FIRE6: Feynman Integral REduction with Modular Arithmetic

TL;DR

FIRE6 delivers a high-performance framework for reducing multiloop Feynman integrals to master integrals, combining a C++ reduction core with a Mathematica front-end and modular arithmetic to enable large-scale, memory-efficient reductions. The workflow supports start-file preparation, cross-tool symmetries via LiteRed, disk and memory databases, and MPI-enabled multi-node runs, with detailed reconstruction strategies for multivariate rational coefficients. The key contributions include crash-recovery, scalable parallelization, and a robust modular-arithmetic pipeline that can tackle problems at the edge of current computational feasibility. These advancements make FIRE6 a practical, scalable tool for high-precision quantum-field-theory calculations in modern particle physics.

Abstract

FIRE is a program performing reduction of Feynman integrals to master integrals. The C++ version of FIRE was presented in 2014. There have been multiple changes and upgrades since then including the possibility to use multiple computers for one reduction task and to perform reduction with modular arithmetic. The goal of this paper is to present the current version of FIRE.

Figures (2)

• Figure 1: Massless on-shell doublebox
• Figure 2: Two-loop massless onshell vertex.