Rational Function Simplification for Integration-by-Parts Reduction and Beyond
Abstract
We present FUEL (Fractional Universal Evaluation Library), a C++ library for performing rational function arithmetic with a flexible choice of third-party computer algebra systems as simplifiers. FUEL is an outgrowth of a C++ interface to Fermat which was originally part of the FIRE code for integration-by-parts (IBP) reduction for Feynman integrals, now promoted to be a standalone library and with access to simplifiers other than Fermat. We compare the performance of various simplifiers for standalone benchmark problems as well as IBP reduction runs with FIRE. A speedup of more than 10 times is achieved for an example IBP problem related to off-shell three-particle form factors in super-Yang-Mills theory.
Keywords
Cite
@article{arxiv.2304.13418,
title = {Rational Function Simplification for Integration-by-Parts Reduction and Beyond},
author = {Kirill Mokrov and Alexander Smirnov and Mao Zeng},
journal= {arXiv preprint arXiv:2304.13418},
year = {2023}
}
Comments
19 pages, 2 figure, 6 tables. v2 update: significant enhancements to the code