Direct Solution of Integration-by-Parts Systems
High Energy Physics - Phenomenology
2018-07-18 v1
Abstract
Systems of integration-by-parts identities play an important role in simplifying the higher-loop Feynman integrals that arise in quantum field theory. Solving these systems is equivalent to reducing integrals containing numerator products of irreducible invariants to a small set of master integrals. I present a new approach to solving these systems that finds direct reduction equations for numerator terms of a given Feynman integral. As a particular example of its power, I show how to obtain reduction equations for arbitrary powers of irreducible invariants, along with their solutions.
Cite
@article{arxiv.1804.00131,
title = {Direct Solution of Integration-by-Parts Systems},
author = {David A. Kosower},
journal= {arXiv preprint arXiv:1804.00131},
year = {2018}
}
Comments
43 pages, 3 figures