swMATH ID: 20252
Software Authors: Alessandro Georgoudis, Kasper J. Larsen, Yang Zhang
Description: Azurite: An algebraic geometry based package for finding bases of loop integrals. 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.
Homepage: https://arxiv.org/abs/1612.04252
Related Software: Reduze; LiteRed; FIRE; Fuchsia; Kira; FIRE5; epsilon; CutTools; SINGULAR; DiffExp; AIR; Fermat; pySecDec; GitHub; FiniteFlow; Axodraw; JaxoDraw; Mathematica; RationalizeRoots; HyperInt
Cited in: 23 Publications

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