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

Kirill Mokrov, Alexander Smirnov, Mao Zeng

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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 𝒩 = 4 super-Yang-Mills theory.
Original languageEnglish
Pages (from-to)352-367
Number of pages16
JournalNumerical Methods and Programming
Issue number4
Publication statusPublished - 19 Oct 2023

Keywords / Materials (for Non-textual outputs)

  • Feynman integrals
  • integration by parts
  • computer algebra


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