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arxiv: 1607.00759 · v2 · pith:ZO6DOBP6new · submitted 2016-07-04 · ✦ hep-ph

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

classification ✦ hep-ph
keywords differentialequationsfuchsiaintegralsfunctionsmasterreducingsplitting
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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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