Integration-by-parts reductions from unitarity cuts and algebraic geometry
High Energy Physics - Theory
2016-07-08 v3 High Energy Physics - Phenomenology
Abstract
We show that the integration-by-parts reductions of various two-loop integral topologies can be efficiently obtained by applying unitarity cuts to a specific set of subgraphs and solving associated polynomial (syzygy) equations.
Keywords
Cite
@article{arxiv.1511.01071,
title = {Integration-by-parts reductions from unitarity cuts and algebraic geometry},
author = {Kasper J. Larsen and Yang Zhang},
journal= {arXiv preprint arXiv:1511.01071},
year = {2016}
}
Comments
5 pages, 1 figure; a Mathematica package implementing the algorithm is attached as an ancillary file; v3: minor changes