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Two-loop QCD helicity amplitudes for (2+1)-jet production in deep inelastic scattering


Gehrmann, T; Glover, E W N (2009). Two-loop QCD helicity amplitudes for (2+1)-jet production in deep inelastic scattering. Physics Letters B, 676(4-5):146-151.

Abstract

We derive the two-loop QCD helicity amplitudes for the processes ℓq→ℓqg (View the MathML source) and View the MathML source, which are the partonic reactions yielding (2+1)-jet final states in deep inelastic lepton nucleon scattering. The amplitudes are obtained by analytic continuation of the known helicity amplitudes for View the MathML source. We separate the infrared divergent and finite parts of the amplitudes using Catani's infrared factorization formula. The analytic results for the finite parts of the amplitudes are expressed in terms of one- and two-dimensional harmonic polylogarithms. To evaluate these functions numerically, we list in detail the non-trivial (and kinematic region dependent) variable transformations one needs to perform.

Abstract

We derive the two-loop QCD helicity amplitudes for the processes ℓq→ℓqg (View the MathML source) and View the MathML source, which are the partonic reactions yielding (2+1)-jet final states in deep inelastic lepton nucleon scattering. The amplitudes are obtained by analytic continuation of the known helicity amplitudes for View the MathML source. We separate the infrared divergent and finite parts of the amplitudes using Catani's infrared factorization formula. The analytic results for the finite parts of the amplitudes are expressed in terms of one- and two-dimensional harmonic polylogarithms. To evaluate these functions numerically, we list in detail the non-trivial (and kinematic region dependent) variable transformations one needs to perform.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:2009
Deposited On:21 Feb 2010 11:48
Last Modified:05 Apr 2016 13:56
Publisher:Elsevier
ISSN:0370-2693
Publisher DOI:https://doi.org/10.1016/j.physletb.2009.04.083
Related URLs:http://arxiv.org/abs/arXiv:0904.2665

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Content: Accepted Version
Filetype: PDF (Accepted manuscript, Version 1)
Size: 170kB