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

DOI10.1007/JHEP06(2010)094zbMATH Open1288.81146arXiv1004.3653WikidataQ60197198 ScholiaQ60197198MaRDI QIDQ2452512

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Publication date: 4 June 2014

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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 $calO(e)$ 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.

Full work available at URL: https://arxiv.org/abs/1004.3653

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