# 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.

## Citations

8 citations in Web of Science®
7 citations in Scopus®
Google Scholar™

## Downloads

102 downloads since deposited on 21 Feb 2010
32 downloads since 12 months
Detailed statistics

## Additional indexing

Item Type: Journal Article, refereed, original work 07 Faculty of Science > Physics Institute 530 Physics English 2009 21 Feb 2010 11:48 05 Apr 2016 13:56 Elsevier 0370-2693 https://doi.org/10.1016/j.physletb.2009.04.083 http://arxiv.org/abs/arXiv:0904.2665

## Download

 Preview
Content: Accepted Version
Filetype: PDF (Accepted manuscript, Version 2)
Size: 1MB
View at publisher
 Preview
Content: Accepted Version
Filetype: PDF (Accepted manuscript, Version 1)
Size: 170kB

## TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.