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Calculation of the quark and gluon form factors to three loops in QCD


Gehrmann, T; Glover, E W N; Huber, T; Ikizlerli, N; Studerus, C (2010). Calculation of the quark and gluon form factors to three loops in QCD. Journal of High Energy Physics, (6):94.

Abstract

We describe the calculation of the three-loop QCD corrections to quark and gluon form factors. The relevant three-loop Feynman diagrams are evaluated and the resulting three-loop Feynman integrals are reduced to a small set of known master integrals by using integration-by-parts relations. Our calculation confirms the recent results by Baikov et al. for the three-loop form factors. In addition, we derive the subleading mathcal{O}left( \varepsilon right) terms for the fermion-loop type contributions to the three-loop form factors which are required for the extraction of the fermionic contributions to the four-loop quark and gluon collinear anomalous dimensions. The finite parts of the form factors are used to determine the hard matching coefficients for the Drell-Yan process and inclusive Higgs-production in soft-collinear effective theory.

Abstract

We describe the calculation of the three-loop QCD corrections to quark and gluon form factors. The relevant three-loop Feynman diagrams are evaluated and the resulting three-loop Feynman integrals are reduced to a small set of known master integrals by using integration-by-parts relations. Our calculation confirms the recent results by Baikov et al. for the three-loop form factors. In addition, we derive the subleading mathcal{O}left( \varepsilon right) terms for the fermion-loop type contributions to the three-loop form factors which are required for the extraction of the fermionic contributions to the four-loop quark and gluon collinear anomalous dimensions. The finite parts of the form factors are used to determine the hard matching coefficients for the Drell-Yan process and inclusive Higgs-production in soft-collinear effective theory.

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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:2010
Deposited On:04 Jan 2011 15:41
Last Modified:07 Dec 2017 05:22
Publisher:Springer
ISSN:1029-8479
Publisher DOI:https://doi.org/10.1007/JHEP06(2010)094
Related URLs:http://arxiv.org/abs/1004.3653

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Download PDF  'Calculation of the quark and gluon form factors to three loops in QCD'.
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Content: Accepted Version
Filetype: PDF (Accepted manuscript, Version 2)
Size: 382kB
Download PDF  'Calculation of the quark and gluon form factors to three loops in QCD'.
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Content: Accepted Version
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