pinecone/core-2020-05-10-deduplication huggingface dataset:
The Power of Neutrino Mass Sum Rules for Neutrinoless Double Beta Decay
  Experiments

Neutrino mass sum rules relate the three neutrino masses within generic
classes of flavour models, leading to restrictions on the effective mass
parameter measured in experiments on neutrinoless double beta decay as a
function of the lightest neutrino mass. We perform a comprehensive study of the
implications of such neutrino mass sum rules, which provide a link between
model building, phenomenology, and experiments. After a careful explanation of
how to derive predictions from sum rules, we discuss a large number of examples
both numerically, using all three global fits available for the neutrino
oscillation data, and analytically wherever possible. In some cases, our
results disagree with some of those in the literature for reasons that we
explain. Finally we discuss the experimental prospects for many current and
near-future experiments, with a particular focus on the uncertainties induced
by the unknown nuclear physics involved. We find that, in many cases, the power
of the neutrino mass sum rules is so strong as to allow certain classes of
models to be tested by the next generation of neutrinoless double beta decay
experiments. Our study can serve as both a guideline and a theoretical
motivation for future experimental studies.Comment: v2: typos corrected, slight modifications, one sum rule added, one
  more figur
Generalised CP and $A_4$ Family Symmetry

We perform a comprehensive study of family symmetry models based on $A_4$
combined with the generalised CP symmetry $H_{\rm{CP}}$. We investigate the
lepton mixing parameters which can be obtained from the original symmetry
$A_4\rtimes H_{\rm{CP}}$ breaking to different remnant symmetries in the
neutrino and charged lepton sectors. We find that only one case is
phenomenologically viable, namely $G^{\nu}_{\rm{CP}}\cong Z^{S}_2\times
H^{\nu}_{\rm{CP}}$ in the neutrino sector and $G^{l}_{\rm{CP}}\cong
Z^{T}_3\rtimes H^{l}_{\rm{CP}}$ in the charged lepton sector, leading to the
prediction of no CP violation, namely $\delta_{CP}$ and the Majorana phases
$\alpha_{21}$ and $\alpha_{31}$ are all equal to either zero or $\pi$. We then
propose an effective supersymmetric model based on the symmetry $A_4\rtimes
H_{\rm{CP}}$ in which trimaximal lepton mixing is predicted together with
either zero CP violation or $\delta_{CP}\simeq\pm \pi/2$ with non-trivial
Majorana phases. An ultraviolet completion of the effective model yields a
neutrino mass matrix which depends on only three real parameters. As a result
of this, all three CP phases and the absolute neutrino mass scale are
determined, the atmospheric mixing angle is maximal, and the Dirac CP can
either be preserved with $\delta_{CP}=0,\pi$ or maximally broken with
$\delta_{CP}=\pm \pi /2$ and sharp predictions for the Majorana phases and
neutrinoless double beta decay.Comment: 38 pages, 3 figure
QCD effects in mono-jet searches for dark matter

LHC searches for missing transverse energy in association with a jet allow to
place strong bounds on the interactions between dark matter and quarks. In this
article, we present an extension of the POWHEG BOX capable of calculating the
underlying cross sections at the next-to-leading order level. This approach
enables us to consistently include the effects of parton showering and to apply
realistic experimental cuts. We find significant differences from a fixed-order
analysis that neglects parton showering effects. In particular, next-to-leading
order corrections do not lead to a significant enhancement of the mono-jet
cross section once a veto on additional jets is imposed. Nevertheless, these
corrections reduce the theoretical uncertainties of the signal prediction and
therefore improve the reliability of the derived bounds. We present our results
in terms of simple rescaling factors, which can be directly applied to existing
experimental analyses and discuss the impact of changing experimental cuts.Comment: Added KITP affiliations, fixed 2 very minor typos, matches version
  published in JHE
Multivariate Residues and Maximal Unitarity

We extend the maximal unitarity method to amplitude contributions whose cuts
define multidimensional algebraic varieties. The technique is valid to all
orders and is explicitly demonstrated at three loops in gauge theories with any
number of fermions and scalars in the adjoint representation. Deca-cuts
realized by replacement of real slice integration contours by
higher-dimensional tori encircling the global poles are used to factorize the
planar triple box onto a product of trees. We apply computational algebraic
geometry and multivariate complex analysis to derive unique projectors for all
master integral coefficients and obtain compact analytic formulae in terms of
tree-level data.Comment: 34 pages, 3 figure
QCD Corrections to Quark (Chromo)Electric Dipole Moments in High-scale
  Supersymmetry

Recent results from the LHC experiments, both for the Higgs mass measurement
and the direct search for supersymmetric (SUSY) particles, might indicate that
the SUSY breaking scale is much higher than the electroweak scale. Although it
is difficult to investigate such a scenario at collider experiments, the
measurement of the hadronic electric dipole moments is one of promising ways to
detect the effects of the SUSY particles. These effects are expressed in terms
of the CP-violating effective operators defined at the SUSY breaking scale,
which involve quarks, gluons, photons, and gluinos. In this paper, we discuss
the QCD corrections to the effective operators in the high-scale SUSY scenario.
To appropriately evaluate the radiative corrections in the presence of large
mass hierarchy among the SUSY particles, we exploit an effective theoretical
approach based on the renormalization-group equations. As a result, it is found
that the low-energy quark electric and chromoelectric dipole moments may differ
from those evaluated in previous works by O(100) % and O(10) %, respectively.Comment: 15 pages, 4 figures; v2: typos correcte
Recurrence Relations for Finite-Temperature Correlators via
  AdS$_{2}$/CFT$_{1}$

This note is aimed at presenting a new algebraic approach to momentum-space
correlators in conformal field theory. As an illustration we present a new
Lie-algebraic method to compute frequency-space two-point functions for charged
scalar operators of CFT$_{1}$ dual to AdS$_{2}$ black hole with constant
background electric field. Our method is based on the real-time prescription of
AdS/CFT correspondence, Euclideanization of AdS$_{2}$ black hole and projective
unitary representations of the Lie algebra $\mathfrak{sl}(2,\mathbb{R}) \oplus
\mathfrak{sl}(2,\mathbb{R})$. We derive novel recurrence relations for
Euclidean CFT$_{1}$ two-point functions, which are exactly solvable and
completely determine the frequency- and charge-dependences of two-point
functions. Wick-rotating back to Lorentzian signature, we obtain retarded and
advanced CFT$_{1}$ two-point functions that are consistent with the known
results.Comment: 15 pages, 3 tikz figures; typos corrected, footnotes and references
  adde
Radiatively-driven natural supersymmetry at the LHC

Radiatively-driven natural supersymmetry (RNS) potentially reconciles the Z
and Higgs boson masses close to 100 GeV with gluinos and squarks lying beyond
the TeV scale. Requiring no large cancellations at the electroweak scale in
constructing M_Z=91.2 GeV while maintaining a light Higgs scalar with m_h 125
GeV implies a sparticle mass spectrum including light higgsinos with mass
100-300 GeV, electroweak gauginos in the 300-1200 GeV range, gluinos at 1-4 TeV
and top/bottom squarks in the 1-4 TeV range (probably beyond LHC reach), while
first/second generation matter scalars can exist in the 5-30 TeV range (far
beyond LHC reach). We investigate several characteristic signals for RNS at
LHC14. Gluino pair production yields a reach up to m_{\tg} 1.7 TeV for 300
fb^{-1}. Wino pair production -- pp\to\tw_2\tz_4 and \tw_2\tw_2 -- leads to a
unique same-sign diboson (SSdB) signature accompanied by modest jet activity
from daughter higgsino decays; this signature provides the best reach up to
m_{\tg} 2.1 TeV within this framework. Wino pair production also leads to final
states with (WZ\to 3\ell)+\eslt as well as 4\ell+\eslt which give confirmatory
signals up to m_{\tg} 1.4 TeV. Directly produced light higgsinos yield a clean,
soft trilepton signature (due to very low visible energy release) which can be
visible, but only for a not-too-small a \tz_2-\tz_1 mass gap. The clean SSdB
signal -- as well as the distinctive mass shape of the dilepton mass
distribution from \tz_{2,3}\to\tz_1\ell\ell decays if this is accessible --
will mark the presence of light higgsinos which are necessary for natural SUSY.
While an e^+e^- collider operating with \sqrt{s} 600 GeV should unequivocally
reveal the predicted light higgsinos, the RNS model with m_{1/2}> 1 TeV may
elude all LHC14 search strategies even while maintaining a high degree of
electroweak naturalness.Comment: 30 pages with 26 .eps figures; updated version corrects an error that
  caused the cross sections for production of unlike pairs of electroweak-inos
  in Figs. 4 and 5 to be too large by a factor of 2. This error did not
  propagate into the rest of the pape
Restricting the LSND and MiniBooNE sterile neutrinos with the IceCube
  atmospheric neutrino data

We study oscillations of the high energy atmospheric neutrinos in the Earth
into sterile neutrinos with the eV-scale mass. The MSW resonance and parametric
enhancement of the $\bar{\nu}_\mu\to\bar{\nu}_s$ oscillations lead to
distortion of the zenith angle distribution of the muon-track events which can
be observed by IceCube. Due to matter effect, the IceCube signal depends not
only on the mixing element $U_{\mu 4}$ relevant for LSND and MiniBooNE but also
on $U_{\tau 4}$ and the CP-violating phase $\delta_{24}$. We show that the case
with $U_{\tau 4} = \delta_{24} = 0$ leads to the weakest IceCube signal and
therefore should be used to bound $U_{\mu 4}$. We compute the zenith angle
distributions of the $\nu_\mu-$events for different energy intervals in the
range (0.1 - 10) TeV and find that inclusion of the energy information (binning
in energy) improves the sensitivity to $\nu_s$ drastically. We estimate that
with already collected (during 3 - 4 years) IceCube statistics the bound
$|U_{\mu 4}|^2 < 0.01$ ($99\%$ C.L.) can be established and the mixing required
by LSND and MiniBooNE can be excluded at $(4 - 6) \sigma$ confidence level.Comment: 30 pages, 10 figures; v3: several clarifications added, figures
  added, references added, matches the version published in JHE
Phase shifts in I=2 {\pi}{\pi}-scattering from two lattice approaches

We present a lattice QCD study of the phase shift of $I{=}2$ $\pi\pi$
scattering on the basis of two different approaches: the standard finite volume
approach by Luscher and the recently introduced HAL QCD potential method.
Quenched QCD simulations are performed on lattices with extents
$N_s{=}16,24,32,48$ and $N_t{=}128$ as well as lattice spacing
$a{\sim}0.115\,\mathrm{fm}$ and a pion mass of $m_\pi{\sim}940\,\mathrm{MeV}$.
The phase shift and the scattering length are calculated in these two methods.
In the potential method, the error is dominated by the systematic uncertainty
associated with the violation of rotational symmetry due to finite lattice
spacing. In Luscher's approach, such systematic uncertainty is difficult to be
evaluated and thus is not included in this work. A systematic uncertainty
attributed to the quenched approximation, however, is not evaluated in both
methods. In case of the potential method, the phase shift can be calculated for
arbitrary energies below the inelastic threshold. The energy dependence of the
phase shift is also obtained from Luscher's method using different volumes
and/or nonrest-frame extension of it. The results are found to agree well with
the potential method.Comment: Version 2, consistent with published versio
A Closer Look at Gaugino Masses in Pure Gravity Mediation Model/Minimal
  Split SUSY Model

We take a closer look at the gaugino masses in the context of pure gravity
mediation models/minimal split SUSY models. We see that the gaugino mass
spectrum has a richer structure in the presence of vector-like matter fields
even when they couple to the supersymmetry breaking sector only through Planck
suppressed operators. For example, the gluino mass can be much lighter than in
anomaly mediation, enhancing the detectability of the gluino at the LHC
experiments. The rich gaugino spectrum also allows new possibilities for dark
matter scenarios such as the bino-wino co-annihilation, bino-gluino
co-annihilation, or even wino-gluino co-annihilation scenarios, which affects
future collider experiments as well as dark matter search experiments.Comment: 25 pages, 5 figures, 1 table, v2 references and explanations adde
Renormalization group flow of Ho\v{r}ava-Lifshitz gravity at low
  energies

The functional renormalization group equation for projectable
Ho\v{r}ava-Lifshitz gravity is used to derive the non-perturbative beta
functions for the Newton's constant, cosmological constant and anisotropy
parameter. The resulting coupled differential equations are studied in detail
and exemplary RG trajectories are constructed numerically. The beta functions
possess a non-Gaussian fixed point and a one-parameter family of Gaussian fixed
points. One of the Gaussian fixed points corresponds to the Einstein-Hilbert
action with vanishing cosmological constant and constitutes a saddle point with
one IR-attractive direction. For RG trajectories dragged into this fixed point
at low energies diffeomorphism invariance is restored. The emergence of general
relativity from Ho\v{r}ava-Lifshitz gravity can thus be understood as a
crossover-phenomenon where the IR behavior of the theory is controlled by this
Gaussian fixed point. In particular RG trajectories with a tiny positive
cosmological constant also come with an anisotropy parameter which is
compatible with experimental constraints, providing a mechanism for the
approximate restoration of diffeomorphism invariance in the IR. The
non-Gaussian fixed point is UV-attractive in all three coupling constants. Most
likely, this fixed point is the imprint of Asymptotic Safety at the level of
Ho\v{r}ava-Lifshitz gravity.Comment: 32 pages, 6 figure
Higgs Mass from D-Terms: a Litmus Test

We explore supersymmetric theories in which the Higgs mass is boosted by the
non-decoupling D-terms of an extended $U(1)_X$ gauge symmetry, defined here to
be a general linear combination of hypercharge, baryon number, and lepton
number. Crucially, the gauge coupling, $g_X$, is bounded from below to
accommodate the Higgs mass, while the quarks and leptons are required by gauge
invariance to carry non-zero charge under $U(1)_X$. This induces an irreducible
rate, $\sigma$BR, for $pp \rightarrow X \rightarrow \ell\ell$ relevant to
existing and future resonance searches, and gives rise to higher dimension
operators that are stringently constrained by precision electroweak
measurements. Combined, these bounds define a maximally allowed region in the
space of observables, ($\sigma$BR, $m_X$), outside of which is excluded by
naturalness and experimental limits. If natural supersymmetry utilizes
non-decoupling D-terms, then the associated $X$ boson can only be observed
within this window, providing a model independent `litmus test' for this broad
class of scenarios at the LHC. Comparing limits, we find that current LHC
results only exclude regions in parameter space which were already disfavored
by precision electroweak data.Comment: 7 pages, 9 figure
Inversion Symmetry of Gravitational Coupling in Cubic String Field
  Theory

It was found that the canonical energy of multi-brane solutions in CSFT
constructed by the KBc algebra has a symmetry under the exchange of K=0 and
K=\infty (inversion symmetry). On the other hand, the gauge invariant
observable (GIO), which is regarded as the energy defined by the gravitational
coupling of open string, cannot count the energy from K=\infty and therefore is
not equal to the canonical energy. To resolve this discrepancy, we examine the
recent argument of Baba and Ishibashi which directly relates the two energies.
We find that the gravitational coupling which is equivalent to the canonical
energy consists of the GIO and another new term, and the whole has the
inversion symmetry.Comment: 31 pages, 6 figures. v3: Sec.3.3 improved, version to appear in JHE
Entanglement Temperature and Entanglement Entropy of Excited States

We derive a general relation between the ground state entanglement
Hamiltonian and the physical stress tensor within the path integral formalism.
For spherical entangling surfaces in a CFT, we reproduce the \emph{local}
ground state entanglement Hamiltonian derived by Casini, Huerta and Myers. The
resulting reduced density matrix can be characterized by a spatially varying
"entanglement temperature." Using the entanglement Hamiltonian, we calculate
the first order change in the entanglement entropy due to changes in conserved
charges of the ground state, and find a local first law-like relation for the
entanglement entropy. Our approach provides a field theory derivation and
generalization of recent results obtained by holographic techniques. However,
we note a discrepancy between our field theoretically derived results for the
entanglement entropy of excited states with a non-uniform energy density and
current holographic results in the literature. Finally, we give a CFT
derivation of a set of constraint equations obeyed by the entanglement entropy
of excited states in any dimension. Previously, these equations were derived in
the context of holography.Comment: 17 pages, 3 figures. Typo fixed in eq. (III.12) and constraint
  equation (VI.18) added generalizing previous result to higher dimensions.Some
  references adde
Four-Dimensional Asymptotically AdS Black Holes with Scalar Hair

We present a new family of asymptotically AdS four-dimensional black hole
solutions with scalar hair of a gravitating system consisting of a scalar field
minimally coupled to gravity with a self-interacting potential. For a certain
profile of the scalar field we solve the Einstein equations and we determine
the scalar potential. Thermodynamically we show that there is a critical
temperature below which there is a phase transition of a black hole with
hyperbolic horizon to the new hairy black hole configuration.Comment: Version accepted for publication in JHE
(Non) supersymmetric quantum quenches

We explore supersymmetric quantum quenches of the mass and coupling constants
in the $\mathcal{N}=1$ supersymmetric vector model using Hartee-Fock
approximation. We find that in the case of the free fermionic field, quench of
the mass generates singularity localized at the instant of sudden change and we
point out the essential role of the parity of spacetime. Focusing on a
supersymmetric generalization of the $\phi^6$ model and using stationary phase
approximation, we demonstrate that supersymmetry is broken in the asymptotic
state that emerges at late times after the quench. Finally, we confirm SUSY
breaking in the time-dependent setting by integrating numerically the exact
equations of motion from the instant of the quench into asymptotic regime. We
argue that the breaking of supersymmetry cannot be attributed to the thermal
physics since to leading order in the Hartee-Fock approximation the final state
is not thermal.Comment: 23 pages, 4 figure
Conformal Complementarity Maps

We study quantum cosmological models for certain classes of bang/crunch
singularities, using the duality between expanding bubbles in AdS with a FRW
interior cosmology and perturbed CFTs on de Sitter space-time. It is pointed
out that horizon complementarity in the AdS bulk geometries is realized as a
conformal transformation in the dual deformed CFT. The quantum version of this
map is described in full detail in a toy model involving conformal quantum
mechanics. In this system the complementarity map acts as an exact duality
between eternal and apocalyptic Hamiltonian evolutions. We calculate the
commutation relation between the Hamiltonians corresponding to the different
frames. It vanishes only on scale invariant states.Comment: 38 pages, 9 figure
The Energy Loss of a Heavy Quark Moving Through a General Fluid
  Dynamical Flow

We determine the most general form of the covariant drag force exerted on a
quark moving through a fluid dynamical flow. Up to first order in derivative
expansion, our general formula requires the specification of seven coefficient
functions. We use the perturbative method introduced in arXiv:1202.2737 and
find all these coefficients in the hydrodynamic regime of a $\mathcal{N}=4$ SYM
plasma. Having this general formula, we can obtain the rate of the energy and
momentum loss of a quark, namely the drag force, in a general flow. This result
makes it possible to perturbatively study the motion of heavy quarks moving
through the Bjorken flow up to first order in derivative expansion.Comment: 28 pages, v2: typos corrected, v3: Note added + Some corrections in
  the expression of F^
On the partition functions of higher spin black holes

We reconsider black hole solutions of D = 3 higher-spin gravity in the
$hs[\lambda]\oplus hs[\lambda]$ Chern-Simons formulation. A suitable
generalisation of the BTZ black hole has a spin-3 chemical potential $\alpha$,
and non-zero values of all the conserved charges associated with the asymptotic
$\mathcal W_\infty[\lambda]$ symmetry. We extend the available perturbative
expansion of the partition function to order $\mathcal O(\alpha^{18})$ for
generic values of the $\lambda$ parameter. The result matches the CFT
prediction at $\lambda=0$ and at $\lambda=1$ where we provide the exact
all-order expansion of the partition function. The perturbative series is then
analysed in the interesting non-trivial limit $\lambda\to\infty$ and we derive
the exact analytical expressions of the partition function and the spin-4
charge in closed form as functions of $\alpha$. Also, the first subleading
correction at large $\lambda$ is shown to be simply related to the leading
contribution.Comment: 15 pages, 4 figures. v2: more comments and reference
An effective field theory for non-relativistic Majorana neutrinos

Heavy Majorana neutrinos enter in many scenarios of physics beyond the
Standard Model: in the original seesaw mechanism they provide a natural
explanation for the small masses of the Standard Model neutrinos and in the
simplest leptogenesis framework they are at the origin of the baryonic matter
of the universe. In this paper, we develop an effective field theory for
non-relativistic Majorana particles, which is analogous to the heavy-quark
effective theory. Then, we apply it to the case of a heavy Majorana neutrino
decaying in a hot and dense plasma of Standard Model particles, whose
temperature is much smaller than the mass of the Majorana neutrino but still
much larger than the electroweak scale. The neutrino width gets
zero-temperature contributions that can be computed from in-vacuum matrix
elements, and thermal corrections. Only the latter will be addressed. Symmetry
and power counting arguments made manifest by the effective field theory
restrict the form of the thermal corrections and simplify their calculation.
The final result agrees with recent determinations obtained with different
methods. The effective field theory presented here is suitable to be used for a
variety of different models involving non-relativistic Majorana fermions.Comment: Published version. 25 pages, 7 figures, references adde