pinecone/core-2020-05-10-deduplication huggingface dataset:
Simplifying one-loop amplitudes in superstring theory

We show that 4-point vector boson one-loop amplitudes, computed in ref.[1] in
the RNS formalism, around vacuum configurations with open unoriented strings,
preserving at least N=1 SUSY in D=4, satisfy the correct supersymmetry Ward
identities, in that they vanish for non MHV configurations (++++) and (-+++).
In the MHV case (--++) we drastically simplify their expressions. We then study
factorisation and the limiting IR and UV behaviour and find some unexpected
results. In particular no massless poles are exposed at generic values of the
modular parameter. Relying on the supersymmetric properties of our bosonic
amplitudes, we extend them to manifestly supersymmetric super-amplitudes and
compare our results with those obtained in the D=4 hybrid formalism, pointing
out difficulties in reconciling the two approaches for contributions from N=1,2
sectors.Comment: 38 pages plus appendice
Resurrecting the minimal renormalizable supersymmetric SU(5) model

It is a well-known fact that the minimal renormalizable supersymmetric SU(5)
model is ruled out assuming superpartner masses of the order of a few TeV.
Giving up this constraint and assuming only SU(5) boundary conditions for the
soft terms, we find that the model is still alive. The viable region of the
parameter space typically features superpartner masses of order $10^2$ to
$10^4$ TeV, with tan beta values between 2 and 5, but lighter spectra with
single states around 10 TeV are also possible. The main constraints come from
proton decay, the Higgs mass, the requirement of the SU(5) spectrum being
reasonably below the Planck scale, and the lifetime of the universe. A generic
feature of the model is metastability of the electroweak vacuum. In the absence
of a suitable dark matter particle in the neutralino sector, a light (order GeV
or smaller) gravitino is a natural candidate.Comment: 53 pages, 13 figure
Interference Effects in Higgs production through Vector Boson Fusion in
  the Standard Model and its Singlet Extension

Interference effects play an important role in Electroweak Physics. They are
responsible for the restoration of unitarity al large energies. When, as is
often the case, higher order corrections are only available for some particular
subamplitude, interferences need to be carefully computed in order to obtain
the best theoretical prediction. In the new proposal to estimate the total
Higgs width from the off shell cross section, the interference between the
Higgs signal and the background is essential. It has been recently pointed out
in gluon fusion that whenever more than one neutral, CP even, scalars are
present in the spectrum large cancellations can occur. We extend these studies
to Vector Boson Scattering, examining interference effects in the Higgs sector
in the Standard Model and its one Higgs Singlet extension
Ward Identities for Scale and Special Conformal Transformations in
  Inflation

We derive the general Ward identities for scale and special conformal
transformations in theories of single field inflation. Our analysis is model
independent and based on symmetry considerations alone. The identities we
obtain are valid to all orders in the slow roll expansion. For special
conformal transformations, the Ward identities include a term which is
non-linear in the fields that arises due to a compensating spatial
reparametrization. Some observational consequences are also discussed.Comment: 42 Pages. v3: Section on checks of the Ward identities added. The
  JHEP accepted versio
The algebra of observables in Gau{\ss}ian normal spacetime coordinates

We discuss the canonical structure of a spacetime version of the radial
gauge, i.e. Gau{\ss}ian normal spacetime coordinates. While it was found for
the spatial version of the radial gauge that a "local" algebra of observables
can be constructed, it turns out that this is not possible for the spacetime
version. The technical reason for this observation is that the new gauge
condition needed to upgrade the spatial to a spacetime radial gauge does not
Poisson-commute with the previous gauge conditions. It follows that the
involved Dirac bracket is inherently non-local in the sense that no complete
set of observables can be found which is constructed locally and at the same
time has local Dirac brackets. A locally constructed observable here is defined
as a finite polynomial of the canonical variables at a given physical point
specified by the Gau{\ss}ian normal spacetime coordinates.Comment: 16 pages; discussion of the cosmological constant added; matches
  published versio
D2-brane Chern-Simons theories: F-maximization = a-maximization

We study a system of N D2-branes probing a generic Calabi-Yau three-fold
singularity in the presence of a non-zero quantized Romans mass n. We argue
that the low-energy effective N = 2 Chern-Simons quiver gauge theory flows to a
superconformal fixed point in the IR, and construct the dual AdS_4 solution in
massive IIA supergravity. We compute the free energy F of the gauge theory on
S^3 using localization. In the large N limit we find F = c(nN)^{1/3}a^{2/3},
where c is a universal constant and a is the a-function of the "parent"
four-dimensional N = 1 theory on N D3-branes probing the same Calabi-Yau
singularity. It follows that maximizing F over the space of admissible
R-symmetries is equivalent to maximizing a for this class of theories.
Moreover, we show that the gauge theory result precisely matches the
holographic free energy of the supergravity solution, and provide a similar
matching of the VEV of a BPS Wilson loop operator.Comment: 19 pages; v2: minor correction
The Heterotic Superpotential and Moduli

We study the four-dimensional effective theory arising from ten-dimensional
heterotic supergravity compactified on manifolds with torsion. In particular,
given the heterotic superpotential appropriately corrected at
$\mathcal{O}(\alpha')$ to account for the Green-Schwarz anomaly cancellation
mechanism, we investigate properties of four-dimensional Minkowski vacua of
this theory. Considering the restrictions arising from F-terms and D-terms we
identify the infinitesimal massless moduli space of the theory. We show that it
agrees with the results that have recently been obtained from a ten-dimensional
perspective where supersymmetric Minkowski solutions including the Bianchi
identity correspond to an integrable holomorphic structure, with infinitesimal
moduli calculated by its first cohomology. As has recently been noted,
interplay of complex structure and bundle deformations through holomorphic and
anomaly constraints can lead to fewer moduli than may have been expected. We
derive a relation between the number of complex structure and bundle moduli
removed from the low energy theory in this way, and give conditions for there
to be no complex structure moduli or bundle moduli remaining in the low energy
theory. The link between Yukawa couplings and obstruction theory is also
briefly discussed.Comment: 35 pages, minor correction
Status and prospects of the nMSSM after LHC Run-1

The new minimal supersymmetric standard model (nMSSM), a variant of the
general next to minimal supersymmetric standard model (NMSSM) without $Z_3$
symmetry, features a naturally light singlino with a mass below 75 GeV. In
light of the new constraints from LHC Run-1 on the Higgs couplings, sparticles
searches and flavour observables, we define the parameter space of the model
which is compatible with both collider and dark matter (DM) properties. Among
the regions compatible with these constraints, implemented through NMSSMTools,
SModelS and MadAnalysis 5, only one with a singlino lightest supersymmetric
particle (LSP) with a mass around 5 GeV can explain all the DM abundance of the
universe, while heavier mixed singlinos can only form one of the DM components.
Typical collider signatures for each region of the parameter space are
investigated. In particular, the decay of the 125 GeV Higgs into light scalars
and/or pseudoscalars and the decay of the heavy Higgs into charginos and
neutralinos, provide distinctive signatures of the model. Moreover, the
sfermion decays usually proceed through heavier neutralinos rather than
directly into the LSP, as the couplings to the singlino are suppressed. We also
show that direct detection searches are complementary to collider ones, and
that a future ton-scale detector could completely probe the region of parameter
space with a LSP mass around 65 GeV.Comment: 33 pages, 9 figures. Version accepted for publication in JHE
A revisit to a compressed supersymmetric spectrum with 125 GeV Higgs

A compressed spectrum was initially proposed as an explanation for the
elusiveness of low-energy supersymmetry (SUSY). Some characteristic signals at
the Large Hadron Collider (LHC), such as mono-jet + \slashed{E}_T, had been
propounded as its trademark signals. However, later investigations suggested
that lower limits on the supersymmetric particle masses would be quite
stringent in spite of compression. Also, most compressed SUSY scenarios studied
so far are only partially compressed. In this backdrop, we make an exhaustive
analysis of the compressed SUSY scenarios for the 13 TeV run of LHC, keeping
the level of compression in the entire spectrum as high as possible. A broad
class of benchmark spectra are thus considered, after ensuring consistency with
the observed Higgs mass as well as the dark matter constraints. The rates of
observable events in the high-energy run are obtained through detailed
simulation, for both the multi-jet +\slashed{E}_T and mono-jet + \slashed{E}_T
final states. Our conclusion is that the former is still more efficient to
reveal a compressed SUSY spectrum first, while the latter can serve as a useful
confirmatory channel.Comment: 31 pages, 5 figures, 8 tables. Typos corrected. Added References.
  Accepted for publication in JHE
Probing non-perturbative effects in M-theory on orientifolds

Using holography, we study non-perturbative effects in M-theory on
orientifolds from the analysis of the S^3 partition functions of dual field
theories. We consider the S^3 partition functions of N=4 Yang-Mills theory with
O(n) gauge symmetry coupled to one (anti)symmetric and N_f fundamental
hypermultiplets from the Fermi gas approach. In addition to the worldsheet
instanton and membrane instanton corrections to the grand potential, which are
also present in the U(n) Yang-Mills case, we find that there exist "half
instanton" corrections coming from the effect of orientifold plane.Comment: 31 pages, 7 figure
Massive quiver matrix models for massive charged particles in AdS

We present a new class of ${\cal N}=4$ supersymmetric quiver matrix models
and argue that it describes the stringy low-energy dynamics of internally
wrapped D-branes in four-dimensional anti-de Sitter (AdS) flux
compactifications. The Lagrangians of these models differ from previously
studied quiver matrix models by the presence of mass terms, associated with the
AdS gravitational potential, as well as additional terms dictated by
supersymmetry. These give rise to dynamical phenomena typically associated with
the presence of fluxes, such as fuzzy membranes, internal cyclotron motion and
the appearance of confining strings. We also show how these models can be
obtained by dimensional reduction of four-dimensional supersymmetric quiver
gauge theories on a three-sphere.Comment: 43 pages + appendices, 4 figure
The Higgs transverse momentum distribution in gluon fusion as a
  multiscale problem

We consider Higgs production in gluon fusion and in particular the prediction
of the Higgs transverse momentum distribution. We discuss the ambiguities
affecting the matching procedure between fixed order matrix elements and the
resummation to all orders of the terms enhanced by $\log(p_T^H/m_H)$ factors.
Following a recent proposal (Grazzini et al., hep-ph/1306.4581), we argue that
the gluon fusion process, computed considering two active quark flavors, is a
multiscale problem from the point of view of the resummation of the collinear
singular terms. We perform an analysis at parton level of the collinear
behavior of the $\mathcal{O}(\alpha_s)$ real emission amplitudes; relying on
the collinear singularities structure of the latter, we derive an upper limit
to the range of transverse momenta where the collinear approximation is valid.
This scale is then used as the value of the resummation scale in the analytic
resummation framework or as the value of the $h$ parameter in the POWHEG-BOX
code. A variation of this scale can be used to generate an uncertainty band
associated to the matching procedure. Finally, we provide a phenomenological
analysis in the Standard Model, in the Two Higgs Doublet Model and in the
Minimal Supersymmetric Standard Model. In the two latter cases, we provide an
ansatz for the central value of the matching parameters not only for a Standard
Model-like Higgs boson, but also for heavy scalars and in scenarios where the
bottom quark may play the dominant role.Comment: 33 pages, 13 figures; v2 matches version published in JHE
Type IIB on $S^{3}\times S^{3}$ through $Q$ & $P$ fluxes

We study a class of orientifold compactifications of type IIB supergravity
with fluxes down to 4D in connection with truncations of half-maximal gauged
supergravities yielding isotropic STU-models with minimal supersymmetry. In
this context, we make use of a group-theoretical approach in order to derive
flux-induced superpotentials for different IIB backgrounds. We first review the
toroidal case yielding GKP-like superpotentials characterised by their
\emph{no-scale} behaviour. We then turn to $S^{3} \times S^{3}$ and $S^{3}
\times \mathbb{T}^{3}$, which, surprisingly, give rise to effective
descriptions of non-geometric $Q$- and $P$-fluxes through globally geometric
non-toroidal compactifications. As a consequence, such constructions break the
no-scale symmetry without invoking any non-perturbative effects.Comment: 19 page
Two intervals R\'enyi entanglement entropy of compact free boson on
  torus

We compute the $N=2$ R\'enyi entanglement entropy of two intervals at equal
time in a circle, for the theory of a 2d compact complex free scalar at finite
temperature. This is carried out by performing functional integral on a genus 3
ramified cover of the torus, wherein the quantum part of the integral is
captured by the four point function of twist fields on the worldsheet torus,
and the classical piece is given by summing over winding modes of the genus 3
surface onto the target space torus. The final result is given in terms of a
product of theta function and certain multi-dimensional theta function. We
demonstrate the T-duality invariance of the result. We also study its low
temperature limit. In the case in which the size of the intervals and of their
separation are much smaller than the whole system, our result is in exact
agreement with the known result for two intervals on an infinite system at zero
temperature \cite{eeoftwo}. In the case in which the separation between the two
intervals is much smaller than the interval length, the leading thermal
corrections take the same universal form as proposed in
\cite{Cardy:2014jwa,Chen:2015cna} for R\'enyi entanglement entropy of a single
interval.Comment: 29 pages, 7 figure
Semichiral Fields on S^2 and Generalized K\"ahler Geometry

We study a class of two-dimensional N=(2,2) supersymmetric gauge theories,
given by semichiral multiplets coupled to the standard vector multiplet. In the
UV, these theories are traditional gauge theories deformed by a gauged
Wess-Zumino term. In the IR, they give rise to nonlinear sigma models on
noncompact generalized K\"ahler manifolds, which contain a three-form flux H
and whose metric is not K\"ahler. We place these theories on S^2 and compute
their partition function exactly with localization techniques. We find that the
contribution of instantons to the partition function that we define is
insensitive to the deformation, and discuss our results from the point of view
of the generalized K\"ahler target space.Comment: 2+24+17 pages; References updated and minor modifications in v2
  (published version
Tracing the origin of azimuthal gluon correlations in the color glass
  condensate

We examine the origins of azimuthal correlations observed in high energy
proton-nucleus collisions by considering the simple example of the scattering
of uncorrelated partons off color fields in a large nucleus. We demonstrate how
the physics of fluctuating color fields in the color glass condensate (CGC)
effective theory generates these azimuthal multiparticle correlations and
compute the corresponding Fourier coefficients v_n within different CGC
approximation schemes. We discuss in detail the qualitative and quantitative
differences between the different schemes. We will show how a recently
introduced color field domain model that captures key features of the observed
azimuthal correlations can be understood in the CGC effective theory as a model
of non-Gaussian correlations in the target nucleus.Comment: 15 pages, 6 figures, RevTeX. V2: small clarifications and added
  references. To be published in JHE
Mirror Cosmological Relaxation of the Electroweak Scale

The cosmological relaxation mechanism proposed in [1] allows for a
dynamically generated large separation between the weak scale and a theory
cutoff, using a sharp change of theory behaviour upon crossing the limit
between unbroken and broken symmetry phases. In this note we present a
variation of this scenario, in which stabilization of the electroweak scale in
the right place is ensured by the $Z_2$ symmetry exchanging the Standard Model
(SM) with its mirror copy. We sketch the possible ways to produce viable
thermal evolution of the Universe and discuss experimental accessibility of the
new physics effects. We show that in this scenario the mirror SM can either
have sizeable couplings with the ordinary one, or, conversely, can interact
with it with a negligible strength. The overall cutoff allowed by such a
construction can reach $10^9$ GeV.Comment: 9 pages, 2 figures; version published in JHE
4d Quantum Geometry from 3d Supersymmetric Gauge Theory and Holomorphic
  Block

A class of 3d $\mathcal{N}=2$ supersymmetric gauge theories are constructed
and shown to encode the simplicial geometries in 4-dimensions. The gauge
theories are defined by applying the Dimofte-Gaiotto-Gukov construction in
3d/3d correspondence to certain graph complement 3-manifolds. Given a gauge
theory in this class, the massive supersymmetric vacua of the theory contain
the classical geometries on a 4d simplicial complex. The corresponding 4d
simplicial geometries are locally constant curvature (either dS or AdS), in the
sense that they are made by gluing geometrical 4-simplices of the same constant
curvature. When the simplicial complex is sufficiently refined, the simplicial
geometries can approximate all possible smooth geometries on 4-manifold. At the
quantum level, we propose that a class of holomorphic blocks defined in
arXiv:1211.1986 from the 3d $\mathcal{N}=2$ gauge theories are wave functions
of quantum 4d simplicial geometries. In the semiclassical limit, the asymptotic
behavior of holomorphic block reproduces the classical action of 4d
Einstein-Hilbert gravity in the simplicial context.Comment: 35+13 pages, 9 figures, presentation improved, reference adde
A New Scheme for NMSSM in Gauge Mediation

We propose a new framework for the next-to-minimal supersymmetric standard
model (NMSSM) in gauge mediation, where in general the correct electroweak
symmetry breaking (EWSB) is difficult to be explained. The difficulty is caused
by the absence of a soft supersymmetry (SUSY) breaking mass for the NMSSM
singlet S. In our framework, S is a meson in a hidden QCD. This QCD is
responsible for the dynamical SUSY breaking, forming S, and the soft SUSY
breaking mass for S, which is a key to explain the correct EWSB: all the
ingredients for successful phenomenology originate from the common dynamics.
From the requirement of the successful EWSB, the low-scale SUSY breaking around
100-1000 TeV is predicted. This is favored to avoid the large fine-tuning.Comment: 10 pages, 2 figures. References and appendix have been adde
Quasi-localized wavefunctions on magnetized tori and tiny neutrino
  Yukawa couplings

This paper shows that, a quasi-localization of wavefunctions in toroidal
compactifications with magnetic fluxes can lead to a strong suppression for
relevant Yukawa couplings, and it is applicable to obtain tiny neutrino masses.
Although it is known that magnetic fluxes lead to a Gaussian profile of
zero-modes on a torus and that can yield a suppressed coupling in
higher-dimensional supersymmetric Yang-Mills (SYM) theories, the largest
(diagonal) entry of Yukawa matrices is always of $\mathcal O(1)$. In this
paper, we propose a way to induce an absolutely tiny global factor of Yukawa
matrices. In two SYM theories defined in different dimensional spacetime, their
bifundamental representations must be localized as a point in some directions.
Overlaps of such point-like localized wavefunctions and Gaussian zero-modes
give a global factor of Yukawa matrices, and it can be a strong suppression
factor or a usual $\mathcal O(1)$ factor, corresponding to their distance. Our
numerical analysis shows that it is possible to obtain a suppression strong
enough to realize the tiny neutrino masses without a hard fine-tuning.
Furthermore, we propose a concrete model of the tiny neutrino Yukawa couplings
in a magnetized SYM system.Comment: 10 pages, 2 figure
Asymptotic safety and the cosmological constant

We study the non-perturbative renormalisation of quantum gravity in four
dimensions. Taking care to disentangle physical degrees of freedom, we observe
the topological nature of conformal fluctuations arising from the functional
measure. The resulting beta functions possess an asymptotically safe fixed
point with a global phase structure leading to classical general relativity for
positive, negative or vanishing cosmological constant. If only the conformal
fluctuations are quantised we find an asymptotically safe fixed point
predicting a vanishing cosmological constant on all scales. At this fixed point
we reproduce the critical exponent, $\nu = 1/3$, found in numerical lattice
studies by Hamber. This suggests the fixed point may be physical while solving
the cosmological constant problem.Comment: 34 pages, 9 figure