pinecone/core-2020-05-10-deduplication huggingface dataset:
Power corrections to TMD factorization for Z-boson production

A typical factorization formula for production of a particle with a small
transverse momentum in hadron-hadron collisions is given by a convolution of
two leading-twist TMD parton densities with cross section of production of the
final particle by the two partons. For practical applications at a given
transverse momentum, though, one should estimate at what momenta the power
corrections to TMD factorization formula due to higher-twist operators become
essential. In this paper we calculate the first power corrections to TMD
factorization formula for Z-boson production and Drell-Yan process in
high-energy hadron-hadron collisions. At the leading order in $N_c$ power
corrections are expressed in terms of leading-twist TMDs by QCD equations of
motion.Comment: 44 pages, 3 figures. v2: text changes. arXiv admin note: text overlap
  with arXiv:1706.0141
A new insight into the phase transition in the early Universe with two
  Higgs doublets

We study the electroweak phase transition in the alignment limit of the
CP-conserving two-Higgs-doublet model (2HDM) of Type I and Type II. The
effective potential is evaluated at one-loop, where the thermal potential
includes Daisy corrections and is reliably approximated by means of a sum of
Bessel functions. Both 1-stage and 2-stage electroweak phase transitions are
shown to be possible, depending on the pattern of the vacuum development as the
Universe cools down. For the 1-stage case focused on in this paper, we analyze
the properties of phase transition and discover that the field value of the
electroweak symmetry breaking vacuum at the critical temperature at which the
first order phase transition occurs is largely correlated with the vacuum depth
of the 1-loop potential at zero temperature.
  We demonstrate that a strong first order electroweak phase transition
(SFOEWPT) in the 2HDM is achievable and establish benchmark scenarios leading
to different testable signatures at colliders. In addition, we verify that an
enhanced triple Higgs coupling (including loop corrections) is a typical
feature of the SFOPT driven by the additional doublet. As a result, SFOEWPT
might be able to be probed at the LHC and future lepton colliders through Higgs
pair production.Comment: 43 pages, 18 figures, minor revision and match to the published
  versio
Constraints on dark matter annihilation to fermions and a photon

We consider Majorana dark matter annihilation to fermion - anti-fermion pair
and a photon in the effective field theory paradigm, by introducing dimension 6
and dimension 8 operators in the Lagrangian. For a given value of the cut-off
scale, the latter dominates the annihilation process for heavier dark matter
masses. We find a cancellation in the dark matter annihilation to a fermion -
anti-fermion pair when considering the interference of the dimension 6 and the
dimension 8 operators. Constraints on the effective scale cut-off is derived
while considering indirect detection experiments and the relic density
requirements and they are compared to the bound coming from collider
experiments.Comment: v2: 21 pages, 5 figures. Some details about the calculation are moved
  to the Appendix. Conclusions unchanged. Accepted in JHE
$T$-duality on nilmanifolds

We study generalized complex structures and $T$-duality (in the sense of
Bouwknegt, Evslin, Hannabuss and Mathai) on Lie algebras and construct the
corresponding Cavalcanti and Gualtieri map. Such a construction is called
"Infinitesimal $T$-duality". As an application we deal with the problem of
finding symplectic structures on 2-step nilpotent Lie algebras. We also give a
criteria for the intregability of the infinitesimal $T$-duality of Lie algebras
to topological $T$-duality of the associated nilmanifolds.Comment: V2: minor corrections and a reference adde
Entropy functional and the holographic attractor mechanism

We provide a field theory interpretation of the attractor mechanism for
asymptotically AdS$_4$ dyonic BPS black holes whose entropy is captured by the
supersymmetric index of the twisted ABJM theory at Chern-Simons level one. We
holographically compute the renormalized off-shell quantum effective action in
the twisted ABJM theory as a function of the supersymmetric fermion masses and
the arbitrary vacuum expectation values of the dimension one scalar bilinear
operators and show that extremizing the effective action with respect to the
vacuum expectation values of the dimension one scalar bilinears is equivalent
to the attractor mechanism in the bulk. In fact, we show that the holographic
quantum effective action coincides with the entropy functional and, therefore,
its value at the extremum reproduces the black hole entropy.Comment: 34 pages; v2 minor corrections, references added; v3 acknowledgments
  adde
Monopole Operators in $U(1)$ Chern-Simons-Matter Theories

We study monopole operators at the infrared fixed points of $U(1)$
Chern-Simons-matter theories (QED$_3$, scalar QED$_3$, ${\cal N} =1$ SQED$_3$,
and ${\cal N} = 2$ SQED$_3$) with $N$ matter flavors and Chern-Simons level
$k$. We work in the limit where both $N$ and $k$ are taken to be large with
$\kappa = k/N$ fixed. In this limit, we extract information about the low-lying
spectrum of monopole operators from evaluating the $S^2 \times S^1$ partition
function in the sector where the $S^2$ is threaded by magnetic flux $4 \pi q$.
At leading order in $N$, we find a large number of monopole operators with
equal scaling dimensions and a wide range of spins and flavor symmetry
irreducible representations. In two simple cases, we deduce how the degeneracy
in the scaling dimensions is broken by the $1/N$ corrections. For QED$_3$ at
$\kappa=0$, we provide conformal bootstrap evidence that this near-degeneracy
is in fact maintained to small values of $N$. For ${\cal N} = 2$ SQED$_3$, we
find that the lowest dimension monopole operator is generically non-BPS.Comment: 52 pages plus appendices, 9 figures, v2: minor correction
All-Helicity Symbol Alphabets from Unwound Amplituhedra

We review an algorithm for determining the branch points of general
amplitudes in planar $\mathcal{N}=4$ super-Yang-Mills theory from amplituhedra.
We demonstrate how to use the recent reformulation of amplituhedra in terms of
`sign flips' in order to streamline the application of this algorithm to
amplitudes of any helicity. In this way we recover the known branch points of
all one-loop amplitudes, and we find an `emergent positivity' on boundaries of
amplituhedra.Comment: 38 pages, 5 figures, 1 big table; v2: minor corrections and
  improvement
Update of Global Two-Higgs-Doublet Model Fits

We perform global fits of Two-Higgs-Doublet models with a softly broken
$\mathbb{Z}_2$ symmetry to recent results from the LHC detectors CMS and ATLAS,
that is signal strengths and direct search limits obtained at $\sqrt{s} = 8$
TeV and $\sqrt{s}=13$ TeV. We combine all available ATLAS and CMS constraints
with the other relevant theoretical and experimental bounds and present the
latest limits on the model parameters. We obtain that deviations from the
so-called alignment limit $\beta-\alpha=\pi/2$ cannot be larger than $0.03$ in
type I and have to be smaller than $0.02$ in the remaining three types. For the
latter, we also observe lower limits on the heavy Higgs masses in the global
fit. The splittings between these masses cannot exceed $200$ GeV in the types I
and X and $130$ GeV in the types II and Y. Finally, we find that the decay
widths of the heavy Higgs particles cannot be larger than $7\%$ of their masses
if they are lighter than $1.5$ TeV.Comment: 40 pages, 13 figures. Updated experimental inputs; references adde
Bootstrapping pentagon functions

In PRL 116 (2016) no.6, 062001, the space of planar pentagon functions that
describes all two-loop on-shell five-particle scattering amplitudes was
introduced. In the present paper we present a natural extension of this space
to non-planar pentagon functions. This provides the basis for our pentagon
bootstrap program. We classify the relevant functions up to weight four, which
is relevant for two-loop scattering amplitudes. We constrain the first entry of
the symbol of the functions using information on branch cuts. Drawing on an
analogy from the planar case, we introduce a conjectural second-entry condition
on the symbol. We then show that the information on the function space, when
complemented with some additional insights, can be used to efficiently
bootstrap individual Feynman integrals. The extra information is read off of
Mellin-Barnes representations of the integrals, either by evaluating simple
asymptotic limits, or by taking discontinuities in the kinematic variables. We
use this method to evaluate the symbols of two non-trivial non-planar
five-particle integrals, up to and including the finite part.Comment: 24 pages + 3 pages of appendices, 2 figures, 3 tables, 4 ancillary
  files, added references and corrected typos, published versio
The analytic bootstrap equations of non-diagonal two-dimensional CFT

Under the assumption that degenerate fields exist, diagonal CFTs such as
Liouville theory can be solved analytically using the conformal bootstrap
method. Here we generalize this approach to non-diagonal CFTs, i.e. CFTs whose
primary fields have nonzero conformal spins. Assuming generic values of the
central charge, we find that the non-diagonal sector of the spectrum must be
parametrized by two integer numbers. We then derive and solve the equations
that determine how three- and four-point structure constants depend on these
numbers. In order to test these results, we numerically check crossing symmetry
of a class of four-point functions in a non-rational limit of D-series minimal
models. The simplest four-point functions in this class were previously argued
to describe connectivities of clusters in the critical Potts model.Comment: 27 pages. Python code available at
  https://github.com/ribault/bootstrap-2d-Python V2: Some clarifications
  included. Added plot of spectru
Holographic Quantum Entanglement Negativity

We advance a holographic conjecture for the entanglement negativity of
bipartite quantum states in $(1+1)$-dimensional conformal field theories in the
$AdS_3/CFT_2$ framework. Our conjecture exactly reproduces the replica
technique results in the large central charge limit, for both the pure state
described by the $CFT_{1+1}$ vacuum dual to bulk the pure $AdS_3$ geometry and
the finite temperature mixed state dual to a Euclidean BTZ black hole
respectively. The holographic entanglement negativity characterizes the
distillable entanglement and reduces to a specific sum of holographic mutual
informations. We briefly allude to a possible higher dimensional generalization
of our conjecture in a generic $AdS_{d+1}/CFT_{d}$ scenario.Comment: 16 pages and 1 figure, published in JHEP. This is a shorter version
  of arXiv:1602.01147 detailing the $AdS_3/CFT_2$ exampl
SU(2$|$1) supersymmetric mechanics on curved spaces

We present SU$(2|1)$ supersymmetric mechanics on $n$-dimensional Riemannian
manifolds within the Hamiltonian approach. The structure functions including
prepotentials entering the supercharges and the Hamiltonian obey extended
curved WDVV equations specified by the manifold's metric and curvature tensor.
We consider the most general $u(2)$-valued prepotential, which contains both
types (with and without spin variables), previously considered only separately.
For the case of real K\"{a}hler manifolds we construct all possible
interactions. For isotropic ($so(n)$-invariant) spaces we provide admissible
prepotentials for any solution to the curved WDVV equations. All known
one-dimensional SU$(2|1)$ supersymmetric models are reproduced.Comment: 1+6 page
Gravitation waves from QCD and electroweak phase transitions

We investigate the gravitation waves produced from QCD and electroweak phase
transitions in the early universe by using a 5-dimension holographic QCD model
and a holographic technicolor model. The dynamical holographic QCD model is to
describe the pure gluon system, where a first order confinement-deconfinement
phase transition can happen at the critical temperature around 250 ${\rm MeV}$.
The minimal holographic technicolor model is introduced to model the strong
dynamics of electroweak, it can give a first order electroweak phase transition
at the critical temperature around 100-360 ${\rm GeV}$. We find that for both
GW signals produced from QCD and EW phase transitions, in the peak frequency
region, the dominant contribution comes from the sound waves, while away from
the peak frequency region the contribution from the bubble collision is
dominant. The peak frequency of gravitation wave determined by the QCD phase
transition is located around $10^{-7}$ Hz which is within the detectability of
FAST and SKA, and the peak frequency of gravitational wave predicted by EW
phase transition is located at $0.002-0.007$ Hz, which might be detectable by
BBO, DECIGO, LISA and ELISA
ABJM quantum spectral curve and Mellin transform

The present techniques for the perturbative solution of quantum spectral
curve problems in N=4 SYM and ABJM models are limited to the situation when the
states quantum numbers are given explicitly as some integer numbers. These
techniques are sufficient to recover full analytical structure of the conserved
charges provided that we know a finite basis of functions in terms of which
they could be written explicitly. It is known that in the case of N=4 SYM both
the contributions of asymptotic Bethe ansatz and wrapping or finite size
corrections are expressed in terms of the harmonic sums. However, in the case
of ABJM model only the asymptotic contribution can still be written in the
harmonic sums basis, while the wrapping corrections part can not. Moreover, the
generalization of harmonic sums basis for this problem is not known. In this
paper we present a Mellin space technique for the solution of multiloop Baxter
equations, which is the main ingredient for the solution of corresponding
quantum spectral problems, and provide explicit results for the solution of
ABJM quantum spectral curve in the case of twist 1 operators in sl(2) sector
for arbitrary spin values up to four loop order with explicit account for
wrapping corrections. It is shown that the result for anomalous dimensions
could be expressed in terms of harmonic sums decorated by the fourth root of
unity factors, so that maximum transcendentality principle holds.Comment: 33 pages, typos corrected and clarifications adde
Effective field theory approach to trans-TeV supersymmetry: covariant
  matching, Yukawa unification and Higgs couplings

Dismissing traditional naturalness concerns while embracing the Higgs boson
mass measurement and unification motivates careful analysis of trans-TeV
supersymmetric theories. We take an effective field theory (EFT) approach,
matching the Minimal Supersymmetric Standard Model (MSSM) onto the Standard
Model (SM) EFT by integrating out heavy superpartners, and evolving MSSM and
SMEFT parameters according to renormalization group equations in each regime.
Our matching calculation is facilitated by the recent covariant diagrams
formulation of functional matching techniques, with the full one-loop SUSY
threshold corrections encoded in just 30 diagrams. Requiring consistent
matching onto the SMEFT with its parameters (those in the Higgs potential in
particular) measured at low energies, and in addition requiring unification of
bottom and tau Yukawa couplings at the scale of gauge coupling unification, we
detail the solution space of superpartner masses from the TeV scale to well
above. We also provide detailed views of parameter space where Higgs coupling
measurements have probing capability at future colliders beyond the reach of
direct superpartner searches at the LHC.Comment: 59 pages, 8 figures; v2: references and minor clarifications adde
A 6D nonabelian $(1,0)$ Theory

We construct a 6D nonabelian ${\cal N}=(1,0)$ theory by coupling an ${\cal
N}=(1,0)$ tensor multiplet to an ${\cal N}=(1, 0)$ hypermultiplet. While the
${\cal N}=(1, 0)$ tensor multiplet is in the adjoint representation of the
gauge group, the hypermultiplet can be in the fundamental representation or any
other representation. If the hypermultiplet is also in the adjoint
representation of the gauge group, the supersymmetry is enhanced to ${\cal
N}=(2, 0)$, and the theory is identical to the $(2,0)$ theory of Lambert and
Papageorgakis (LP). Upon dimension reduction, the $(1,0)$ theory can be reduced
to a general ${\cal N}=1$ supersymmetric Yang-Mills theory in 5D. We discuss
briefly the possible applications of the theories to multi M5-branes.Comment: 36 pages. Accepted for publication in JHEP. Appendix C added, and
  references adde
A $d$-Dimensional Stress Tensor for Mink$_{d+2}$ Gravity

We consider the tree-level scattering of massless particles in
$(d+2)$-dimensional asymptotically flat spacetimes. The $\mathcal{S}$-matrix
elements are recast as correlation functions of local operators living on a
space-like cut $\mathcal{M}_d$ of the null momentum cone. The Lorentz group
$SO(d+1,1)$ is nonlinearly realized as the Euclidean conformal group on
$\mathcal{M}_d$. Operators of non-trivial spin arise from massless particles
transforming in non-trivial representations of the little group $SO(d)$, and
distinguished operators arise from the soft-insertions of gauge bosons and
gravitons. The leading soft-photon operator is the shadow transform of a
conserved spin-one primary operator $J_a$, and the subleading soft-graviton
operator is the shadow transform of a conserved spin-two symmetric traceless
primary operator $T_{ab}$. The universal form of the soft-limits ensures that
$J_a$ and $T_{ab}$ obey the Ward identities expected of a conserved current and
energy momentum tensor in a Euclidean CFT$_d$, respectively.Comment: 19 pages. v2: Updated acknowledgements and fixed typo
Pre-ADS Superpotential from Confined Monopoles

According to the standard lore only single monopoles contribute to the
superpotential on the Coulomb branch of 3D ${\mathcal N}=2$ SUSY gauge
theories. However we argue that multi-monopole configurations can also generate
superpotential terms in the presence of squark VEVs on the mixed Higgs-Coulomb
branch. The new ingredient is the confinement of monopoles via Nielsen-Olesen
flux tubes. Such confined multi-monopoles will yield a pre-ADS superpotential
which depends both on the local Coulomb moduli and matter superfields but has
no fractional powers. Once the lifted moduli are integrated out the familiar
ADS superpotential is obtained. Our results demonstrate the important role
multi-monopoles can play in generating non-perturbative effects and also sheds
light on the still somewhat mysterious dynamical origin of the general 4D ADS
superpotential.Comment: 26 pages, 2 figure
Internal Supersymmetry and Small-field Goldstini

The dynamics of the Goldstino mode of spontaneously broken supersymmetry is
universal, being fully determined by the non-linearly realized symmetry. We
investigate the small-field limit of this theory. This model non-linearly
realizes an alternative supersymmetry algebra with vanishing anti-commutators
between the fermionic generators, much like an internal supersymmetry. This
Goldstino theory is akin to the Galilean scalar field theory that arises as the
small-field limit of Dirac-Born-Infeld theory and non-linearly realizes the
Galilean symmetry. Indeed, the small-field Goldstino is the partner of a
complex Galilean scalar field under conventional supersymmetry. We close with
the generalization to extended internal supersymmetry and a discussion of its
higher-dimensional origin.Comment: 12 pages, v2: references added, typos corrected, discussion about a
  fermionic invariant improve
Dissipative hydrodynamics with higher-form symmetry.

A theory of parity-invariant dissipative fluids with q-form symmetry is formulated to first order in a derivative expansion. The fluid is anisotropic with symmetry SO(D − 1 − q) × SO(q) and carries dissolved q-dimensional charged objects that couple to a (q + 1)-form background gauge field. The case q = 1 for which the fluid carries string charge is related to magnetohydrodynamics in D = 4 spacetime dimensions. We identify q+7 parity-even independent transport coefficients at first order in derivatives for q > 1. In particular, compared to the q = 1 case under the assumption of parity and charge conjugation invariance, fluids with q > 1 are characterised by q extra transport coefficients with the physical interpretation of shear viscosity in the SO(q) sector and current resistivities. We discuss certain issues related to the existence of a hydrostatic sector for fluids with higher-form symmetry for any q ≥ 1. We extend these results in order to include an interface separating different fluid phases and study the dispersion relation of capillary waves finding clear signatures of anisotropy. The formalism developed here can be easily adapted to study hydrodynamics with multiple higher-form symmetries
The supersymmetric affine Yangian

The affine Yangian of $\mathfrak{gl}_1$ is known to be isomorphic to ${\cal
W}_{1+\infty}$, the $W$-algebra that characterizes the bosonic higher spin --
CFT duality. In this paper we propose defining relations of the Yangian that
are relevant for the ${\cal N}=2$ superconformal version of ${\cal
W}_{1+\infty}$. Our construction is based on the observation that the ${\cal
N}=2$ superconformal ${\cal W}_{1+\infty}$ algebra contains two commuting
bosonic ${\cal W}_{1+\infty}$ algebras, and that the additional generators
transform in bi-minimal representations with respect to these two algebras. The
corresponding affine Yangian can therefore be built up from two affine Yangians
of $\mathfrak{gl}_1$ by adding in generators that transform appropriately.Comment: 35 pages, 5 figure
Chaos and random matrices in supersymmetric SYK

We use random matrix theory to explore late-time chaos in supersymmetric
quantum mechanical systems. Motivated by the recent study of supersymmetric SYK
models and their random matrix classification, we consider the Wishart-Laguerre
unitary ensemble and compute the spectral form factors and frame potentials to
quantify chaos and randomness. Compared to the Gaussian ensembles, we observe
the absence of a dip regime in the form factor and a slower approach to
Haar-random dynamics. We find agreement between our random matrix analysis and
predictions from the supersymmetric SYK model, and discuss the implications for
supersymmetric chaotic systems.Comment: 27 pages, 7 figures; v2: typos fixed, references added. Published
  versio
N3LO corrections to jet production in deep inelastic scattering using the Projection-to-Born method.

Computations of higher-order QCD corrections for processes with exclusive final states require a subtraction method for real-radiation contributions. We present the first-ever generalisation of a subtraction method for third-order (N3LO) QCD corrections. The Projection-to-Born method is used to combine inclusive N3LO coefficient functions with an exclusive second-order (NNLO) calculation for a final state with an extra jet. The input requirements, advantages, and potential applications of the method are discussed, and validations at lower orders are performed. As a test case, we compute the N3LO corrections to kinematical distributions and production rates for single-jet production in deep inelastic scattering in the laboratory frame, and compare them with data from the ZEUS experiment at HERA. The corrections are small in the central rapidity region, where they stabilize the predictions to sub per-cent level. The corrections increase substantially towards forward rapidity where large logarithmic effects are expected, thereby yielding an improved description of the data in this region