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arXiv · 1805.01873

Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections

Janko Boehm·Alessandro Georgoudis·Kasper J. Larsen·Hans Schoenemann·Yang Zhang
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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 $73$ master integrals.

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Janko Boehm, Alessandro Georgoudis, Kasper J. Larsen, Hans Schoenemann, Yang Zhang. 2018-05-04. Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections. https://doi.org/10.1007/jhep09(2018)024

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