Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections
High Energy Physics - Theory
2018-09-11 v2 High Energy Physics - Phenomenology
Algebraic Geometry
Abstract
We present the powerful module-intersection integration-by-parts (IBP) method, suitable for multi-loop and multi-scale Feynman integral reduction. Utilizing modern computational algebraic geometry techniques, this new method successfully trims traditional IBP systems dramatically to much simpler integral-relation systems on unitarity cuts. We demonstrate the power of this method by explicitly carrying out the complete analytic reduction of two-loop five-point non-planar hexagon-box integrals, with degree-four numerators, to a basis of master integrals.
Keywords
Cite
@article{arxiv.1805.01873,
title = {Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections},
author = {Janko Boehm and Alessandro Georgoudis and Kasper J. Larsen and Hans Schoenemann and Yang Zhang},
journal= {arXiv preprint arXiv:1805.01873},
year = {2018}
}
Comments
minor corrections, updated references