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

DOI10.1007/JHEP09(2018)024zbMATH Open1398.81264arXiv1805.01873WikidataQ129326525 ScholiaQ129326525MaRDI QIDQ1797273

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Publication date: 19 October 2018

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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.

Full work available at URL: https://arxiv.org/abs/1805.01873

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