English

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

High Energy Physics - Phenomenology 2025-05-27 v1 General Relativity and Quantum Cosmology High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.2505.20197,
  title  = {Kira 3: integral reduction with efficient seeding and optimized equation selection},
  author = {Fabian Lange and Johann Usovitsch and Zihao Wu},
  journal= {arXiv preprint arXiv:2505.20197},
  year   = {2025}
}

Comments

33 pages, 5 figures, 7 tables

R2 v1 2026-07-01T02:40:15.168Z