Master integrals for massless three-loop form-factors: One-loop and two-loop insertions

Jul, 2006
12 pages
Published in:
  • Phys.Lett.B 640 (2006) 252-259
e-Print:
Report number:
  • ZU-TH-16-06

Citations per year

2006201120162021202402468
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.
  • quantum chromodynamics: massless
  • form factor
  • Feynman graph: higher-order
  • higher-order: 3