Azurite: An algebraic geometry based package for finding bases of loop integrals
| Autor: | Georgoudis, Alessandro, Larsen, Kasper J., Zhang, Yang |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Comput.Phys.Commun. 221 (2017) 203-215 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.cpc.2017.08.013 |
| Popis: | 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} ({\bf A ZUR}ich-bred method for finding master {\bf I}n{\bf 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. Comment: Version 1.1.0 of the package Azurite, with parallel computations. It can be downloaded from https://bitbucket.org/yzhphy/azurite/raw/master/release/Azurite_1.1.0.tar.gz |
| Databáze: | arXiv |
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