MultivariateResidues : a Mathematica package for computing multivariate residues. (English) Zbl 07693048
Summary: 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.
Keywords:
computational algebraic geometry; unitarity calculations; perturbation theory; computer algebraReferences:
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