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

2016/07/04 by O. Gituliar, Gituliar, O., Vitaly Magerya +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.1607.00759

openalex publication_date 2016/07/04 · openalex created_date 2016/07/22 · openalex updated_date 2026/07/28

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.

Citations

• Reduze 2 - Distributed Feynman Integral Reduction

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