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

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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 \( \mathcal{O}\left( \varepsilon \right) \) 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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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Zürich, Winterthurerstrasse 190, CH-8057, Zürich, Switzerland

    T. Gehrmann & C. Studerus

  2. Institute for Particle Physics Phenomenology, University of Durham, South Road, Durham, DH1 3LE, England, U.K.

    E. W. N. Glover & N. Ikizlerli

  3. Fachbereich 7, Universität Siegen, Walter-Flex-Strasse 3, D-57068, Siegen, Germany

    T. Huber

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  1. T. Gehrmann
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ArXiv ePrint: 1004.3653

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Gehrmann, T., Glover, E.W.N., Huber, T. et al. Calculation of the quark and gluon form factors to three loops in QCD. J. High Energ. Phys. 2010, 94 (2010). https://doi.org/10.1007/JHEP06(2010)094

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