Kira 3: integral reduction with efficient seeding and optimized equation selection

TL;DR

Kira 3 is an advanced Feynman integral reduction tool that significantly enhances performance through optimized algorithms, supporting complex calculations in quantum field theory and gravitational physics.

Contribution

It introduces optimized seeding and equation selection algorithms, along with new features like numerical sampling and symbolic IBP reductions, improving efficiency over previous versions.

Findings

Up to 100x speedup in benchmark tests

Supports multi-loop and multi-scale problems

Enhanced features for numerical and symbolic reductions

Abstract

We present version 3 of Kira, a Feynman integral reduction program for high-precision calculations in quantum field theory and gravitational-wave physics. Building on previous versions, Kira 3 introduces optimized seeding and equation selection algorithms, significantly improving performance for multi-loop and multi-scale problems. New features include convenient numerical sampling, symbolic integration-by-parts reductions, and support for user-defined additional relations. We demonstrate its capabilities through benchmarks on two- and three-loop topologies, showcasing up to two orders of magnitude improvement over Kira 2.3. Kira 3 is publicly available and poised to support ambitious projects in particle physics and beyond.