%0 Journal Article
%T Soft gluons and gauge-invariant subtractions in NLO parton-shower Monte Carlo event generators
%A J. C. Collins
%A F. Hautmann
%J Physics
%D 2000
%I arXiv
%R 10.1088/1126-6708/2001/03/016
%X We address the problem of decomposing graphs in perturbative QCD into terms associated with particular regions. Motivated by asking how to incorporate next-to-leading order (NLO) QCD corrections in parton-shower algorithms, we require that: (a) The integrand for the hard part is to be integrable even if the corrections are applied to a process that is not infrared and collinear safe. (b) The splitting between the terms should be defined gauge-invariantly. (c) The dependence on cut-offs should obey homogeneous evolution equations. In the context of one-gluon-emission graphs for deep inelastic scattering, we explain a subtractive technique that is based on gauge-invariant Wilson-line operators. Appropriate organization of subtractions involving the soft region allows a connection to previous work where evolution equations with respect to the directions of the Wilson lines have been derived.
%U http://arxiv.org/abs/hep-ph/0009286v2