SIMPLIFYING SYSTEMS OF DIFFERENTIAL EQUATIONS. THE CASE OF THE SUNRISE GRAPH

Differential equations are one of the most powerful and promising tools for evaluating multi-loop and multi-scale Feynman integrals. We report on a new systematic method for simplifying systems of differential equations. The method is based on the analysis of the integration by parts identities in fixed integer numbers of dimensions. The case of the two-loop massive sunrise is discussed in detail.