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

Authors: Janko Böhm, Alessandro Georgoudis, Kasper J. Larsen, Hans Schönemann, Yang Zhang Preprint number: UUITP-16/18 We present the powerful module-intersection integration-by-parts (IBP) method, for multi-loop Feynman integral reduction. With modern computational algebraic geome- try techniques, this new method manages to trim traditional IBP systems dramatically to much simpler integral-relation systems on unitarity cuts. We demonstrate the power of this method by the complete analytic reduction of two-loop five-point non-planar hexagon-box integrals, with degree-four numerators, to the 73 master integrals.