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High Energy Physics - Phenomenology

arXiv:2305.08783 (hep-ph)
[Submitted on 15 May 2023 (v1), last revised 24 Oct 2024 (this version, v3)]

Title:NeatIBP 1.0, A package generating small-size integration-by-parts relations for Feynman integrals

Authors:Zihao Wu, Janko Boehm, Rourou Ma, Hefeng Xu, Yang Zhang
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Abstract:In this work, we present the package {\sc NeatIBP}, which automatically generates small-size integration-by-parts (IBP) identities for Feynman integrals. Based on the syzygy and module intersection techniques, the generated IBP identities' propagator degree is controlled and thus the size of the system of IBP identities is shorter than that generated by the standard Laporta algorithm. This package is powered by the computer algebra systems {\sc Mathematica} and {\sc Singular}, and the library {\sc SpaSM}. It is parallelized on the level of Feynman integral sectors. The generated small-size IBP identities can subsequently be used for either finite field reduction or analytic reduction. We demonstrate the capabilities of this package on several multi-loop IBP examples.
Comments: update to published version
Subjects: High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th)
Report number: USTC-ICTS/PCFT-23-15
Cite as: arXiv:2305.08783 [hep-ph]
  (or arXiv:2305.08783v3 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.2305.08783

Submission history

From: Zihao Wu [view email]
[v1] Mon, 15 May 2023 16:43:50 UTC (42 KB)
[v2] Mon, 12 Jun 2023 07:27:09 UTC (44 KB)
[v3] Thu, 24 Oct 2024 08:12:25 UTC (46 KB)
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