pinecone/core-2020-05-10-deduplication huggingface dataset:
Can a millicharged dark matter particle emit an observable γ -ray line?

If a γ -ray line is observed in the near future, it will be important to determine what kind of dark matter (DM) particle could be at its origin. We investigate the possibility that the γ -ray line would be induced by a slow DM particle decay associated to the fact that the DM particle would not be absolutely neutral. A “millicharge” for the DM particle can be induced in various ways, in particular from a kinetic mixing interaction or through the Stueckelberg mechanism. We show that such a scenario could lead in specific cases to an observable γ -ray line. This possibility can be considered in a systematic model-independent way, by writing down the corresponding effective theory. This allows for a multi-channel analysis, giving in particular upper bounds on the intensity of the associated γ -ray line from cosmic rays emission. Our analysis includes the possibility that in the two-body decay the photon is accompanied with a neutrino. We show that, given the stringent constraints which hold on the millicharge of the neutrinos, this is not an option, except if the DM particle mass lies in the very light KeV-MeV range, allowing for a possibility of explanation of the recently claimed, yet to be confirmed, ~ 3.5 KeV X-ray line
Final state interaction in $D^+\to K^-\pi^+\pi^+$ with $K\pi$ I=1/2 and
  3/2 channels

The final state interaction contribution to $D^+$ decays is computed for the
$K^-\pi^+\pi^+$ channel within a light-front relativistic three-body model for
the final state interaction. The rescattering process between the kaon and two
pions in the decay channel is considered. The off-shell decay amplitude is a
solution of a four-dimensional Bethe-Salpeter equation, which is decomposed in
a Faddeev form. The projection onto the light-front of the coupled set of
integral equations is performed via a quasi-potential approach. The S-wave
$K\pi$ interaction is introduced in the resonant isospin $1/2$ and the
non-resonant isospin $3/2$ channels. The numerical solution of the light-front
tridimensional inhomogeneous integral equations for the Faddeev components of
the decay amplitude is performed perturbatively. The loop-expansion converges
fast, and the three-loop contribution can be neglected in respect to the
two-loop results for the practical application. The dependence on the model
parameters in respect to the input amplitude at the partonic level is exploited
and the phase found in the experimental analysis, is fitted with an appropriate
choice of the real weights of the isospin components of the partonic amplitude.
The data suggests a small mixture of total isospin $5/2$ to the dominant $3/2$
one. The modulus of the unsymmetrized decay amplitude, which presents a deep
valley and a following increase for $K\pi$ masses above $1.5$ GeV, is fairly
reproduced. This suggests the assignment of the quantum numbers $0^+$ to the
isospin 1/2 $K^*(1630)$ resonance
Restricted Schurs and correlators for SO( N ) and Sp( N )

In a recent work, restricted Schur polynomials have been argued to form a complete orthogonal set of gauge invariant operators for the 1/4-BPS sector of free N $$ \mathcal{N} $$ = 4 super Yang-Mills theory with an SO( N ) gauge group. In this work, we extend these results to the theory with an Sp( N ) gauge group. Using these operators, we develop techniques to compute correlation functions of any multi-trace operators with two scalar fields exactly in the free theory limit for both SO( N ) and Sp( N )
Study of the kinematic dependences of $\Lambda_b^0$ production in $pp$ collisions and a measurement of the $\Lambda_b^0 \rightarrow \Lambda_c^+\pi^-$ branching fraction

The kinematic dependences of the relative production rates, $f_{\Lambda_b^0}/f_d$, of $\Lambda_b^0$ baryons and $\bar{B}^0$ mesons are measured using $\Lambda_b^0 \rightarrow \Lambda_c^+ \pi^-$ and $\bar{B}^0 \rightarrow D^+ \pi^-$ decays. The measurements use proton-proton collision data, corresponding to an integrated luminosity of 1 fb$^{-1}$ at a centre-of-mass energy of 7 TeV, recorded in the forward region with the LHCb experiment. The relative production rates are observed to depend on the transverse momentum, $p_T$, and pseudorapidity, $\eta$, of the beauty hadron, in the studied kinematic region 1.5<pT<40 GeV/c and 2<η<5. Using a previous LHCb measurement of $f_{\Lambda_b^0}/f_d$ in semileptonic decays, the branching fraction $\mathcal{B}(\Lambda_b^0 \rightarrow \Lambda_c^+ \pi^-) = \Big( 4.30 \pm 0.03 \,\, ^{+0.12}_{-0.11} \pm 0.26 \pm 0.21 \Big) \times 10^{-3}$ is obtained, where the first uncertainty is statistical, the second is systematic, the third is from the previous LHCb measurement of $f_{\Lambda_b^0}/f_d$ and the fourth is due to the $\bar{B}^0 \rightarrow D^+ \pi^-$ branching fraction. This is the most precise measurement of a$\Lambda_b^0$ branching fraction to date
Universality of Long-Distance AdS Physics from the CFT Bootstrap

We begin by explicating a recent proof of the cluster decomposition principle
in AdS_{d+1} from the CFT_d bootstrap in d > 2. The CFT argument also computes
the leading interactions between distant objects in AdS, and we confirm the
universal agreement between the CFT bootstrap and AdS gravity in the
semi-classical limit. We proceed to study the generalization to 2d CFTs, which
requires knowledge of the Virasoro conformal blocks in a lightcone OPE limit.
We compute these blocks in a semiclassical, large central charge approximation,
and use them to prove a suitably modified theorem. In particular, from the 2d
bootstrap we prove the existence of large spin operators with fixed 'anomalous
dimensions' indicative of the presence of deficit angles in AdS_3. As we
approach the threshold for the BTZ black hole, interpreted as a CFT scaling
dimension, the twist spectrum of large spin operators becomes dense. Due to the
exchange of the Virasoro identity block, primary states above the BTZ threshold
mimic a thermal background for light operators. We derive the BTZ quasi-normal
modes, and we use the bootstrap equation to prove that the twist spectrum is
dense. Corrections to thermality could be obtained from a more refined
computation of the Virasoro conformal blocks.Comment: 34+31 pages, references added, typo in higher-dimensional energy
  shift corrected, discussion of coefficient density bounds expande
Global Aspects of Abelian Duality in Dimension Three

In three dimensions, an abelian gauge field is related by duality to a free,
periodic scalar field. Though usually considered on Euclidean space, this
duality can be extended to a general three-manifold M, in which case
topological features of M become important. Here I comment upon several of
these features as related to the partition function on M. In a companion
article, arXiv:1405.2483, I discuss similarly the algebra of operators on a
surface of genus g.Comment: 62 pages, 1 figure, v2: references adde
An analytic result for the two-loop seven-point MHV amplitude in N=4 SYM

We describe a general algorithm which builds on several pieces of data
available in the literature to construct explicit analytic formulas for
two-loop MHV amplitudes in N=4 super-Yang-Mills theory. The non-classical part
of an amplitude is built from $A_3$ cluster polylogarithm functions; classical
polylogarithms with (negative) cluster X-coordinate arguments are added to
complete the symbol of the amplitude; beyond-the-symbol terms proportional to
$\pi^2$ are determined by comparison with the differential of the amplitude;
and the overall additive constant is fixed by the collinear limit. We present
an explicit formula for the seven-point amplitude $R_7^{(2)}$ as a sample
application.Comment: 17 pages, 1 figure; v2: minor changes; v3: added a section with some
  background materia
A Complete Solution Classification and Unified Algorithmic Treatment for
  the One- and Two-Step Asymmetric S-Transverse Mass (MT2) Event Scale
  Statistic

The MT2 or "s-transverse mass" statistic was developed to associate a parent
mass scale to a missing transverse energy signature, given that escaping
particles are generally expected in pairs, while collider experiments are
sensitive to just a single transverse momentum vector sum. This document
focuses on the generalized extension of that statistic to asymmetric one- and
two-step decay chains, with arbitrary child particle masses and upstream
missing transverse momentum. It provides a unified theoretical formulation,
complete solution classification, taxonomy of critical points, and technical
algorithmic prescription for treatment of the MT2 event scale. An
implementation of the described algorithm is available for download, and is
also a deployable component of the author's selection cut software package
AEACuS (Algorithmic Event Arbiter and Cut Selector). Appendices address
combinatoric event assembly, algorithm validation, and a complete pseudocode.Comment: As published in JHEP; appendices address combinatoric event assembly,
  algorithm validation, and a complete pseudocode; program revision included as
  ancillary file; 32 pages; 6 illustrated event case studies; 7 footnoted event
  case studie
NS-NS Sector of Closed Superstring Field Theory

We give a construction for a general class of vertices in superstring field
theory which include integration over bosonic moduli as well as the required
picture changing insertions. We apply this procedure to find a covariant action
for the NS-NS sector of Type II closed superstring field theory.Comment: 33 pages, 2 figures. Removed discussion of imprecise analogy between
  the closed string products and tensor products of open string products. New
  appendix includes explicit expressions for the quartic open and heterotic
  vertice
Detailed study of the K ± → π 0 π 0 e ± ν (K e4 00 ) decay properties

A sample of 65210 K ± → π 0 π 0 e ± ν (K e4 00 ) decay candidates with 1% background contamination has been collected in 2003-2004 by the NA48/2 collaboration at the CERN SPS. A study of the differential rate provides the first measurement of the hadronic form factor variation in the plane ( M ππ 2 ,  M eν 2 ) and brings evidence for a cusp-like structure in the distribution of the squared π 0 π 0 invariant mass around 4 m π + 2 $$ 4{m}_{\pi^{+}}^2 $$ . Exploiting a model independent description of this form factor, the branching ratio, inclusive of radiative decays, is obtained using the K ± → π 0 π 0 π ± decay mode as normalization. It is measured to be BR(K e4 00 ) = (2.552 ± 0.010 stat ± 0.010 syst ± 0.032 ext ) × 10 −5 , which improves the current world average precision by an order of magnitude while the 1.4% relative precision is dominated by the external uncertainty from the normalization mode. A comparison with the properties of the corresponding mode involving a π + π − pair (K e4 + − ) is also presented
Neutralino dark matter at 14 TeV and 100 TeV

In recent years the search for dark matter has intensified with competitive bounds coming from collider searches, direct detection, and indirect detection. Collider searches at the Large Hadron Collider (LHC) lack the necessary center-of-mass energy to probe TeV-scale dark matter. It is TeV-scale dark matter, however, that remains viable for many models of supersymmetry. In this paper, we study the reach of a 100 TeV proton-proton collider for neutralino dark matter and compare to 14 TeV LHC projections. We employ a supersymmetric simplified model approach and present reach estimates from monojet searches, soft lepton searches, and disappearing track searches. The searches are applied to pure neutralino spectra, compressed neutralino spectra, and coannihilating spectra. We find a factor of 4-5 improvement in mass reach in going from 14 TeV to 100 TeV. More specifically, we find that given a 1% systematic uncertainty, a 100 TeV collider could exclude winos up to 1.4 TeV and higgsinos up to 850 GeV in the monojet channel. Coannihilation scenarios with gluinos can be excluded with neutralino masses of 6.2 TeV, with stops at 2.8 TeV, and with squarks at 4.0 TeV. Using a soft lepton search, compressed spectra with a chargino-neutralino splitting of Δ m = 20 − 30 GeV can exclude neutralinos at ~1 TeV. Given a sufficiently long chargino lifetime, the disappearing track search is very effective and we extrapolate current experimental bounds to estimate that a ~2TeVwinocouldbediscoveredanda ~3TeVwinocouldbeexcluded
Entropy current and equilibrium partition function in fluid dynamics

Existence of an entropy current with non-negative divergence puts a lot of
constraints on the transport coefficients of a fluid, so does the existence of
equilibrium. In all the cases we have studied so far we have seen an overlap
between these two sets of constraints. In this note we shall try to explore the
reason for such an overlap. We shall also see how a part of the entropy current
could be determined from the equilibrium partition function.Comment: 39 pages, Version-2: Added a new section and some more arguments in
  the old sections, added new references and corrected typos. 45 pages Version
  3: 50 pages, introduction has been modified, added a new section, added
  reference
Super-Yang-Mills theories on S4 x R

We construct super-Yang-Mills theories on S4 x R, S4 x S1 and S4 x interval
with the field content of maximal SYM, coupled to boundary degrees in the last
case. These theories provide building blocks of the `5d uplifts' of gauge
theories on S4, obtained by compactifying the 6d (2,0) theory. We pay special
attention to the N=2* theory on S4. We also explain how to construct maximal
SYM on S5 x R, and clarify when SYM theories can be put on S^n x R.Comment: 28 pages, no figures; v2. refs added, typos corrected, minor revisio
6D gauge-Higgs unification on T^2/Z_N with custodial symmetry

We investigate the gauge-Higgs unification models compactified on T^2/Z_N
that have the custodial symmetry. We select possible gauge groups, orbifolds
and representations of the matter fermions that are consistent with the
custodial symmetry, by means of the group theoretical analysis. The best
candidate we found is 6D SU(3)_C x U(4) gauge theory on T^2/Z_3 and the third
generation quarks are embedded into bulk fermions that are the symmetric
traceless rank-2 tensor of SO(6).Comment: 38 pages, 1 table, a reference adde
The Goldstone Equivalence Theorem and AdS/CFT

The Goldstone equivalence theorem allows one to relate scattering amplitudes
of massive gauge fields to those of scalar fields in the limit of large
scattering energies. We generalize this theorem under the framework of the
AdS/CFT correspondence. First, we obtain an expression of the equivalence
theorem in terms of correlation functions of creation and annihilation
operators by using an AdS wave function approach to the AdS/CFT dictionary. It
is shown that the divergence of the non-conserved conformal current dual to the
bulk gauge field is approximately primary when computing correlators for
theories in which the masses of all the exchanged particles are sufficiently
large. The results are then generalized to higher spin fields.
  We then go on to generalize the theorem using conformal blocks in two and
four-dimensional CFTs. We show that when the scaling dimensions of the
exchanged operators are large compared to both their spins and the dimension of
the current, the conformal blocks satisfy an equivalence theorem.Comment: 32 pages + appendices, 5 figure
Resonant Higgs boson pair production in the hh → b¯b WW → b¯b`+ν`−ν¯ decay channel

Journal of High Energy Physics 2015.8 (2015): 004 reproduced by permission of Scuola
Internazionale Superiore di Studi Avanzati (SISSA)Abstract: The addition of a scalar singlet provides one of the simplest extensions of the Standard Model. In this work we briefly review the latest constraints on the mass and mixing of the new Higgs boson and study its production and decay at the LHC. We mainly focus on double Higgs production in the hh → bb WW → bbℓ+ νℓ- νdecay channel. This decay is found to be efficient in a region of masses of the heavy Higgs boson of 260-500 GeV, so it is complementary to the 4b channel, more efficient for Higgs bosons with masses greater than 500 GeV. We analyse this di-leptonic decay channel in detail using kinematic variables such as MT2 and the MT2-assisted on-shell reconstruction of invisible momenta. Using proper cuts, a significance of ∼ 3σ for 3000 fb−1 can be achieved at the 14 TeV LHC for mH = 260-400 GeV if the mixing is close to its present limit and BR(H → hh) ≈ 1. Smaller values for the mixing would require combining various decay channels in order to reach a similar significance. The complementarity among H → hh, H →ZZ andH →WW channels is studied for arbitrary BR(H →hh) valuesJMM and VML are partially supported by the grants FPA2010-17747, FPA2012-34694, FPA2013-44773-P and from the Spanish MINECO, Consolider-Ingenio CPAN CSD2007-00042 and MULTIDARK CSD2009-00064 as well as the Centro de Excelencia Severo Ochoa Program under Grant No. SEV-2012-0249. VML also thanks support by the ERC Advanced Grant SPLE under contract ERC-2012-ADG-20120216-320421. The work of CBP was partially supported by the CERN-Korea fellowship through National Research Foundation of Kore
Noncommutative $R^d$ via closed star product

We consider linear star products on $R^d$ of Lie algebra type. First we
derive the closed formula for the polydifferential representation of the
corresponding Lie algebra generators. Using this representation we define the
Weyl star product on the dual of the Lie algebra. Then we construct a gauge
operator relating the Weyl star product with the one which is closed with
respect to some trace functional, $Tr( f\star g)= Tr( f\cdot g)$. We introduce
the derivative operator on the algebra of the closed star product and show that
the corresponding Leibnitz rule holds true up to a total derivative. As a
particular example we study the space $R^3_\theta$ with $\mathfrak{su}(2)$ type
noncommutativity and show that in this case the closed star product is the one
obtained from the Duflo quantization map. As a result a Laplacian can be
defined such that its commutative limit reproduces the ordinary commutative
one. The deformed Leibnitz rule is applied to scalar field theory to derive
conservation laws and the corresponding noncommutative currents.Comment: published versio
A deformed conifold with a cosmological constant

We find a new regular solution of six-dimensional Einstein's equations with a
positive cosmological constant. It has the same isometry group as the
(deformed) conifold geometry, and the superpotential approach is used to solve
the equations of motion. The space is compact and interpolates between the
deformed conifold and the resolved cone with a blown-up four cycle. The
deformation/resolution parameters are set by the cosmological constant.Comment: 10 pages, 2 figures, JHEP style; v2: comments and references added,
  typos fixed; v3: even more comments addde
D-brane on Deformed AdS_3 times S^3

We study D1-brane in AdS_3 times S^3 kappa-deformed background with
non-trivial dilaton and Ramond-Ramond fields. We consider purely time-dependent
and spatially-dependent ansatz where we study the solutions of the equations of
motion for D1-brane in given background. We find that the behavior of these
solutions crucially depends on the value of the parameter a that was introduced
in [arXiv:1411.1066 [hep-th]].Comment: Added References Minor changes were done where "D1 brane reaches the
  boundary" term was replaced by $D1 brane reaches \rho\rightarrow\infty$ We
  would like to express our special thanks to anonymous refere
Fractional instantons and bions in the principal chiral model on
  ${\mathbb R}^2\times S^1$ with twisted boundary conditions

Bions are multiple fractional instanton configurations with zero instanton
charge playing important roles in quantum field theories on a compactified
space with a twisted boundary condition. We classify fractional instantons and
bions in the $SU(N)$ principal chiral model on ${\mathbb R}^2 \times S^1$ with
twisted boundary conditions. We find that fractional instantons are global
vortices wrapping around $S^1$ with their $U(1)$ moduli twisted along $S^1$,
that carry $1/N$ instanton (baryon) numbers for the ${\mathbb Z}_N$ symmetric
twisted boundary condition and irrational instanton numbers for generic
boundary condition. We work out neutral and charged bions for the $SU(3)$ case
with the ${\mathbb Z}_3$ symmetric twisted boundary condition. We also find for
generic boundary conditions that only the simplest neutral bions have zero
instanton charges but instanton charges are not canceled out for charged bions.
A correspondence between fractional instantons and bions in the $SU(N)$
principal chiral model and those in Yang-Mills theory is given through a
non-Abelian Josephson junction.Comment: 30 pages, 2 figures. v2: published version. arXiv admin note: text
  overlap with arXiv:1412.768
Partition functions of 3d $\hat D$-quivers and their mirror duals from
  1d free fermions

We study the matrix models calculating the sphere partition functions of 3d
gauge theories with $\mathcal{N}=4$ supersymmetry and a quiver structure of a
$\hat D$ Dynkin diagram (where each node is a unitary gauge group). As in the
case of necklace ($\hat A $) quivers, we can map the problem to that of free
fermion quantum mechanics whose complicated Hamiltonian we find explicitly.
Many of these theories are conjectured to be dual under mirror symmetry to
certain unitary linear quivers with extra Sp nodes or antisymmetric
hypermultiplets. We show that the free fermion formulations of such mirror
pairs are related by a linear symplectic transformation.
  We then study the large N expansion of the partition function, which as in
the case of the $\hat A$-quivers is given to all orders in 1/N by an Airy
function. We simplify the algorithm to calculate the numerical coefficients
appearing in the Airy function and evaluate them for a wide class of $\hat
D$-quiver theories.Comment: 39 pages, 8 figure
Quantum corrections to unimodular gravity

Journal of High Energy Physics 2015.8 (2015): 078 reproduced by permission of Scuola Internazionale Superiore di Studi Avanzati (SISSA)The problem of the comological constant appears in a new light in Unimodular
Gravity. In particular, the zero momentum piece of the potential (that is, the constant piece
independent of the matter fields) does not automatically produce a cosmological constant
proportional to it. The aim of this paper is to give some details on a calculation showing
that quantum corrections do not renormalize the classical value of this observableThis work has been partially supported by the European Union FP7 ITN INVISIBLES (Marie Curie Actions, PITN- GA-2011- 289442) and (HPRN-CT-200-00148); COST action MP1405 (Quantum Structure of Spacetime), COST action MP1210 (The String Theory Universe) as well as by FPA2012-31880 (MICINN, Spain), FPA2011-24568 (MICINN, Spain), and S2009ESP-1473 (CA Madrid). The authors acknowledge the support of the Spanish MINECO Centro de Excelencia Severo Ochoa Programme under grant SEV-2012-024