\textsc{Azurite}: an algebraic geometry based package for finding bases of loop integrals
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Publication:2100566
DOI10.1016/J.CPC.2017.08.013zbMATH Open1498.81007arXiv1612.04252OpenAlexW2566355495MaRDI QIDQ2100566
Author name not available (Why is that?)
Publication date: 24 November 2022
Published in: (Search for Journal in Brave)
Abstract: For any given Feynman graph, the set of integrals with all possible powers of the propagators spans a vector space of finite dimension. We introduce the package {sc Azurite} ({�f A ZUR}ich-bred method for finding master {�f I}n{�f TE}grals), which efficiently finds a basis of this vector space. It constructs the needed integration-by-parts (IBP) identities on a set of generalized-unitarity cuts. It is based on syzygy computations and analyses of the symmetries of the involved Feynman diagrams and is powered by the computer algebra systems {sc Singular} and {sc Mathematica}. It can moreover analytically calculate the part of the IBP identities that is supported on the cuts.
Full work available at URL: https://arxiv.org/abs/1612.04252
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