pinecone/core-2020-05-10-deduplication huggingface dataset:
Analytic result for the nonplanar hexa-box integrals.

In this paper, we analytically compute all master integrals for one of the two non-planar integral families for five-particle massless scattering at two loops. We first derive an integral basis of 73 integrals with constant leading singularities. We then construct the system of differential equations satisfied by them, and find that it is in canonical form. The solution space is in agreement with a recent conjecture for the non-planar pentagon alphabet. We fix the boundary constants of the differential equations by exploiting constraints from the absence of unphysical singularities. The solution of the differential equations in the Euclidean region is expressed in terms of iterated integrals. We cross-check the latter against previously known results in the literature, as well as with independent Mellin-Barnes calculations
Resummation for rapidity distributions in top-quark pair production.

We extend our framework for the simultaneous resummation of soft and small-mass logarithms to rapidity distributions in top quark pair production. We give numerical results for the rapidity distribution of the top quark or the anti-top quark, as well as the rapidity distribution of the   tt¯  pair, finding that resummation effects stabilize the dependence of the differential cross sections on the choice of factorization scale. We compare our results with recent measurements at the Large Hadron Collider and find good agreement. Our results may be useful in the extraction of the gluon parton distribution function from   tt¯  production
Generalized Gibbs ensemble and the statistics of KdV charges in 2D CFT.

Two-dimensional CFTs have an infinite set of commuting conserved charges, known as the quantum KdV charges. We study the Generalized Gibbs Ensemble with chemical potentials for these charges at high temperature. In a large central charge limit, the partition function can be computed in a saddle-point approximation. We compare the ensemble values of the KdV charges to the values in a microstate, and find that they match irrespective of the values of the chemical potentials. We study the partition function at finite central charge perturbatively in the chemical potentials, and find that this degeneracy is broken. We also study the statistics of the KdV charges at high level within a Virasoro representation, and find that they are sharply peake
Chiral extrapolation of the strangeness changing scalar K pi form factor

We perform a chiral extrapolation of lattice data on the scalar K pi form factor and the ratio of the kaon and pion decay constants within Chiral Perturbation Theory to two loops. We determine the value of the scalar form factor at zero momentum transfer, at the Callan-Treiman point and at its soft kaon analog as well as its slope. Results are in good agreement with their determination from experiment using the standard couplings of quarks to the W boson. The slope is however rather large. A study of the convergence of the chiral expansion is also performed.We are extremely grateful to Johan Bijnens for giving us his programs for calculating the scalar and\ud
vector form factors. Without his help this work would not have been possible. We would like to thank the RBC/UKQCD collaboration for providing us with the lattice data on the scalar form factor. We are\ud
grateful to Sebastien Descotes-Genon, Christoph Haefeli, Ilaria Jemos, Andreas Jüttner and Ulf-G.\ud
Meißner for interesting discussions and useful comments. This work has been supported in part by the\ud
EU contract MRTN-CT-2006-035482 (”Flavianet”), the European Community-Research Infrastructure\ud
Integrating Activity ”Study of Strongly Interaction Matter” (acronym Hadron-Physics2, Grant\ud
Agreement n. 227431) under the Seventh Framework Programme of the EU, by MEC (Spain) under\ud
grant FPA2007-60323 and by the Spanish Consolider-Ingenio 2010 Programme CPAN (CSD2007-\ud
00042).Peer reviewe
On thermodynamics of N=6 superconformal Chern-Simons theory

We study thermodynamics of N=6 superconformal Chern-Simons theory by
computing quantum corrections to the free energy. We find that in weakly
coupled ABJM theory on R(2) x S(1), the leading correction is non-analytic in
the 't Hooft coupling lambda, and is approximately of order lambda^2
log(lambda)^3. The free energy is expressed in terms of the scalar thermal mass
m, which is generated by screening effects. We show that this mass vanishes to
1-loop order. We then go on to 2-loop order where we find a finite and positive
mass squared m^2. We discuss differences in the calculation between Coulomb and
Lorentz gauge. Our results indicate that the free energy is a monotonic
function in lambda which interpolates smoothly to the N^(3/2) behaviour at
strong coupling.Comment: 29 pages. v2: references added. v3: minor changes, references added,
  published versio
Drag force in a hot non-relativistic, non-commutative Yang-Mills plasma

We apply the standard technique of Null Melvin Twist to the non-extremal (D1,
D3) bound state configuration of type IIB string theory. Under a particular
decoupling limit, such configuration represents the gravity dual of the
non-relativistic, non-commutative Yang-Mills theory at a finite temperature. We
then use the AdS/CFT and the string probe approach to compute the drag force on
an external quark moving through such a hot non-relativistic, non-commutative
YM plasma. We discuss various limiting cases to show the interplay between the
non-relativistic as well as the non-commutative effect of the general drag
force expression.Comment: 18 pages, no figures, v2: added references, v3: typos fixed and as a
  result some eqs. have been corrected, version to appear in JHEP, v4: correct
  version (a wrong version was uploaded in v3
Space-like minimal surfaces in AdS x S

We present a four parameter family of classical string solutions in AdS_3 x
S^3, which end along a light-like tetragon at the boundary of AdS_3 and carry
angular momentum along two cycles on the sphere. The string surfaces are
space-like and their projections on AdS_3 and on S^3 have constant mean
curvature. The construction is based on the Pohlmeyer reduction of the related
sigma model. After embedding in AdS_5 x S^5, we calculate the regularized area
and analyze conserved charges. Comments on possible relations to scattering
amplitudes are presented. We also sketch time-like versions of our solutions.Comment: v3: 30 pages, reference added, minor change
Causality constraints in AdS/CFT from conformal collider physics and
  Gauss-Bonnet gravity

We explore the relation between positivity of the energy constraints in
conformal field theories and causality in their dual gravity description. Our
discussion involves CFTs with different central charges whose description, in
the gravity side, requires the inclusion of quadratic curvature corrections. It
is enough, indeed, to consider the Gauss-Bonnet term. We find that both sides
of the AdS/CFT correspondence impose a restriction on the Gauss-Bonnet
coupling. In the case of 6d supersymmetric CFTs, we show the full matching of
these restrictions. We perform this computation in two ways. First by
considering a thermal setup in a black hole background. Second by scrutinizing
the scattering of gravitons with a shock wave in AdS. The different helicities
provide the corresponding lower and upper bounds. We generalize these results
to arbitrary higher dimensions and comment on some hints and puzzles they
prompt regarding the possible existence of higher dimensional CFTs and the
extent to which the AdS/CFT correspondence would be valid for them.Comment: 31 pages, 5 figures; v2: typos fixed, cosmetic amendments and
  references adde
Neutrino oscillations: Quantum mechanics vs. quantum field theory

A consistent description of neutrino oscillations requires either the
quantum-mechanical (QM) wave packet approach or a quantum field theoretic (QFT)
treatment. We compare these two approaches to neutrino oscillations and discuss
the correspondence between them. In particular, we derive expressions for the
QM neutrino wave packets from QFT and relate the free parameters of the QM
framework, in particular the effective momentum uncertainty of the neutrino
state, to the more fundamental parameters of the QFT approach. We include in
our discussion the possibilities that some of the neutrino's interaction
partners are not detected, that the neutrino is produced in the decay of an
unstable parent particle, and that the overlap of the wave packets of the
particles involved in the neutrino production (or detection) process is not
maximal. Finally, we demonstrate how the properly normalized oscillation
probabilities can be obtained in the QFT framework without an ad hoc
normalization procedure employed in the QM approach.Comment: LaTeX, 42 pages, 1 figure; v2: minor clarifications, matches
  published version; v3: Corrected the discussion of the conditions under which
  an oscillation probability can be sensibly defined in the QFT approach (sec.
  5.2.4
E7(7) invariant Lagrangian of d=4 N=8 supergravity

We present an E7(7) invariant Lagrangian that leads to the equations of
motion of d=4 N=8 supergravity without using Lagrange multipliers. The
superinvariance of this new action and the closure of the supersymmetry algebra
are proved explicitly for the terms that differ from the Cremmer--Julia
formulation. Since the diffeomorphism symmetry is not realized in the standard
way on the vector fields, we switch to the Hamiltonian formulation in order to
prove the invariance of the E7(7) invariant action under general coordinate
transformations. We also construct the conserved E7(7)-Noether current of
maximal supergravity and we conclude with comments on the implications of this
manifest off-shell E7(7)-symmetry for quantizing d=4 N=8 supergravity, in
particular on the E7(7)-action on phase space.Comment: 45 pages, references adde
Holographic current correlators at finite coupling and scattering off a
  supersymmetric plasma

By studying the effect of the order(\alpha'^3) string theory corrections to
type IIB supergravity, including those corrections involving the Ramond-Ramond
five-form field strength, we obtain the corrected equations of motion of an
Abelian perturbation of the AdS_5-Schwarzschild black hole. We then use the
gauge theory/string theory duality to examine the coupling-constant dependence
of vector current correlators associated to a gauged U(1) sub-group of the
global R-symmetry group of strongly-coupled N=4 supersymmetric Yang-Mills
theory at finite temperature. The corrections induce a set of higher-derivative
operators for the U(1) gauge field, but their effect is highly suppressed. We
thus find that the order(\alpha'^3) corrections affect the vector correlators
only indirectly, through the corrected metric. We apply our results to
investigate scattering off a supersymmetric Yang-Mills plasma at low and high
energy. In the latter regime, where Deep Inelastic Scattering is expected to
occur, we find an enhancement of the plasma structure functions in comparison
with the infinite 't Hooft coupling result.Comment: 38 pages, 6 figures, minor clarifications added, typos corrected,
  references adde
Supersymmetric Intersecting Branes on the Waves

We construct a general family of supersymmetric solutions in time- and
space-dependent wave backgrounds in general supergravity theories describing
single and intersecting p-branes embedded into time-dependent dilaton-gravity
plane waves of an arbitrary (isotropic) profile, with the brane world-volume
aligned parallel to the propagation direction of the wave. We discuss how many
degrees of freedom we have in the solutions. We also propose that these
solutions can be used to describe higher-dimensional time-dependent "black
holes", and discuss their property briefly.Comment: 12 pages, LaTe
On the worldsheet theory of the type IIA AdS(4) x CP(3) superstring

We perform a detailed study of the type IIA superstring in AdS(4) x CP(3).
After introducing suitable bosonic light-cone and fermionic kappa worldsheet
gauges we derive the pure boson and fermion SU(2|2) x U(1) covariant light-cone
Hamiltonian up to quartic order in fields.
  As a first application of our derivation we calculate energy shifts for
string configurations in a closed fermionic subsector and successfully match
these with a set of light-cone Bethe equations. We then turn to investigate the
mismatch between the degrees of freedom of scattering states and oscillatory
string modes. Since only light string modes appear as fundamental Bethe roots
in the scattering theory, the physical role of the remaining $4_F+4_B$ massive
oscillators is rather unclear. By continuing a line of research initiated by
Zarembo, we shed light on this question by calculating quantum corrections for
the propagators of the bosonic massive fields. We show that, once loop
corrections are incorporated, the massive coordinates dissolve in a continuum
state of two light particles.Comment: 40 pages, 2 figures. v3: Minor clarifications made and reference list
  updated. Published version
Open and Unoriented Strings from Topological Membrane - I. Prolegomena

We study the orbifold of Topological Membrane (TM), a Topological Massive Gauge Theory (TMGT), defined in $S^2\times[0,1]$ and $T^2\times[0,1]$. The orbifolding is constructed by gauging discrete symmetries of the bulk 3D field theory, namely $PCT/PT$ symmetries. We consider several generalized definitions of parity, depending on these choices we obtain open, open unoriented and close unoriented theories. The orbifolds involving $PCT$ correspond to Dirichlet boundary conditions for open strings and to twisted sectors for close unoriented strings while the orbifolds involving $PT$ one has to Neumann boundary conditions for open strings and to untwisted sectors (orientifolds) for close unoriented strings. A detailed account of the charge spectrum and CFT correlation functions is given
Analytic Results for Massless Three-Loop Form Factors

We evaluate, exactly in d, the master integrals contributing to massless
three-loop QCD form factors. The calculation is based on a combination of a
method recently suggested by one of the authors (R.L.) with other techniques:
sector decomposition implemented in FIESTA, the method of Mellin--Barnes
representation, and the PSLQ algorithm. Using our results for the master
integrals we obtain analytical expressions for two missing constants in the
ep-expansion of the two most complicated master integrals and present the form
factors in a completely analytic form.Comment: minor revisions, to appear in JHE
Variant supercurrent multiplets

In N = 1 rigid supersymmetric theories, there exist three standard
realizations of the supercurrent multiplet corresponding to the (i) old
minimal, (ii) new minimal and (iii) non-minimal off-shell formulations for N =
1 supergravity. Recently, Komargodski and Seiberg in arXiv:1002.2228 put
forward a new supercurrent and proved its consistency, although in the past it
was believed not to exist. In this paper, three new variant supercurrent
multiplets are proposed. Implications for supergravity-matter systems are
discussed.Comment: 11 pages; V2: minor changes in sect. 3; V3: published version; V4:
  typos in eq. (2.3) corrected; V5: comments and references adde
Notes on the bulk viscosity of holographic gauge theory plasmas

A novel technique is used to compute the bulk viscosity of high temperature
holographic gauge theory plasmas with softly broken conformal symmetry. Working
in a black hole background which corresponds to a non-trivial solution to the
Navier-Stokes equation, and using a Ward identity for the trace of the
stress-energy tensor, it is possible to obtain an analytic expression for the
bulk viscosity. This can be used to verify the high temperature limit of a
conjectured bound on the bulk viscosity for these theories. The bound is
saturated when the conformal symmetry-breaking operator becomes marginal.Comment: 11 page
Boundary Conditions for Interacting Membranes

We investigate supersymmetric boundary conditions in both the Bagger-Lambert
and the ABJM theories of interacting membranes. We find boundary conditions
associated to the fivebrane, the ninebrane and the M-theory wave. For the ABJM
theory we are able to understand the enhancement of supersymmetry to produce
the (4,4) supersymmetry of the self-dual string. We also include supersymmetric
boundary conditions on the gauge fields that cancel the classical gauge anomaly
of the Chern-Simons terms.Comment: 36 pages, latex, v2 minor typos correcte
On the phenomenology of a two-Higgs-doublet model with maximal CP
  symmetry at the LHC, II: radiative effects

The processes proton + antiproton -> gamma + heavy-flavour jet(s) + X and
proton + proton -> gamma + heavy-flavour jet(s) + X are studied in the
framework of a special two-Higgs-doublet model, the MCPM. As distinguishing
feature of this model we find that radiative Higgs-boson production and decay
lead to heavy flavour c jets but no b jets in the above processes. Thus, the
prediction is that b jets should be given by the normal QCD processes whereas
for c jets an excess over the QCD expectation should occur. We present results
both for Tevatron and LHC energies.Comment: 13 pages, 9 figure
Chiral Generations on Intersecting 5-branes in Heterotic String Theory

We show that there exist two 27 and one 27 bar of E6, net one D=4, N=1 chiral
matter supermultiplet as zero modes localized on the intersection of two
5-branes in the E8 x E8 heterotic string theory. The smeared intersecting
5-brane solution is used via the standard embedding to construct a heterotic
background, which provides, after a compactification of some of the transverse
dimensions, a five-dimensional Randall-Sundrum II like brane-world set-up in
heterotic string theory. As a by-product, we present a new proof of anomaly
cancellation between those from the chiral matter and the anomaly inflow onto
the brane without small instanton.Comment: 26 pages, 5 figures; references added, typo correcte
The very-extended trombone

Starting from the very-extended Kac-Moody algebra $E_{11}$, we consider the
algebra $E_{11,D}^{local}$, obtained by adding to the non-negative level
$E_{11}$ generators the $D$-dimensional momentum operator and an infinite set
of additional generators that promote the global $E_{11}$ symmetries to gauge
ones. We determine all the possible trombone deformations of this algebra, that
is the deformations that involve the $D$-dimensional scaling operator. The
Jacobi identities imply that such deformations are uniquely determined by a
single tensor belonging to the same representation of the internal symmetry
group as the vector generators and satisfying additional quadratic constraints.
The non-linear realisation of the deformed algebra gives the field strengths of
the theory which are those of any possible maximal supergravity theory in which
the global scaling symmetry is gauged in any dimension. All the possible
deformed algebras are in one to one correspondence with all such maximal
supergravity theories. The tensor that parametrises the deformation is
identified with the embedding tensor that is used to parametrise all maximal
supergravity theories with gauged scaling symmetry, and the quadratic
constraints that we determine exactly coincide with the field theory results.Comment: 41 pages, section 2 improved, typo corrected in eq. 3.5, version
  accepted for publication on JHE
2D N=(4,4) superspace supergravity and bi-projective superfields

We propose a new superspace formulation for N=(4,4) conformal supergravity in
two dimensions. This is based on a geometry where the structure group of the
curved superspace is chosen to be SO(1,1) x SU(2)_L x SU(2)_R. The off-shell
supergravity multiplet possesses super-Weyl transformations generated by an
unconstrained real scalar superfield. The new supergravity formulation turns
out to be an extension of the minimal multiplet introduced in 1988 by Gates et.
al. and it allows the existence of various off-shell matter supermultiplets.
Covariant twisted-II and twisted-I multiplets respectively describe the field
strength of an Abelian vector multiplet and its prepotential. Moreover, we
introduce covariant bi-projective superfields. These define a large class of
matter multiplets coupled to 2D N=(4,4) conformal supergravity. They are the
analogue of the covariant projective superfields recently introduced for 4D and
5D matter-coupled supergravity but they differ by the fact that bi-projective
superfields are defined with the use of two CP^1 instead of one. We conclude by
giving a manifestly locally supersymmetric and super-Weyl invariant action
principle in bi-projective superspace.Comment: 50+1 pages, LaTeX; V2: 52 pages, typos corrected, comments added,
  version published in JHE
Parton Distributions for Event Generators

In this paper, conventional Global QCD analysis is generalized to produce
parton distributions optimized for use with event generators at the LHC. This
optimization is accomplished by combining the constraints due to existing
hard-scattering experimental data with those from anticipated cross sections
for key representative SM processes at LHC (by the best available theory) as
joint input to the global analyses. The PDFs obtained in these new type of
global analyses using matrix elements calculated in any given order will be
best suited to work with event generators of that order, for predictions at the
LHC. This is most useful for LO event generators at present. Results obtained
from a few candidate PDF sets (labeled as CT09MCS, CT09MC1 and CT09MC2) for LO
event generators produced in this way are compared with those from other
approaches.Comment: 35 pages, 19 figures, and 4 table
Strange Attractors in Dissipative Nambu Mechanics : Classical and
  Quantum Aspects

We extend the framework of Nambu-Hamiltonian Mechanics to include dissipation
in $R^{3}$ phase space. We demonstrate that it accommodates the phase space
dynamics of low dimensional dissipative systems such as the much studied Lorenz
and R\"{o}ssler Strange attractors, as well as the more recent constructions of
Chen and Leipnik-Newton. The rotational, volume preserving part of the flow
preserves in time a family of two intersecting surfaces, the so called {\em
Nambu Hamiltonians}. They foliate the entire phase space and are, in turn,
deformed in time by Dissipation which represents their irrotational part of the
flow. It is given by the gradient of a scalar function and is responsible for
the emergence of the Strange Attractors.
  Based on our recent work on Quantum Nambu Mechanics, we provide an explicit
quantization of the Lorenz attractor through the introduction of
Non-commutative phase space coordinates as Hermitian $ N \times N $ matrices in
$ R^{3}$. They satisfy the commutation relations induced by one of the two
Nambu Hamiltonians, the second one generating a unique time evolution.
Dissipation is incorporated quantum mechanically in a self-consistent way
having the correct classical limit without the introduction of external degrees
of freedom. Due to its volume phase space contraction it violates the quantum
commutation relations. We demonstrate that the Heisenberg-Nambu evolution
equations for the Quantum Lorenz system give rise to an attracting ellipsoid in
the $3 N^{2}$ dimensional phase space.Comment: 35 pages, 4 figures, LaTe
Meson spectra in a gluon condensate background

We study the spectra of light mesons as well as the dissociation of a
quarkonium and monopole-anti monopole bound state in a gluon condensate
background. In order to describe the confining phase we introduce an IR cutoff
in two ways, namely the hard wall and the braneless approaches. We find that
the meson spectra strongly depend on the gluon condensate in the braneless
approach, while they do not in the hard wall model. The latter result appears
to be a more probable feature of QCD.Comment: 16 pages, 5 figures, figures changed, references added, arguments
  improved, published versio