Algebraic algorithms for multiloop calculations. The first 15 years. What's next?
High Energy Physics - Phenomenology
2011-04-15 v2 High Energy Physics - Theory
Abstract
The ideas behind the concept of algebraic ("integration-by-parts") algorithms for multiloop calculations are reviewed. For any topology and mass pattern, a finite iterative algebraic procedure is proved to exist which transforms the corresponding Feynman-parametrized integrands into a form that is optimal for numerical integration, with all the poles in D-4 explicitly extracted.
Cite
@article{arxiv.hep-ph/9609429,
title = {Algebraic algorithms for multiloop calculations. The first 15 years. What's next?},
author = {Fyodor V. Tkachov},
journal= {arXiv preprint arXiv:hep-ph/9609429},
year = {2011}
}
Comments
5 pages, PS; 7-11-98: maintenance (PS, misprints, etc.)