A basis of finite Feynman integrals

Tuesday, 17 November 2015 at 11:15 in Y36 J33

I discuss a new method for the decomposition of multi-loop Feynman integrals into finite Feynman integrals. Our approach avoids the introduction of spurious structures and thereby leaves integrals particularly accessible to analytical and numerical integration techniques. As an application, I present the calculation of the massless QCD form factors through to three loops. In our finite basis, the most complicated integrals do not contribute to the cusp anamalous dimensions. Indications for a similar phenomenon at the four-loop level can be observed in our explicit result for a twelve-propagator topology.