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.

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

References in corpus (4)

• Algorithm FIRE -- Feynman Integral REduction
• FIRE5: a C++ implementation of Feynman Integral REduction
• A novel approach to integration by parts reduction
• Integration-by-parts identities from the viewpoint of differential geometry

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