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arXiv · 1607.00759

Fuchsia and master integrals for splitting functions from differential equations in QCD

O. Gituliar·V. Magerya
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Abstract

We report on the recent progress in reducing differential equations for Feynman master integrals to canonical form with the help of a method proposed by Roman Lee. For the first time, we present Fuchsia --- our open-source implementation of the Lee algorithm written in Python using mathematical routines of a free computer algebra system SageMath. We demonstrate Fuchsia by reducing differential equations for NLO contributions to splitting functions in QCD, which contain both loops and legs integrals.

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O. Gituliar, V. Magerya. 2016-07-04. Fuchsia and master integrals for splitting functions from differential equations in QCD. https://arxiv.org/abs/1607.00759

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