MultivariateResidues: A Mathematica package for computing multivariate residues

Published: 14 September 2017| Version 1 | DOI: 10.17632/7z87sf98xs.1
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Description

Multivariate residues appear in many different contexts in theoretical physics and algebraic geometry. In theoretical physics, they for example give the proper definition of generalized-unitarity cuts, and they play a central role in the Grassmannian formulation of the S-matrix by Arkani-Hamed et al. In realistic cases their evaluation can be non-trivial. In this paper we provide a Mathematica package for efficient evaluation of multivariate residues based on methods from computational algebraic geometry.

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Computational Physics, Perturbation Theory, Computational Algebraic Geometry

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