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

• DOI: 10.1007/jhep06(2010)094
• Publication Date: 2010-07-01T09:04:53Z
• Authors: T. Gehrmann; E. W. N. Glover; T. Huber; N. Ikizlerli; C. Studerus
• Keywords: High Energy Physics - Phenomenology; High Energy Physics - Phenomenology (hep-ph); 530 Physics; 0103 physical sciences; FOS: Physical sciences; 10192 Physics Institute; 3106 Nuclear and High Energy Physics; 01 natural sciences

60 pages, JHEP3 class, v5: Typos corrected<br/>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 ${\cal O}(ε)$ 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.<br/>