MULTIVARIATERESIDUES : A Mathematica package for computing multivariate residues
Abstract
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.
- Publication:
-
Computer Physics Communications
- Pub Date:
- January 2018
- DOI:
- arXiv:
- arXiv:1712.07050
- Bibcode:
- 2018CoPhC.222..250L
- Keywords:
-
- Computational algebraic geometry;
- Unitarity calculations;
- Perturbation theory;
- Computer algebra;
- High Energy Physics - Theory;
- High Energy Physics - Phenomenology;
- Mathematics - Algebraic Geometry;
- Mathematics - Complex Variables
- E-Print:
- 7 pages, 2 figures, contribution to the proceedings of the 13th International Symposium on Radiative Corrections (RADCOR 2017)
