Differential Equations for Feynman Integrals

This is the authors' abstract. We don't add key points for this paper.

Feynman integrals are notoriously difficult multidimensional integrals arising in many physical problems. We present various approaches for determining the differential equations satisfied by Feynman integrals. The approach is based on the analysis of the algebraic geometry associated with the Feynman integrals and the use of the creative telescoping algorithm.