Amplitudes Summer School 2017: Alessandro Georgoudis - Azurite: finding master Integrals using algebraic geometry
From Einan Gardi
Azurite: finding master Integrals using algebraic geometry
For any given Feynman graph, the set of integrals with all possible powers of the propagators spans a vector space of finite dimension. I will introduce the package Azurite (arXiv:1612.04252) 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 Singular and Mathematica. I will also discuss some recent progresses and application of Azurite.