131 research outputs found
An Integrand Reconstruction Method for Three-Loop Amplitudes
We consider the maximal cut of a three-loop four point function with massless
kinematics. By applying Groebner bases and primary decomposition we develop a
method which extracts all ten propagator master integral coefficients for an
arbitrary triple-box configuration via generalized unitarity cuts. As an
example we present analytic results for the three loop triple-box contribution
to gluon-gluon scattering in Yang-Mills with adjoint fermions and scalars in
terms of three master integrals.Comment: 15 pages, 1 figur
On Loops in Inflation II: IR Effects in Single Clock Inflation
In single clock models of inflation the coupling between modes of very
different scales does not have any significant dynamical effect during
inflation. It leads to interesting projection effects. Larger and smaller modes
change the relation between the scale a mode of interest will appear in the
post-inflationary universe and will also change the time of horizon crossing of
that mode. We argue that there are no infrared projection effects in physical
questions, that there are no effects from modes of longer wavelength than the
one of interest. These potential effects cancel when computing fluctuations as
a function of physically measurable scales. Modes on scales smaller than the
one of interest change the mapping between horizon crossing time and scale. The
correction to the mapping computed in the absence of fluctuations is enhanced
by a factor N_e, the number of e-folds of inflation between horizon crossing
and reheating. The new mapping is stochastic in nature but its variance is not
enhanced by N_e.Comment: 13 pages, 1 figure; v2: JHEP published version, added minor comments
and reference
Graviton emission in Einstein-Hilbert gravity
The five-point amplitude for the scattering of two distinct scalars with the
emission of one graviton in the final state is calculated in exact kinematics
for Einstein-Hilbert gravity. The result, which satisfies the Steinmann
relations, is expressed in Sudakov variables, finding that it corresponds to
the sum of two gauge invariant contributions written in terms of a new two
scalar - two graviton effective vertex. A similar calculation is carried out in
Quantum Chromodynamics (QCD) for the scattering of two distinct quarks with one
extra gluon in the final state. The effective vertices which appear in both
cases are then evaluated in the multi-Regge limit reproducing the well-known
result obtained by Lipatov where the Einstein-Hilbert graviton emission vertex
can be written as the product of two QCD gluon emission vertices, up to
corrections to preserve the Steinmann relations.Comment: 28 pages, LaTeX, feynmf. v2: typos corrected, reference added. Final
version to appear in Journal of High Energy Physic
One-loop SYM-supergravity relation for five-point amplitudes
We derive a linear relation between the one-loop five-point amplitude of N=8
supergravity and the one-loop five-point subleading-color amplitudes of N=4
supersymmetric Yang-Mills theory.Comment: 17 pages, 2 figures; v2: very minor correction
On duality symmetry in perturbative quantum theory
Non-compact symmetries of extended 4d supergravities involve duality
rotations of vectors and thus are not manifest off-shell invariances in
standard "second-order" formulation. To study how such symmetries are realised
in the quantum theory we consider examples in 2 dimensions where vector-vector
duality is replaced by scalar-scalar one. Using a "doubled" formulation, where
fields and their momenta are treated on an equal footing and the duality
becomes a manifest symmetry of the action (at the expense of Lorentz symmetry),
we argue that the corresponding on-shell quantum effective action or S-matrix
are duality symmetric as well as Lorentz invariant. The simplest case of
discrete Z_2 duality corresponds to a symmetry of the S-matrix under flipping
the sign of the negative-chirality scalars in 2 dimensions or phase rotations
of chiral (definite-helicity) parts of vectors in 4 dimensions. We also briefly
discuss some 4d models and comment on implications of our analysis for extended
supergravities.Comment: 21 pages, Latex v2: comments and references added v3: references and
minor comments adde
Moduli backreaction and supersymmetry breaking in string-inspired inflation models
We emphasize the importance of effects from heavy fields on supergravity
models of inflation. We study, in particular, the backreaction of stabilizer
fields and geometric moduli in the presence of supersymmetry breaking. Many
effects do not decouple even if those fields are much heavier than the inflaton
field. We apply our results to successful models of Starobinsky-like inflation
and natural inflation. In most scenarios producing a plateau potential it
proves difficult to retain the flatness of the potential after backreactions
are taken into account. Some of them are incompatible with non-perturbative
moduli stabilization. In natural inflation there exist a number of models which
are not constrained by backreactions at all. In those cases the correction
terms from heavy fields have the same inflaton-dependence as the uncorrected
potential, so that inflation may be possible even for very large gravitino
masses.Comment: 29 pages, 1 figure, comments added, subsection 2.3 added, published
versio
Pions as gluons in higher dimensions
We derive the nonlinear sigma model as a peculiar dimensional reduction of
Yang-Mills theory. In this framework, pions are reformulated as
higher-dimensional gluons arranged in a kinematic configuration that only
probes cubic interactions. This procedure yields a purely cubic action for the
nonlinear sigma model which exhibits a symmetry enforcing color-kinematics
duality. Remarkably, the associated kinematic algebra originates directly from
the Poincare algebra in higher dimensions. Applying the same construction to
gravity yields a new quartic action for Born-Infeld theory and, applied once
more, a cubic action for the special Galileon theory. Since the nonlinear sigma
model and special Galileon are subtly encoded in the cubic sectors of
Yang-Mills theory and gravity, respectively, their double copy relationship is
automatic.Comment: fixed typos and references in v2. Matched to JHEP version in v
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