contribute as background to our
signals, and perform a full detector level simulation of the signal and
background to estimate the discovery potential at the current run as well as at
the scheduled upgrade of the LHC. We also show that, for one of the channels,
the reconstruction of two tagged $b$-jets at the Higgs mass $(M_h = 125~{\rm
GeV})$ provides us with an unambiguous hint for this model.Comment: 22 pages, 3 captioned figures, 8 Tables; minor modifications, version
  published in JHE
Light-front representation of chiral dynamics with Delta isobar and
  large-N_c relations

Transverse densities describe the spatial distribution of electromagnetic
current in the nucleon at fixed light-front time. At peripheral distances b =
O(M_pi^{-1}) the densities are governed by chiral dynamics and can be
calculated model-independently using chiral effective field theory (EFT).
Recent work has shown that the EFT results can be represented in
first-quantized form, as overlap integrals of chiral light-front wave functions
describing the transition of the nucleon to soft-pion-nucleon intermediate
states, resulting in a quantum-mechanical picture of the peripheral transverse
densities. We now extend this representation to include intermediate states
with Delta isobars and implement relations based on the large-N_c limit of QCD.
We derive the wave function overlap formulas for the Delta contributions to the
peripheral transverse densities by way of a three-dimensional reduction of
relativistic chiral EFT expressions. Our procedure effectively maintains
rotational invariance and avoids the ambiguities with higher-spin particles in
the light-front time-ordered approach. We study the interplay of pi-N and
pi-Delta intermediate states in the quantum-mechanical picture of the densities
in a transversely polarized nucleon. We show that the correct N_c-scaling of
the charge and magnetization densities emerges as the result of the particular
combination of currents generated by intermediate states with degenerate N and
Delta. The off-shell behavior of the chiral EFT is summarized in contact terms
and can be studied easily. The methods developed here can be applied to other
peripheral densities and to moments of the nucleon's generalized parton
distributions.Comment: 35 pages, 9 figure
Holographic anyonization: A systematic approach

Anyons have garnered substantial interest theoretically as well as
experimentally. Due to the intricate nature of their interactions, however,
even basic notions such as the equation of state for any kind of anyon gas have
eluded a profound understanding so far. Using holography as a guiding
principle, we propose a general method for an alternative quantization of
electromagnetic degrees of freedom in the gravitational dual to obtain an
effective physical description of strongly correlated anyonic systems. We then
demonstrate the application of this prescription in a toy model of an anyonic
fluid at finite charge density and magnetic field, dual to a dyonic black brane
in AdS_4, and compute the equation of state and various transport coefficients
explicitly.Comment: 18 pages, 1 diagram; v2: typos fixed, ref. added, a new formula added
  highlighting the modular property of the transformed Green's functions;
  published versio
Gauging and Decoupling in 3d $\mathcal{N}=2$ dualities

One interesting feature of 3d $\mathcal{N}=2$ theories is that
gauge-invariant operators can decouple by strong-coupling effects, leading to
emergent flavor symmetries in the IR. The details of such decoupling, however,
depends very delicately on the gauge group and matter content of the theory. We
here systematically study the IR behavior of 3d $\mathcal{N}=2$ SQCD with $N_f$
flavors, for gauge groups $\mathrm{SU}(N_c), \mathrm{USp}(2N_c)$ and
$\mathrm{SO}(N_c)$. We apply a combination of analytical and numerical methods,
both to small values of $N_c, N_f$ and also to the Veneziano limit, where $N_c$
and $N_f$ are taken to be large with their ratio $N_f/N_c$ fixed. We highlight
the role of the monopole operators and the interplay with Aharony-type
dualities. We also discuss the effect of gauging continuous as well as discrete
flavor symmetries, and the implications of our analysis to the classification
of $1/4$--BPS co-dimension 2 defects of 6d $(2,0)$ theories