Factorization of denominators as a `fuel' for Feynman integral reduction

TL;DR

This paper introduces algorithms to factorize denominators in Feynman integral reduction, enhancing efficiency and robustness in IBP coefficient calculations.

Contribution

It presents practical algorithms for denominator factorization in IBP reduction, integrated into the FUEL interface, improving computational performance.

Findings

Reduces reconstruction cost in IBP reduction.

Improves robustness of large-scale Feynman integral reductions.

Enhances efficiency through denominator factorization algorithms.

Abstract

Rational-function simplification is key bottlenecks in integration-by-parts (IBP) reduction of Feynman integrals. We study denominator factorization patterns appearing in IBP coefficients and develop practical algorithms for extracting and exploiting factorized denominator structure within the FUEL interface. The resulting workflow reduces reconstruction cost and improves robustness of large-scale reductions.