Deriving canonical differential equations for Feynman integrals from a single uniform weight integral
Abstract
Differential equations are a powerful tool for evaluating Feynman integrals. Their solution is straightforward if a transformation to a canonical form is found. In this paper, we present an algorithm for finding such a transformation. This novel technique is based on a method due to Hoschele et al. and relies only on the knowledge of a single integral of uniform transcendental weight. As a corollary, the algorithm can also be used to test the uniform transcendentality of a given integral. We discuss the application to several cutting-edge examples, including non-planar four-loop HQET and non-planar two-loop five-point integrals. A Mathematica implementation of our algorithm is made available together with this paper.
Cite
@article{arxiv.2002.02340,
title = {Deriving canonical differential equations for Feynman integrals from a single uniform weight integral},
author = {Christoph Dlapa and Johannes Henn and Kai Yan},
journal= {arXiv preprint arXiv:2002.02340},
year = {2020}
}
Comments
22 pages, 5 figures, 1 table