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

Gehrmann T, Glover EWN, Huber T, Ikizlerli N, Studerus C (2010)

JHEP 2010(6).

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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 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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Gehrmann T, Glover EWN, Huber T, Ikizlerli N, Studerus C. Calculation of the quark and gluon form factors to three loops in QCD.

*JHEP*. 2010;2010(6).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.

*JHEP*,*2010*(6).Gehrmann, T., Glover, E. W. N., Huber, T., Ikizlerli, N., and Studerus, C. (2010). Calculation of the quark and gluon form factors to three loops in QCD.

*JHEP*2010.Gehrmann, T., et al., 2010. Calculation of the quark and gluon form factors to three loops in QCD.

*JHEP*, 2010(6).T. Gehrmann, et al., “Calculation of the quark and gluon form factors to three loops in QCD”,

*JHEP*, vol. 2010, 2010.Gehrmann, T., Glover, E.W.N., Huber, T., Ikizlerli, N., Studerus, C.: Calculation of the quark and gluon form factors to three loops in QCD. JHEP. 2010, (2010).

Gehrmann, T., Glover, E.W.N., Huber, T., Ikizlerli, N., and Studerus, Cedric. “Calculation of the quark and gluon form factors to three loops in QCD”.

*JHEP*2010.6 (2010).
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