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arXiv · hep-ph/0009286

Soft gluons and gauge-invariant subtractions in NLO parton-shower Monte Carlo event generators

J. C. Collins·F. Hautmann
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Abstract

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.

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J. C. Collins, F. Hautmann. 2001-03-27. Soft gluons and gauge-invariant subtractions in NLO parton-shower Monte Carlo event generators. https://doi.org/10.1088/1126-6708%2F2001%2F03%2F016

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