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The quark and gluon form factors to three loops in QCD through to O(eps^2)


Gehrmann, T; Glover, E W N; Huber, T; Ikizlerli, N; Studerus, C (2010). The quark and gluon form factors to three loops in QCD through to O(eps^2). Journal of High Energy Physics, (11):012.

Abstract

We give explicit formulae for the mathcal{O}(ɛ) and mathcal{O}left( {{ɛ^2}} right) contributions to the unrenormalised three loop QCD corrections to quark and gluon form factors. These contributions have at most transcendentality weight eight. The mathcal{O}(ɛ) terms of the three-loop form factors are required for the extraction of the four-loop quark and gluon collinear anomalous dimensions. The mathcal{O}left( {{ɛ^2}} right) terms represent an irreducible contribution to the finite part of the form factors at four-loops. For the sake of completeness, we also give the contributions to the one and two loop form factors to the same transcendentality weight eight.

We give explicit formulae for the mathcal{O}(ɛ) and mathcal{O}left( {{ɛ^2}} right) contributions to the unrenormalised three loop QCD corrections to quark and gluon form factors. These contributions have at most transcendentality weight eight. The mathcal{O}(ɛ) terms of the three-loop form factors are required for the extraction of the four-loop quark and gluon collinear anomalous dimensions. The mathcal{O}left( {{ɛ^2}} right) terms represent an irreducible contribution to the finite part of the form factors at four-loops. For the sake of completeness, we also give the contributions to the one and two loop form factors to the same transcendentality weight eight.

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20 citations in Web of Science®
21 citations in Scopus®
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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:November 2010
Deposited On:04 Jan 2011 16:13
Last Modified:05 Apr 2016 14:32
Publisher:Springer
ISSN:1029-8479
Publisher DOI:10.1007/JHEP11(2010)102
Related URLs:http://arxiv.org/abs/1010.4478
Permanent URL: http://doi.org/10.5167/uzh-41359

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