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arXiv · 2505.20197

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

Fabian Lange·Johann Usovitsch·Zihao Wu
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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.

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Fabian Lange, Johann Usovitsch, Zihao Wu. 2025-05-26. Kira 3: integral reduction with efficient seeding and optimized equation selection. https://arxiv.org/abs/2505.20197

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