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

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

2006-07-17

arxiv.org/abs/hep-ph/0607185v1

Phys.Lett. B640 (2006) 252-259

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 1 figure

Scientific paper

10.1016/j.physletb.2006.08.008

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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