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

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

2010-04-21

arxiv.org/abs/1004.3653v4

Physics

High Energy Physics

High Energy Physics - Phenomenology

60 pages, JHEP3 class, references added, formulae for appendix A and B attached

Scientific paper

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 ${\cal O}(\e)$ 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.

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