Kira -- a Feynman integral reduction program
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Publication:2102497
DOI10.1016/J.CPC.2018.04.012zbMATH Open1498.81004arXiv1705.05610OpenAlexW2616684254WikidataQ129909470 ScholiaQ129909470MaRDI QIDQ2102497
Author name not available (Why is that?)
Publication date: 28 November 2022
Published in: (Search for Journal in Brave)
Abstract: In this article, we present a new implementation of the Laporta algorithm to reduce scalar multi-loop integrals---appearing in quantum field theoretic calculations---to a set of master integrals. We extend existing approaches by using an additional algorithm based on modular arithmetic to remove linearly dependent equations from the system of equations arising from integration-by-parts and Lorentz identities. Furthermore, the algebraic manipulations required in the back substitution are optimized. We describe in detail the implementation as well as the usage of the program. In addition, we show benchmarks for concrete examples and compare the performance to Reduze 2 and FIRE 5. In our benchmarks we find that Kira is highly competitive with these existing tools.
Full work available at URL: https://arxiv.org/abs/1705.05610
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