Integral Reduction with Kira 2.0 and Finite Field Methods

TL;DR

Kira 2.0 introduces finite field methods and parallelization for efficient Feynman integral reduction, improving performance and flexibility in complex amplitude calculations.

Contribution

The paper presents Kira 2.0 with novel finite field reconstruction and enhanced user system support, enabling more flexible and efficient integral reductions.

Findings

Reduced main memory usage in benchmarks

Improved performance over previous versions

Successful application to complex Feynman integral problems

Abstract

We present the new version 2.0 of the Feynman integral reduction program Kira and describe the new features. The primary new feature is the reconstruction of the final coefficients in integration-by-parts reductions by means of finite field methods with the help of FireFly. This procedure can be parallelized on computer clusters with MPI. Furthermore, the support for user-provided systems of equations has been significantly improved. This mode provides the flexibility to integrate Kira into projects that employ specialized reduction formulas, direct reduction of amplitudes, or to problems involving linear system of equations not limited to relations among standard Feynman integrals. We show examples from state-of-the-art Feynman integral reduction problems and provide benchmarks of the new features, demonstrating significantly reduced main memory usage and improved performance w.r.t. previous versions of Kira.