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MULTIVARIATERESIDUES: A Mathematica package for computing multivariate residues
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DOI：10.1016/j.cpc.2017.08.025.png)
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Abstract
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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. Program summary Program Title: MULTIVARIATERESIDUES Program Files doi: http://dx.doi.org/10.17632/7z87sf98xs.1 Licensing provisions: GNU General Public License (GPLv3) Programming language: Wolfram Mathematica version 7.0 or higher Nature of problem: Evaluation of multivariate complex residues Solution method: Mathematica implementation (C) 2017 Elsevier B.V. All rights reserved.
Keywords:
Computational algebraic geometry
Unitarity calculations
Perturbation theory
Computer algebra
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