Integral reduction with Kira 2.0 and finite field methods
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Publication:6156526
DOI10.1016/J.CPC.2021.108024zbMATH Open1523.81078arXiv2008.06494OpenAlexW3049116843MaRDI QIDQ6156526
Author name not available (Why is that?)
Publication date: 13 June 2023
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/2008.06494
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