pinecone/core-2020-05-10-deduplication huggingface dataset:
Radiative Corrections to the Solar Lepton Mixing Sum Rule

The simple correlation among three lepton flavor mixing angles
$(\theta^{}_{12}, \theta^{}_{13}, \theta^{}_{23})$ and the leptonic Dirac
CP-violating phase $\delta$ is conventionally called a sum rule of lepton
flavor mixing, which may be derived from a class of neutrino mass models with
flavor symmetries. In this paper, we consider the solar lepton mixing sum rule
$\theta^{}_{12} \approx \theta^{\nu}_{12} + \theta^{}_{13} \cos \delta$, where
$\theta^\nu_{12}$ stems from a constant mixing pattern in the neutrino sector
and takes the value of $\theta^\nu_{12} = 45^\circ$ for the bi-maximal mixing
(BM), $\theta^\nu_{12} = \tan^{-1}(1/\sqrt{2}) \approx 35.3^\circ$ for the
tri-bimaximal mixing (TBM) or $\theta^\nu_{12} = \tan^{-1}\left[2/(\sqrt{5} +
1)\right] \approx 31.7^\circ$ for the golden-ratio mixing (GR), and investigate
the renormalization-group (RG) running effects on lepton flavor mixing
parameters when this sum rule is assumed at a superhigh-energy scale. For
illustration, we work within the framework of the minimal supersymmetric
standard model (MSSM), and implement the Bayesian approach to explore the
posterior distribution of $\delta$ at the low-energy scale, which becomes quite
broad when the RG running effects are significant. Moreover, we also discuss
the compatibility of the above three mixing scenarios with current neutrino
oscillation data, and observe that radiative corrections can increase such a
compatibility for the BM scenario, resulting in a weaker preference for the TBM
and GR ones.Comment: 20 pages, including 3 tables and 5 figures, matches the published
  versio
An Effective Field Theory for Forward Scattering and Factorization
  Violation

Starting with QCD, we derive an effective field theory description for
forward scattering and factorization violation as part of the soft-collinear
effective field theory (SCET) for high energy scattering. These phenomena are
mediated by long distance Glauber gluon exchanges, which are static in time,
localized in the longitudinal distance, where $|t| \ll s$. In hard scattering,
Glauber gluons can induce corrections which invalidate factorization. With
SCET, Glauber exchange graphs can be calculated explicitly, and are distinct
from graphs with soft, collinear, or ultrasoft gluons. We derive a complete
basis of operators which describe the leading power effects of Glauber
exchange. Key ingredients include regulating light-cone rapidity singularities
and subtractions which prevent double counting. Our results include a novel all
orders gauge invariant pure glue soft operator which appears between two
collinear rapidity sectors. The 1-gluon Feynman rule for the soft operator
coincides with the Lipatov vertex, but it also contributes to emissions with
$\ge 2$ soft gluons. Our Glauber operator basis is derived using tree level and
one-loop matching calculations from full QCD to SCET. The rapidity RGE yields
gluon Reggeization at the amplitude level, and gives the BFKL equation for the
soft and collinear functions in the forward scattering cross section. We derive
an explicit rule for when eikonalization is valid, and provide a direct
connection to the picture of multiple Wilson lines crossing a shockwave. In
hard scattering operators Glauber subtractions for soft and collinear loop
diagrams ensure that we are not sensitive to the directions for soft and
collinear Wilson lines. Conversely, certain Glauber interactions can be
absorbed into these soft and collinear Wilson lines by taking them to be in
specific directions. We also discuss criteria for factorization violation.Comment: 207 pages, 39 figures, v2: typos fixed, fwd.fact.proof simplified,
  journal versio
Off-shell amplitudes as boundary integrals of analytically continued
  Wilson line slope

One of the methods to calculate tree-level multi-gluon scattering amplitudes
is to use the Berends-Giele recursion relation involving off-shell currents or
off-shell amplitudes, if working in the light cone gauge. As shown in recent
works using the light-front perturbation theory, solutions to these recursions
naturally collapse into gauge invariant and gauge-dependent components, at
least for some helicity configurations. In this work, we show that such
structure is helicity independent and emerges from analytic properties of
matrix elements of Wilson line operators, where the slope of the straight gauge
path is shifted in a certain complex direction. This is similar to the
procedure leading to the Britto-Cachazo-Feng-Witten (BCFW) recursion, however
we apply a complex shift to the Wilson line slope instead of the external
momenta. While in the original BCFW procedure the boundary integrals over the
complex shift vanish for certain deformations, here they are non-zero and are
equal to the off-shell amplitudes. The main result can thus be summarized as
follows: we derive a decomposition of a helicity-fixed off-shell current into
gauge invariant component given by a matrix element of a straight Wilson line
plus a reminder given by a sum of products of gauge invariant and gauge
dependent quantities. We give several examples realizing this relation,
including the five-point next-to-MHV helicity configuration.Comment: 23 pages, version accepted for JHE
More on Non-supersymmetric Asymmetric Orbifolds with Vanishing
  Cosmological Constant

We explore various non-supersymmetric type II string vacua constructed based
on asymmetric orbifolds of tori with vanishing cosmological constant at the one
loop. The string vacua we present are modifications of the models studied in
arXiv:1512.05155[hep-th], of which orbifold group is just generated by a single
element. We especially focus on two types of modifications: (i) the orbifold
twists include different types of chiral reflections not necessarily removing
massless Rarita-Schwinger fields in the 4-dimensional space-time, (ii) the
orbifold twists do not include the shift operator. We further discuss the
unitarity and stability of constructed non-supersymmetric string vacua, with
emphasizing the common features of them.Comment: 1+33 pages, no figure; v2 1+35 pages, several definitions are
  clarified, typos corrected, to be published in JHE
Lepton flavor-violating decays of the Higgs boson from sgoldstino mixing

We study lepton flavor violation in a class of supersymmetric models with
light sgoldstino - scalar superpartner of Goldstone fermions responsible for
spontaneous supersymmetry breaking. Sgoldstino couplings to the Standard Model
(SM) fermions are determined by the MSSM soft terms and, in general, provide
with flavor violation in this sector. Sgoldstino admixture to the lightest
Higgs boson results in changes of its coupling constants and, in particular,
leads to lepton flavor-violating decay $h\to\tau\mu$ of the Higgs resonance. We
discuss viability and phenomenological consequences of this scenario.Comment: 29 pages, 14 figure
QCD unitarity constraints on Reggeon Field Theory

We point out that the $s$-channel unitarity of QCD imposes meaningful
constraints on a possible form of the QCD Reggeon Field Theory. We show that
neither the BFKL nor JIMWLK nor Braun's Hamiltonian satisfy the said
constraints. In a toy, zero transverse dimensional case we construct a model
that satisfies the analogous constraint and show that at infinite energy it
indeed tends to a "black disk limit" as opposed to the model with triple
Pomeron vertex only, routinely used as a toy model in the literature.Comment: 34 pages, 9 Figs; Minor clarifications on the concept of unitarity
  are added. JHEP versio
Cosmological perturbation theory and quantum gravity

It is shown how cosmological perturbation theory arises from a fully
quantized perturbative theory of quantum gravity. Central for the derivation is
a non-perturbative concept of gauge-invariant local observables by means of
which perturbative invariant expressions of arbitrary order are generated. In
particular, in the linearised theory, first order gauge-invariant observables
familiar from cosmological perturbation theory are recovered. Explicit
expressions of second order quantities are presented as well.Comment: 18 page
Global constraints on heavy neutrino mixing

We derive general constraints on the mixing of heavy Seesaw neutrinos with
the SM fields from a global fit to present flavour and electroweak precision
data. We explore and compare both a completely general scenario, where the
heavy neutrinos are integrated out without any further assumption, and the more
constrained case were only 3 additional heavy states are considered. The latter
assumption implies non-trivial correlations in order to reproduce the correct
neutrino masses and mixings as observed by oscillation data and thus some
qualitative differences can be found with the more general scenario. The
relevant processes analyzed in the global fit include searches for Lepton
Flavour Violating (LFV) decays, probes of the universality of weak
interactions, CKM unitarity bounds and electroweak precision data. In
particular, a comparative and detailed study of the present and future
sensitivity of the different LFV experiments is performed. We find a mild
$1-2\sigma$ preference for non-zero heavy neutrino mixing of order 0.03-0.04 in
the electron and tau sectors. At the $2\sigma$ level we derive bounds on all
mixings ranging from 0.1 to 0.01 with the notable exception of the $e-\mu$
sector with a more stringent bound of 0.005 from the $\mu \to e \gamma$
process.Comment: 29 pages, 29 figures. v2: minor typos corrected. Version accepted for
  publication in JHE
Heterotic-Type IIA Duality and Degenerations of K3 Surfaces

We study the duality between four-dimensional N=2 compactifications of
heterotic and type IIA string theories. Via adiabatic fibration of the duality
in six dimensions, type IIA string theory compactified on a K3-fibred
Calabi-Yau threefold has a potential heterotic dual compactification. This
adiabatic picture fails whenever the K3 fibre degenerates into multiple
components over points in the base of the fibration. Guided by monodromy, we
identify such degenerate K3 fibres as solitons generalizing the NS5-brane in
heterotic string theory. The theory of degenerations of K3 surfaces can then be
used to find which solitons can be present on the heterotic side. Similar to
small instanton transitions, these solitons escort singular transitions between
different Calabi-Yau threefolds. Starting from well-known examples of
heterotic--type IIA duality, such transitions can take us to type IIA
compactifications with unknown heterotic duals.Comment: 76 pages, 8 figures; v2: minor change
Precision Islands in the Ising and $O(N)$ Models

We make precise determinations of the leading scaling dimensions and operator
product expansion (OPE) coefficients in the 3d Ising, $O(2)$, and $O(3)$ models
from the conformal bootstrap with mixed correlators. We improve on previous
studies by scanning over possible relative values of the leading OPE
coefficients, which incorporates the physical information that there is only a
single operator at a given scaling dimension. The scaling dimensions and OPE
coefficients obtained for the 3d Ising model, $(\Delta_{\sigma},
\Delta_{\epsilon},\lambda_{\sigma\sigma\epsilon},
\lambda_{\epsilon\epsilon\epsilon}) = (0.5181489(10), 1.412625(10),
1.0518537(41), 1.532435(19))$, give the most precise determinations of these
quantities to date.Comment: 17 pages, 7 figures, and one movie: https://youtu.be/6pw8Hkly1y
Natural NMSSM after LHC Run I and the Higgsino dominated dark matter
  scenario

We investigate the impact of the direct searches for SUSY at LHC Run I on the
naturalness of the Next-to-Minimal Supersymmetric Standard Model (NMSSM). For
this end, we first scan the vast parameter space of the NMSSM to get the region
where the fine tuning measures $\Delta_Z$ and $\Delta_h$ at the electroweak
scale are less than about 50, then we implement by simulations the constraints
of the direct searches on the parameter points in the region. Our results
indicate that although the direct search experiments are effective in excluding
the points, the parameter intervals for the region and also the minimum reaches
of $\Delta_Z$ and $\Delta_h$ are scarcely changed by the constraints, which
implies that the fine tuning of the NMSSM does not get worse after LHC Run I.
Moreover, based on the results we propose a natural NMSSM scenario where the
lightest neutralino $\tilde{\chi}_1^0$ as the dark matter (DM) candidate is
Higgsino-dominated. In this scenario, $\Delta_Z$ and $\Delta_h$ may be as low
as 2 without conflicting with any experimental constraints, and intriguingly
$\tilde{\chi}_1^0$ can easily reach the measured DM relic density due to its
significant Singlino component. We exhibit the features of the scenario which
distinguish it from the other natural SUSY scenario, including the properties
of its neutralino-chargino sector and scalar top quark sector. We emphasize
that the scenario can be tested either through searching for $3 l + E_T^{miss}$
signal at 14 TeV LHC or through future DM direct detection experiments.Comment: 26 pages, 5 figure
Dissecting Jets and Missing Energy Searches Using $n$-body Extended
  Simplified Models

Simplified Models are a useful way to characterize new physics scenarios for
the LHC. Particle decays are often represented using non-renormalizable
operators that involve the minimal number of fields required by symmetries.
Generalizing to a wider class of decay operators allows one to model a variety
of final states. This approach, which we dub the $n$-body extension of
Simplified Models, provides a unifying treatment of the signal phase space
resulting from a variety of signals. In this paper, we present the first
application of this framework in the context of multijet plus missing energy
searches. The main result of this work is a global performance study with the
goal of identifying which set of observables yields the best discriminating
power against the largest Standard Model backgrounds for a wide range of signal
jet multiplicities. Our analysis compares combinations of one, two and three
variables, placing emphasis on the enhanced sensitivity gain resulting from
non-trivial correlations. Utilizing boosted decision trees, we compare and
classify the performance of missing energy, energy scale and energy structure
observables. We demonstrate that including an observable from each of these
three classes is required to achieve optimal performance. This work
additionally serves to establish the utility of $n$-body extended Simplified
Models as a diagnostic for unpacking the relative merits of different search
strategies, thereby motivating their application to new physics signatures
beyond jets and missing energy.Comment: 31 + 28 pages, 11 + 10 figures; v2 references added, journal versio
Higher Order QCD predictions for Associated Higgs production with
  anomalous couplings to gauge bosons

We present predictions for the associated production of a Higgs boson at
NLO+PS accuracy, including the effect of anomalous interactions between the
Higgs and gauge bosons. We present our results in different frameworks, one in
which the interaction vertex between the Higgs boson and Standard Model $W$ and
$Z$ bosons is parameterized in terms of general Lorentz structures, and one in
which Electroweak symmetry breaking is manifestly linear and the resulting
operators arise through a six-dimensional effective field theory framework. We
present analytic calculations of the Standard Model and Beyond the Standard
Model contributions, and discuss the phenomenological impact of the higher
order pieces. Our results are implemented in the NLO Monte Carlo program MCFM,
and interfaced to shower Monte Carlos through the {\sc Powheg} box framework.Comment: 24 pages, 10 figures, v2 matches published version, includes fixes to
  figures and text and added discussion of effect of the EFT operators on EW
  parameter
Spinor-Helicity Three-Point Amplitudes from Local Cubic Interactions

We make an explicit link between the cubic interactions of off-shell fields
and the on-shell three-point amplitudes in four dimensions. Both the cubic
interactions and the on-shell three-point amplitudes had been independently
classified in the literature, but their relation has not been made explicit.
The aim of this note is to provide such a relation and discuss similarities and
differences of their constructions. For the completeness of our analysis, we
also derive the covariant form of all parity-odd massless vertices.Comment: Published version in JHE
Universal Bounds on Charged States in 2d CFT and 3d Gravity

We derive an explicit bound on the dimension of the lightest charged state in
two dimensional conformal field theories with a global abelian symmetry. We
find that the bound scales with $c$ and provide examples that parametrically
saturate this bound. We also prove than any such theory must contain a state
with charge-to-mass ratio above a minimal lower bound. We comment on the
implications for charged states in three dimensional theories of gravity.Comment: 33 pages, 1 figure; v2: additional refs and comments adde
Backreacted Axion Field Ranges in String Theory

String theory axions are interesting candidates for fields whose potential
might be controllable over super-Planckian field ranges and therefore as
possible candidates for inflatons in large field inflation. Axion monodromy
scenarios are setups where the axion shift symmetry is broken by some effect
such that the axion can traverse a large number of periods potentially leading
to super-Planckian excursions. We study such scenarios in type IIA string
theory where the axion shift symmetry is broken by background fluxes. In
particular we calculate the backreaction of the energy density induced by the
axion vacuum expectation value on its own field space metric. We find universal
behaviour for all the compactifications studied where up to a certain critical
axion value there is only a small backreaction effect. Beyond the critical
value the backreaction is strong and implies that the proper field distance as
measured by the backreacted metric increases at best logarithmically with the
axion vev, thereby placing strong limitations on extending the field distance
any further. The critical axion value can be made arbitrarily large by the
choice of fluxes. However the backreaction of these fluxes on the axion field
space metric ensures a precise cancellation such that the proper field distance
up to the critical axion value is flux independent and remains sub-Planckian.
We also study an axion alignment scenario for type IIA compactifications on a
twisted torus with four fundamental axions mixing to leave an axion with an
effective decay constant which is flux dependent. There is a choice of fluxes
for which the alignment parameter is unconstrained by tadpoles and can in
principle lead to a parametrically enhanced effective decay constant. However
we show that these fluxes backreact on the fundamental decay constants so as to
precisely cancel any enhancement.Comment: 30 pages. v2: added references, expanded summary sectio
Topological Defects and nano-Hz Gravitational Waves in Aligned Axion
  Models

We study the formation and evolution of topological defects in an aligned
axion model with multiple Peccei-Quinn scalars, where the QCD axion is realized
by a certain combination of the axions with decay constants much smaller than
the conventional Peccei-Quinn breaking scale. When the underlying U(1)
symmetries are spontaneously broken, the aligned structure in the axion field
space exhibits itself as a complicated string-wall network in the real space.
We find that the string-wall network likely survives until the QCD phase
transition if the number of the Peccei-Quinn scalars is greater than two. The
string-wall system collapses during the QCD phase transition, producing a
significant amount of gravitational waves in the nano-Hz range at present. The
typical decay constant is constrained to be below O(100) TeV by the pulsar
timing observations, and the constraint will be improved by a factor of 2 in
the future SKA observations.Comment: 23 pages, 7 figure
Warped $AdS_6\times S^2$ in Type IIB supergravity I: Local solutions

We investigate the existence of solutions with 16 residual supersymmetries to
Type IIB supergravity on a space-time of the form $AdS_6 \times S^2$ warped
over a two-dimensional Riemann surface $\Sigma$. The $SO(2,5) \times SO(3)$
isometry extends to invariance under the exceptional Lie superalgebra $F(4)$.
In the present paper, we construct the general Ansatz compatible with these
symmetries, derive the corresponding reduced BPS equations, and obtain their
complete local solution in terms of two locally holomorphic functions ${\cal
A}_\pm$ on $\Sigma$, subject to certain positivity and regularity conditions.
Globally, $({\cal A}_+, {\cal A}_-)$ are allowed to be multiple-valued on
$\Sigma$ and be holomorphic sections of a holomorphic bundle over $\Sigma$ with
structure group contained in $SU(1,1) \times { C}$. Globally regular solutions
are expected to provide the near-horizon geometry of $(p,q)$ 5-brane and
7-brane webs which are holographic duals to five-dimensional conformal field
theories. A preliminary analysis of the positivity and regularity conditions
will be presented here, leaving the construction of globally regular solutions
to a subsequent paper.Comment: 61 pages, no figures; v2: typo fixed; v3: integration constant c_6
  fixe
Gravity and On-Shell Probe Actions

In any gravitational theory and in a wide class of background space-times, we
argue that there exists a simple, yet profound, relation between the on-shell
Euclidean gravitational action and the on-shell Euclidean action of probes. The
probes can be, for instance, charged particles or branes. The relation is
tightly related to the thermodynamic nature of gravity. We provide precise
checks of the relation in several examples, which include both asymptotically
flat and asymptotically AdS space-times, with particle, D-brane and M-brane
probes. Perfect consistency is found in all cases, including in a highly
non-trivial example including \alpha'-corrections.Comment: 45 pages, 1 figure; v2: list of references updated; v3: typos
  corrected, a few explanations and a remark on bubbling geometries added,
  published versio
Time-dependence of the holographic spectral function: Diverse routes to
  thermalisation

We develop a new method for computing the holographic retarded propagator in
generic (non-)equilibrium states using the state/geometry map. We check that
our method reproduces the thermal spectral function given by the Son-Starinets
prescription. The time-dependence of the spectral function of a relevant scalar
operator is studied in a class of non-equilibrium states. The latter are
represented by AdS-Vaidya geometries with an arbitrary parameter characterising
the timescale for the dual state to transit from an initial thermal equilibrium
to another due to a homogeneous quench. For long quench duration, the spectral
function indeed follows the thermal form at the instantaneous effective
temperature adiabatically, although with a slight initial time delay and a bit
premature thermalisation. At shorter quench durations, several new
non-adiabatic features appear: (i) time-dependence of the spectral function is
seen much before than that in the effective temperature (advanced
time-dependence), (ii) a big transfer of spectral weight to frequencies greater
than the initial temperature occurs at an intermediate time (kink formation)
and (iii) new peaks with decreasing amplitudes but in greater numbers appear
even after the effective temperature has stabilised (persistent oscillations).
We find four broad routes to thermalisation for lower values of spatial
momenta. At higher values of spatial momenta, kink formations and persistent
oscillations are suppressed, and thermalisation time decreases. The general
thermalisation pattern is globally top-down, but a closer look reveals
complexities.Comment: 1+38 pages, 26 figures, captions improved; version to appear in JHE