2,576 research outputs found
Direct Estimation of Sizes of Higher-Order Graphs
With the aid of simple examples we show how to make simple estimates of the
sizes of higher-order Feynman graphs. Our methods enable appropriate values of
renormalization and factorization scales to be made. They allow the diagnosis
of the source of unusually large corrections that are in need of resummation.Comment: 22 pages Revtex with epsf, postscript figures. Replacement is due to
author error. Version is same as origina
A next-to-next-to-leading order calculation of soft-virtual cross sections
We compute the next-to-next-to-leading order (NNLO) soft and virtual QCD
corrections for the partonic cross section of colourless-final state processes
in hadronic collisions. The results are valid to all orders in the dimensional
regularization parameter \ep. The dependence of the results on a particular
process is given through finite contributions to the one and two-loop
amplitudes. To evaluate the accuracy of the soft-virtual approximation we
compare it with the full NNLO result for Drell-Yan and Higgs boson production
via gluon fusion. We also provide a universal expression for the hard
coefficient needed to perform threshold resummation up to
next-to-next-to-leading logarithmic (NNLL) accuracy.Comment: 25 pages, 4 figure
Subtraction Terms for Hadronic Production Processes at Next-to-Next-to-Leading Order
I describe a subtraction scheme for the next-to-next-to-leading order
calculation of single inclusive production at hadron colliders. Such processes
include Drell-Yan, W^{+/-}, Z and Higgs Boson production. The key to such a
calculation is a treatment of initial state radiation which preserves the
production characteristics, such as the rapidity distribution, of the process
involved. The method builds upon the Dipole Formalism and, with proper
modifications, could be applied to deep inelastic scattering and e^+ e^-
annihilation to hadrons.Comment: 4 page
QCD corrections to vector boson fusion processes
NLO QCD corrections to H, W and Z production via vector boson fusion have
recently been calculated in the form of flexible parton level Monte Carlo
programs. This allows for the calculation of distributions and cross sections
with cuts at NLO accuracy. Some features of the calculation, as well as results
for the LHC, are reviewed.Comment: 1 style file, 1 latex file, 5 figures, Contribution to the
Proceedings of "Loops and Legs in Quantum Field Theory, 2004", Zinnowitz,
Usedom Island, Germany, April, 200
Infrared singularities of scattering amplitudes in perturbative QCD
An exact formula is derived for the infrared singularities of dimensionally
regularized scattering amplitudes in massless QCD with an arbitrary number of
legs, valid at any number of loops. It is based on the conjecture that the
anomalous-dimension matrix of n-jet operators in soft-collinear effective
theory contains only a single non-trivial color structure, whose coefficient is
the cusp anomalous dimension of Wilson loops with light-like segments. Its
color-diagonal part is characterized by two anomalous dimensions, which are
extracted to three-loop order from known perturbative results for the quark and
gluon form factors. This allows us to predict the three-loop coefficients of
all 1/epsilon^k poles for an arbitrary n-parton scattering amplitudes,
generalizing existing two-loop results.Comment: 4 pages; v2: typo in eq. (12) fixed, references updated; v3:
additional term in (12
A Tree-Loop Duality Relation at Two Loops and Beyond
The duality relation between one-loop integrals and phase-space integrals,
developed in a previous work, is extended to higher-order loops. The duality
relation is realized by a modification of the customary +i0 prescription of the
Feynman propagators, which compensates for the absence of the multiple-cut
contributions that appear in the Feynman tree theorem. We rederive the duality
theorem at one-loop order in a form that is more suitable for its iterative
extension to higher-loop orders. We explicitly show its application to two- and
three-loop scalar master integrals, and we discuss the structure of the
occurring cuts and the ensuing results in detail.Comment: 20 pages. Few typos corrected, some additional comments included,
Appendix B and one reference added. Final version as published in JHE
Subtraction terms at NNLO
Perturbative calculations at next-to-next-to-leading order for multi-particle
final states require a method to cancel infrared singularities. I discuss the
subtraction method at NNLO. As a concrete example I consider the leading-colour
contributions to e+ e- --> 2 jets. This is the simplest example which exhibits
all essential features. For this example, explicit subtraction terms are given,
which approximate the four-parton and three-parton final states in all double
and single unresolved limits, such that the subtracted matrix elements can be
integrated numerically.Comment: 41 page
Space-like (vs. time-like) collinear limits in QCD: is factorization violated?
We consider the singular behaviour of QCD scattering amplitudes in
kinematical configurations where two or more momenta of the external partons
become collinear. At the tree level, this behaviour is known to be controlled
by factorization formulae in which the singular collinear factor is universal
(process independent). We show that this strict (process-independent)
factorization is not valid at one-loop and higher-loop orders in the case of
the collinear limit in space-like regions (e.g., collinear radiation from
initial-state partons). We introduce a generalized version of all-order
collinear factorization, in which the space-like singular factors retain some
dependence on the momentum and colour charge of the non-collinear partons. We
present explicit results on one-loop and two-loop amplitudes for both the
two-parton and multiparton collinear limits. At the level of square amplitudes
and, more generally, cross sections in hadron--hadron collisions, the violation
of strict collinear factorization has implications on the non-abelian structure
of logarithmically-enhanced terms in perturbative calculations (starting from
the next-to-next-to-leading order) and on various factorization issues of mass
singularities (starting from the next-to-next-to-next-to-leading order).Comment: 81 pages, 5 figures, typos corrected in the text, few comments added
and inclusion of NOTE ADDED on recent development
Next-to-leading order jet distributions for Higgs boson production via weak-boson fusion
The weak-boson fusion process is expected to provide crucial information on
Higgs boson couplings at the Large Hadron Collider at CERN. The achievable
statistical accuracy demands comparison with next-to-leading order QCD
calculations, which are presented here in the form of a fully flexible parton
Monte Carlo program. QCD corrections are determined for jet distributions and
are shown to be modest, of order 5 to 10% in most cases, but reaching 30%
occasionally. Remaining scale uncertainties range from order 5% or less for
distributions to below +-2% for the Higgs boson cross section in typical
weak-boson fusion search regions.Comment: 19 pages, 8 figure
Association of ultracold double-species bosonic molecules
We report on the creation of heterospecies bosonic molecules, associated from
an ultracold Bose-Bose mixture of 41K and 87Rb, by using a resonantly modulated
magnetic field close to two Feshbach resonances. We measure the binding energy
of the weakly bound molecular states versus the Feshbach field and compare our
results to theoretical predictions. We observe the broadening and asymmetry of
the association spectrum due to thermal distribution of the atoms, and a
frequency shift occurring when the binding energy depends nonlinearly on the
Feshbach field. A simple model is developed to quantitatively describe the
association process. Our work marks an important step forward in the
experimental route towards Bose-Einstein condensates of dipolar molecules.Comment: 5 pages, 4 figure
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