Transforming multi-loop Feynman integrals to a canonical basis
Christoph Meyer (HU Berlin)

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 basis that is obtained for instance by one of the publicly available Laporta implementations. 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.