pinecone/core-2020-05-10-deduplication huggingface dataset:
Physics Reach of DUNE with a Light Sterile Neutrino

We investigate the implications of one light eV scale sterile neutrino on the
physics potential of the proposed long-baseline experiment DUNE. If the future
short-baseline experiments confirm the existence of sterile neutrinos, then it
can affect the mass hierarchy (MH) and CP-violation (CPV) searches at DUNE. The
MH sensitivity still remains above 5$\sigma$ if the three new mixing angles
($\theta_{14}, \theta_{24}, \theta_{34}$) are all close to $\theta_{13}$. In
contrast, it can decrease to 4$\sigma$ if the least constrained mixing angle
$\theta_{34}$ is close to its upper limit $\sim 30^0$. We also assess the
sensitivity to the CPV induced both by the standard CP-phase $\delta_{13}
\equiv \delta$, and the new CP-phases $\delta_{14}$ and $\delta_{34}$. In the
3+1 scheme, the discovery potential of CPV induced by $\delta_{13}$ gets
deteriorated compared to the 3$\nu$ case. In particular, the maximal
sensitivity (reached around $\delta_{13}$ $\sim$ $\pm$ $90^0$) decreases from
$5\sigma$ to $4\sigma$ if all the three new mixing angles are close to
$\theta_{13}$. It can further diminish to almost $3\sigma$ if $\theta_{34}$ is
large ($\sim 30^0$). The sensitivity to the CPV due to $\delta_{14}$ can reach
3$\sigma$ for an appreciable fraction of its true values. Interestingly,
$\theta_{34}$ and its associated phase $\delta_{34}$ can influence both the
$\nu_e$ appearance and $\nu_\mu$ disappearance channels via matter effects,
which in DUNE are pronounced. Hence, DUNE can also probe CPV induced by
$\delta_{34}$ provided $\theta_{34}$ is large. We also reconstruct the two
phases $\delta_{13}$ and $\delta_{14}$. The typical 1$\sigma$ uncertainty on
$\delta_{13}$ ($\delta_{14}$) is $\sim20^0$ ($30^0$) if $\theta_{34} =0$. The
reconstruction of $\delta_{14}$ (but not that of $\delta_{13}$) degrades if
$\theta_{34}$ is large.Comment: 26 pages, 8 figures, 2 tables. Minor revisions. Accepted in JHE
Constraints on Z' models from LHC dijet searches and implications for
  dark matter

We analyse a combination of ATLAS and CMS searches for dijet resonances at
run I and run II, presenting the results in a way that can be easily applied to
a generic Z' model. As an illustrative example, we consider a simple model of a
Z' coupling to quarks and dark matter. We first study a benchmark case with
fixed couplings and then focus on the assumption that the Z' is responsible for
setting the dark matter relic abundance. Dijet constraints place significant
bounds on this scenario, allowing us to narrow down the allowed range of dark
matter masses for given Z' mass and width.Comment: 19 pages + appendices, 10 figures + 3 tables, ancillary file with
  tabulated dijet constraints, v2: matches version published in JHE
The free $\sigma$CFTs

We introduce the conformal field theories that describe the shadows of the
lowest dimension composites made out of massless free scalars and fermions in
$d$ dimensions. We argue that these theories can be consistently defined as
free CFTs for even $d\geq 4$. We use OPE techniques to study their spectrum and
show that for $d\rightarrow\infty$ it matches that of free bosonic CFTs in
$d=6$ and $d=4$ dimensions. For these $\sigma$CFTs we calculate $c_T$ in
$d=6,8,10$ and $12$ dimensions using the OPE and also a direct construction of
their higher-derivative energy momentum tensors. Our results agree with the
general proposal of arXiv:1601.07198.Comment: 18+10 pages, no figure; v2: references updated, typos corrected,
  matches JHEP versio
Regge Trajectories in $\mathcal{N}=2$ Supersymmetric Yang-Mills Theory

We demonstrate that $\mathcal{N}=2$ supersymmetric non-Abelian gauge theories
have towers of BPS particles obeying a Regge relation, $J \sim m^{2},$ between
their angular momenta, $J,$ and their masses, $m$. For $SU(N)$ Yang-Mills
theories, we estimate the slope of these Regge trajectories using a
non-relativistic quiver quantum mechanics model. Along the way, we also prove
various structure theorems for the quiver moduli spaces that appear in the
calculation.Comment: 34 pages, 6 figures, + appendices. V2 references correcte
Topological susceptibility at high temperature on the lattice

QCD topological susceptibility at high temperature, $\chi_t(T)$, provides an
important input for the estimate of the axion abundance in the present
Universe. While the model independent determination of $\chi_t(T)$ should be
possible from the first principles using lattice QCD, existing methods fail at
high temperature, since not only the probability that non-trivial topological
sectors appear in the configuration generation process but also the local
topological fluctuations get strongly suppressed. We propose a novel method to
calculate the temperature dependence of topological susceptibility at high
temperature. A feasibility test is performed on a small lattice in the quenched
approximation, and the results are compared with the prediction of the dilute
instanton gas approximation. It is found that the method works well especially
at very high temperature and the result is consistent with the instanton
calculus down to $T\sim 2\, T_c$ within the statistical uncertainty.Comment: 27 pages, 8 figures. Method clarified, matches published versio
Dai-Freed theorem and topological phases of matter

We describe a physics derivation of theorems due to Dai and Freed about the
Atiyah-Patodi-Singer eta-invariant which is important for anomalies and
topological phases of matter. This is done by studying a massive fermion. The
key role is played by the wave function of the ground state in the Hilbert
space of the fermion in the large mass limit. The ground state takes values in
the determinant line bundle and has nontrivial Berry phases which characterize
the low energy topological phases.Comment: 33 pages, 2 figure
Littlest Seesaw model from S4 x U(1)

We show how a minimal (littlest) seesaw model involving two right-handed
neutrinos and a very constrained Dirac mass matrix, with one texture zero and
two independent Dirac masses, may arise from $S_4\times U(1)$ symmetry in a
semi-direct supersymmetric model. The resulting CSD3 form of neutrino mass
matrix only depends on two real mass parameters plus one undetermined phase. We
show how the phase may be fixed to be one of the cube roots of unity by
extending the $S_4\times U(1)$ symmetry to include a product of $Z_3$ factors
together with a CP symmetry, which is spontaneously broken leaving a single
residual $Z_3$ in the charged lepton sector and a residual $Z_2$ in the
neutrino sector, with suppressed higher order corrections. With the phase
chosen from the cube roots of unity to be $-2\pi/3$, the model predicts a
normal neutrino mass hierarchy with $m_1=0$, reactor angle
$\theta_{13}=8.7^\circ$, solar angle $\theta_{12}=34^\circ$, atmospheric angle
$\theta_{23}=44^\circ$, and CP violating oscillation phase $\delta_{\rm
CP}=-93^\circ$, depending on the fit of the model to the neutrino masses.Comment: 23 pages, matches version published in JHE
Stability of Charged Global AdS$_4$ Spacetimes

We study linear and nonlinear stability of asymptotically AdS$_4$ solutions
in Einstein-Maxwell-scalar theory. After summarizing the set of static
solutions we first examine thermodynamical stability in the grand canonical
ensemble and the phase transitions that occur among them. In the second part of
the paper we focus on nonlinear stability in the microcanonical ensemble by
evolving radial perturbations numerically. We find hints of an instability
corner for vanishingly small perturbations of the same kind as the ones present
in the uncharged case. Collapses are avoided, instead, if the charge and mass
of the perturbations come to close the line of solitons. Finally we examine the
soliton solutions. The linear spectrum of normal modes is not resonant and
instability turns on at extrema of the mass curve. Linear stability extends to
nonlinear stability up to some threshold for the amplitude of the perturbation.
Beyond that, the soliton is destroyed and collapses to a hairy black hole. The
relative width of this stability band scales down with the charge Q, and does
not survive the blow up limit to a planar geometry.Comment: 43 pg, 22 fig. Published version. Appendix adde
Resummation of electroweak Sudakov logarithms for real radiation

Using the known resummation of virtual corrections together with knowledge of
the leading-log structure of real radiation in a parton shower, we derive
analytic expressions for the resummed real radiation after they have been
integrated over all of phase space. Performing a numerical analysis for both
the 13 TeV LHC and a 100 TeV $pp$ collider, we show that resummation of the
real corrections is at least as important as resummation of the virtual
corrections, and that this resummation has a sizable effect for partonic center
of mass energies exceeding $\sqrt{s} = {\cal O}$(few TeV). For partonic center
of mass energies $\sqrt{s} \gtrsim$ 10 TeV, which can be reached at a 100 TeV
collider, resummation becomes an O(1) effect and needs to be included even for
rough estimates of the cross-sections.Comment: 23 pages, 6 figures, Several changes to original version, in
  particular a derivation of the exclusive real cross-section. Version
  published in JHE
$\alpha'$ Inflation: Moduli Stabilisation and Observable Tensors from
  Higher Derivatives

The leading order dynamics of the type IIB Large Volume Scenario is
characterised by the interplay between $\alpha'$ and non-perturbative effects
which fix the overall volume and all local blow-up modes leaving (in general)
several flat directions. In this paper we show that, in an arbitrary Calabi-Yau
with at least one blow-up mode resolving a point-like singularity, any
remaining flat directions can be lifted at subleading order by the inclusions
of higher derivative $\alpha'$ corrections. We then focus on simple fibred
cases with one remaining flat direction which can behave as an inflaton if its
potential is generated by both higher derivative $\alpha'$ and winding loop
corrections. Natural values of the underlying parameters give a spectral index
in agreement with observational data and a tensor-to-scalar ratio of order
$r=0.01$ which could be observed by forthcoming CMB experiments. Dangerous
corrections from higher dimensional operators are suppressed due to the
presence of an approximate non-compact shift symmetry.Comment: 21 pages, 3 figure
Neutrino oscillations at DUNE with improved energy reconstruction

We study the physics reach of the long-baseline oscillation analysis of the
DUNE experiment when realistic simulations are used to estimate its neutrino
energy reconstruction capabilities. Our studies indicate that significant
improvements in energy resolution compared to what is customarily assumed are
plausible. This improved energy resolution can increase the sensitivity to
leptonic CP violation in two ways. On the one hand, the CP-violating term in
the oscillation probability has a characteristic energy dependence that can be
better reproduced. On the other hand, the second oscillation maximum,
especially sensitive to $\delta_{CP}$, is better reconstructed. These effects
lead to a significant improvement in the fraction of values of $\delta_{CP}$
for which a $5 \sigma$ discovery of leptonic CP-violation would be possible.
The precision of the $\delta_{CP}$ measurement could also be greatly enhanced,
with a reduction of the maximum uncertainties from $26^\circ$ to $18^\circ$ for
a 300~MW$\cdot$kt$\cdot$yr exposure. We therefore believe that this potential
gain in physics reach merits further investigations of the detector performance
achievable in DUNE.Comment: 24 pages, 10 figures, 2 table
Finite-temperature modification of heavy particle decay and dark matter
  annihilation

We apply the operator product expansion (OPE) technique to the decay and
annihilation of heavy particles in a thermal medium with temperature below the
heavy particle mass, m_chi. This allows us to explain two interesting
observations made before: a) that the leading thermal correction to the decay
width of a charged particle is the same multiplicative factor of the
zero-temperature width for a two-body decay and muon decay, and b) that the
leading thermal correction to fermionic dark matter annihilation arises only at
order T^4/m_chi^4. The OPE further considerably simplifies the computation and
factorizes it into model-independent matrix elements in the thermal background,
and short-distance coefficients to be computed in zero-temperature field
theory.Comment: 13 pages, 3 figure
Notes on S-folds and $\mathcal{N}=3$ theories

We consider D3 branes in presence of an S-fold plane. The latter is a non
perturbative object, arising from the combined projection of an S-duality twist
and a discrete orbifold of the R-symmetry group. This construction naively
gives rise to 4d $\mathcal{N}=3$ SCFTs. Nevertheless it has been observed that
in some cases supersymmetry is enhanced to $\mathcal{N}=4$. In this paper we
study the explicit counting of degrees of freedom arising from vector
multiplets associated to strings suspended between the D3 branes probing the
S-fold. We propose that, for trivial discrete torsion, there is no vector
multiplet associated to $(1,0)$ strings stretched between a brane and its
image. We then focus on the case of rank 2 $\mathcal{N}=3$ theory that enhances
to $SU(3)$ $\mathcal{N}=4$ SYM, explicitly spelling out the isomorphism between
the BPS-spectrum of the manifestly $\mathcal{N}=3$ theory and that of three D3
branes in flat spacetime. Subsequently, we consider 3-pronged strings in these
setups and show how wall-crossing in the S-fold background implies wall
crossing in the flat geometry. This can be considered a consistency check of
the \emph{conjectured} SUSY enhancement. We also find that the above
isomorphism implies that a $(1,0)$ string, suspended between a brane and its
image in the S-fold, corresponds to a 3-string junction in the flat geometry.
This is in agreement with our claim on the absence of a vector multiplet
associated to such $(1,0)$ strings. This is because the 3-string junction in
flat geometry gives rise to a $1/4$-th BPS multiplet of the $\mathcal{N}=4$
algebra. Such multiplets always include particles with spin $>1$ as opposed to
a vector multiplet which is restricted by the requirement that the spins must
be $\leq 1$.Comment: 19 pages, 7 figure
Hunting for Dark Matter Coannihilation by Mixing Dijet Resonances and
  Missing Transverse Energy

Simplified models of the dark matter (co)annihilation mechanism predict
striking new collider signatures untested by current searches. These models,
which were codified in the coannihilation codex, provide the basis for a dark
matter (DM) discovery program at the Large Hadron Collider (LHC) driven by the
measured DM relic density. In this work, we study an exemplary model featuring
$s$-channel DM coannihilation through a scalar diquark mediator as a
representative case study of scenarios with strongly interacting coannihilation
partners. We discuss the full phenomenology of the model, ranging from low
energy flavor constraints, vacuum stability requirements, and precision Higgs
effects to direct detection and indirect detection prospects. Moreover,
motivated by the relic density calculation, we find significant portions of
parameter space are compatible with current collider constraints and can be
probed by future searches, including a proposed analysis for the novel
signature of a dijet resonance accompanied by missing transverse energy (MET).
Our results show that the $13$ TeV LHC with $100~\mathrm{fb}^{-1}$ luminosity
should be sensitive to mediators as heavy as 1 TeV and dark matter in the
400--500 GeV range. The combination of searches for single and paired dijet
peaks, non-resonant jets + MET excesses, and our novel resonant dijet + MET
signature have strong coverage of the motivated relic density region,
reflecting the tight connections between particles determining the dark matter
abundance and their experimental signatures at the LHC.Comment: 35 pages, 9 figure
On triviality of S-matrix in conformal higher spin theory

We consider the conformal higher spin (CHS) theory in d=4 that contains the
s=1 Maxwell vector, s=2 Weyl graviton and their higher spin s=3,4,...
counterparts with higher-derivative \box^s kinetic terms. The interacting
action for such theory can be found as the coefficient of the logarithmically
divergent part in the induced action for sources coupled to higher spin
currents in a free complex scalar field model. We explicitly determine some
cubic and quartic interaction vertices in the CHS action from scalar loop
integrals. We then compute the simplest tree-level 4-particle scattering
amplitudes 11 -> 11, 22 -> 22 and 11 -> 22 and find that after summing up all
the intermediate CHS exchanges they vanish. This generalises the vanishing of
the scattering amplitude for external conformal scalars interacting via the
exchange of all CHS fields found earlier in arXiv:1512.08896. This vanishing
should generalise to all scattering amplitudes in the CHS theory and as in the
conformal scalar scattering case should be a consequence of the underlying
infinite dimensional higher spin symmetry that extends the standard conformal
symmetry.Comment: 32 pages. v2, v3: minor corrections and references adde
Dynamics of the Area Law of Entanglement Entropy

We study the evolution of the universal area law of entanglement entropy when
the Hamiltonian of the system undergoes a time dependent perturbation. In
particular, we derive a general formula for the time dependent first order
correction to the area law under the assumption that the field theory resides
in a vacuum state when a small time-dependent perturbation of a relevant
coupling constant is turned on. Using this formula, we carry out explicit
calculations in free field theories deformed by a time dependent mass, whereas
for a generic QFT we show that the time dependent first order correction is
governed by the spectral function defining the two-point correlation function
of the trace of the energy-momentum tensor. We also carry out holographic
calculations based on the HRT proposal and find qualitative and, in certain
cases, quantitative agreement with the field theory calculations.Comment: 26 pages, one figure. v2: published versio
Angular observables for spin discrimination in boosted diboson final
  states

We investigate the prospects for spin determination of a heavy diboson
resonance using angular observables. Focusing in particular on boosted fully
hadronic final states, we detail both the differences in signal efficiencies
and distortions of differential distributions resulting from various jet
substructure techniques. We treat the 2 TeV diboson excess as a case study, but
our results are generally applicable to any future discovery in the diboson
channel. Scrutinizing ATLAS and CMS analyses at 8 TeV and 13 TeV, we find that
the specific cuts employed in these analyses have a tremendous impact on the
discrimination power between different signal hypotheses. We discuss modified
cuts that can offer a significant boost to spin sensitivity in a post-discovery
era. Even without altered cuts, we show that CMS, and partly also ATLAS, will
be able to distinguish between spin 0, 1, or 2 new physics diboson resonances
at the $2\sigma$ level with 30 fb$^{-1}$ of 13 TeV data, for our 2 TeV case
study.Comment: 42 pages, 11 figures: v2 matches published versio
Modular Hamiltonians for Deformed Half-Spaces and the Averaged Null
  Energy Condition

We study modular Hamiltonians corresponding to the vacuum state for deformed
half-spaces in relativistic quantum field theories on $\mathbb{R}^{1,d-1}$. We
show that in addition to the usual boost generator, there is a contribution to
the modular Hamiltonian at first order in the shape deformation, proportional
to the integral of the null components of the stress tensor along the Rindler
horizon. We use this fact along with monotonicity of relative entropy to prove
the averaged null energy condition in Minkowski space-time. This subsequently
gives a new proof of the Hofman-Maldacena bounds on the parameters appearing in
CFT three-point functions. Our main technical advance involves adapting newly
developed perturbative methods for calculating entanglement entropy to the
problem at hand. These methods were recently used to prove certain results on
the shape dependence of entanglement in CFTs and here we generalize these
results to excited states and real time dynamics. We also discuss the AdS/CFT
counterpart of this result, making connection with the recently proposed
gravitational dual for modular Hamiltonians in holographic theories.Comment: 40 pages, 5 figure
Black holes with vector hair

In this paper, we consider Einstein gravity coupled to a vector field, either
minimally or non-minimally, together with a vector potential of the type
$V=2\Lambda_0+\ft 12 m^2 A^2+\gamma_4 A^4$. For a simpler non-minimally coupled
theory with $\Lambda_0=m=\gamma_4=0$, we obtain both extremal and non-extremal
black hole solutions that are asymptotic to Minkowski space-times. We study the
global properties of the solutions and derive the first law of thermodynamics
using Wald formalism. We find that the thermodynamical first laws of the
extremal black holes are modified by a one form associated with the vector
field. In particular, due to the existence of the non-minimal coupling, the
vector forms thermodynamic conjugates with the graviton mode and partly
contributes to the one form modifying the first laws. For a minimally coupled
theory with $\Lambda_0\neq 0$, we also obtain one class of asymptotically flat
extremal black hole solutions in general dimensions. This is possible because
the parameters $(m^2,\gamma_4)$ take certain values such that $V=0$. In
particular, we find that the vector also forms thermodynamic conjugates with
the graviton mode and contributes to the corresponding first laws, although the
non-minimal coupling has been turned off. Thus all the extremal black hole
solutions that we obtain provide highly non-trivial examples how the first law
of thermodynamics can be modified by a either minimally or non-minimally
coupled vector field.
  We also study Gauss-Bonnet gravity non-minimally coupled to a vector and
obtain asymptotically flat black holes and Lifshitz black holes.Comment: 30 pages, no figures; minor corrections, references added,published
  versio
Second Order RG Flow in General su(2) Coset Models

We consider a RG flow in a general su(2) coset model perturbed by the least
relevant field. The perturbing field as well as some particular fields of
dimension close to one are constructed recursively in terms of lower level
fields. Using this construction we obtain the structure constants and the
four-point correlation functions in the leading order. This allows us to
compute the mixing coefficients among the fields in the UV and the IR theory.
It turns out that they are in agreement with those found recently using the
domain wall construction up to this order.Comment: 29 pages, references added. arXiv admin note: text overlap with
  arXiv:1404.762