Integration-by-parts reductions from the viewpoint of computational algebraic geometry
High Energy Physics - Theory
2016-07-08 v2 High Energy Physics - Phenomenology
Abstract
Integration-by-parts reductions play a central role in perturbative QFT calculations. They allow the set of Feynman integrals contributing to a given observable to be reduced to a small set of basis integrals, and they moreover facilitate the computation of those basis integrals. We introduce an efficient new method for generating integration-by-parts reductions. This method simplifies the task by making use of generalized-unitarity cuts and turns the problem of finding the needed total derivatives into one of solving certain polynomial (so-called syzygy) equations.
Keywords
Cite
@article{arxiv.1606.09447,
title = {Integration-by-parts reductions from the viewpoint of computational algebraic geometry},
author = {Kasper J. Larsen and Yang Zhang},
journal= {arXiv preprint arXiv:1606.09447},
year = {2016}
}
Comments
Proceedings for Loops and Legs in Quantum Field Theory, 24-29 April 2016, Leipzig, Germany. 8 pages, 1 figure; v2: minor changes