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arXiv · 2304.13418

Rational Function Simplification for Integration-by-Parts Reduction and Beyond

Kirill Mokrov·Alexander Smirnov·Mao Zeng
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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 $\mathcal N=4$ super-Yang-Mills theory.

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Kirill Mokrov, Alexander Smirnov, Mao Zeng. 2023-10-22. Rational Function Simplification for Integration-by-Parts Reduction and Beyond. https://doi.org/10.26089/nummet.v24r425

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