MultivariateResidues - a Mathematica package for computing multivariate residues
arXiv:1712.07050 · doi:10.22323/1.290.0021
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.
7 pages, 2 figures, contribution to the proceedings of the 13th International Symposium on Radiative Corrections (RADCOR 2017)
References in corpus (4)
- Algorithmic transformation of multi-loop master integrals to a canonical basis with CANONICA
- Fuchsia: a tool for reducing differential equations for Feynman master integrals to epsilon form
- epsilon: A tool to find a canonical basis of master integrals
- MultivariateResidues: a Mathematica package for computing multivariate residues