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Master Integrals for Massless Three-Loop Form Factors: One-Loop and Two-Loop Insertions

T. Gehrmann·G. Heinrich·T. Huber·C. Studerus
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Abstract

The three-loop form factors in massless QCD can be expressed as a linear combination of master integrals. Besides a number of master integrals which factorise into products of one-loop and two-loop integrals, one finds 16 genuine three-loop integrals. Of these, six have the form of a bubble insertion inside a one-loop or two-loop vertex integral. We compute all master integrals with these insertion topologies.

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T. Gehrmann, G. Heinrich, T. Huber, C. Studerus. 2006-07-17. Master Integrals for Massless Three-Loop Form Factors: One-Loop and Two-Loop Insertions. https://doi.org/10.1016/j.physletb.2006.08.008

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