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Simplifying differential equations for multi-scale Feynman integrals beyond multiple polylogarithms (1702.04279v2)
Published 14 Feb 2017 in hep-ph and hep-th
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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