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arXiv · 1702.04279

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

Luise Adams·Ekta Chaubey·Stefan Weinzierl
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Abstract

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 $\varepsilon$-form.

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Luise Adams, Ekta Chaubey, Stefan Weinzierl. 2017-03-23. Simplifying differential equations for multi-scale Feynman integrals beyond multiple polylogarithms. https://doi.org/10.1103/physrevlett.118.141602

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