MultivariateResidues - a Mathematica package for computing multivariate residues
Kasper J. Larsen, Robbert Rietkerk
TL;DR
The paper introduces the Mathematica package MultivariateResidues, enabling efficient computation of multivariate residues crucial for scattering amplitude calculations in theoretical physics.
Contribution
It provides a novel computational tool leveraging algebraic geometry methods to evaluate multivariate residues in physics applications.
Findings
Efficient evaluation of multivariate residues demonstrated
Applications to scattering amplitude computations shown
Supports extraction of master integral coefficients
Abstract
We present the Mathematica package MultivariateResidues, which allows for the efficient evaluation of multivariate residues based on methods from computational algebraic geometry. Multivariate residues appear in several contexts of scattering amplitude computations. Examples include applications to the extraction of master integral coefficients from maximal unitarity cuts, the construction of canonical bases of loop integrals and the construction of tree amplitudes from scattering equations.
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