Fuchsia and master integrals for splitting functions from differential equations in QCD
High Energy Physics - Phenomenology
2016-07-14 v2
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.
Cite
@article{arxiv.1607.00759,
title = {Fuchsia and master integrals for splitting functions from differential equations in QCD},
author = {O. Gituliar and V. Magerya},
journal= {arXiv preprint arXiv:1607.00759},
year = {2016}
}
Comments
7 pages; Contribution to Loops and Legs in Quantum Field Theory 2016; *.m files with examples