FIRE 7: Automatic reduction with modular approach

Published: 12 May 2026| Version 3 | DOI: 10.17632/cy6k69pb3y.3
Contributors:
,

Description

FIRE7 is a major update to the FIRE program for integration-by-parts (IBP) reduction of Feynman integrals. A large part of the improvements is related to the automatic reduction and reconstruction with the modular arithmetic approach. The performance of the classical rational polynomial approach is also significantly increased, using an improved presolve algorithm that performs Gaussian elimination to simplify IBP identities before substituting numerical indices as in the Laporta algorithm. Various new command line tools are included to facilitate tasks such as applying an IBP reduction table to reduce a loop integrand as a linear combination of individual integrals.

Files

Categories

Computational Algebra, Perturbation Theory, Computational Physics

Licence