Integration-by-parts reductions from unitarity cuts and algebraic geometry

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.

Comments: 5 pages, 1 figure; a Mathematica package implementing the algorithm is attached as an ancillary file; v3: minor changes