Alladi Ramakrishnan Hall

Simplifying differential equations for multi-scale Feynman integrals beyond multiple polylogarithms

Ekta

MITP, University of Mainz

In this paper we exploit factorisation properties of Picard-Fuchs operators to decouple differential
equations for multi-scale Feynman integrals. The algorithm reduces the differential equations to
blocks of the size of the order of the irreducible factors of the Picard-Fuchs operator. As a side
product, our method can be used to easily convert the differential equations for Feynman integrals
which evaluate to multiple polylogarithms to ε-form'