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

被引：0

作者：

Janko Böhm

Alessandro Georgoudis

Kasper J. Larsen

Hans Schönemann

Yang Zhang

机构：

[1] University of Kaiserslautern,Department of Mathematics

[2] Uppsala University,Department of Physics and Astronomy

[3] University of Southampton,School of Physics and Astronomy

[4] Johannes Gutenberg University,PRISMA Cluster of Excellence

[5] ETH Zürich,Institute for Theoretical Physics

[6] University of California,Kavli Institute for Theoretical Physics

来源：

Journal of High Energy Physics | / 2018卷

关键词：

Differential and Algebraic Geometry; Scattering Amplitudes; Perturbative QCD;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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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