Algorithmic transformation of multi-loop Feynman integrals to a canonical basis

by Christoph Meyer

Thursday 8 Dec 2016, 14:00 → 15:00 Europe/London

OC128 (IPPP)

In the past years the method of differential equations has proven itself to be a powerful tool for the computation of multi-loop Feynman integrals. This method relies on the choice of a basis of master integrals in which the dependence on the dimensional regulator factorizes. I will present an algorithm that automatizes the transformation to such a basis, starting from a given reduction basis. The algorithm is applicable to differential equations with multiple scales and rational dependence on the dimensional regulator. An implementation of the algorithm in mathematica will be shown and its application to multi-scale problems will be illustrated.