期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP09(2018)024
关键词
Differential and Algebraic Geometry; Scattering Amplitudes; Perturbative QCD
资金
- Swiss National Science Foundation (Ambizione grant) [PZ00P2 161341]
- National Science Foundation [NSF PHY17-48958]
- European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme [725110]
- Swiss National Science Foundation through the NCCR SwissMap [141869]
- Knut and Alice Wallenberg Foundation [2015-0083]
- ERC-2014-CoG [648630 IQFT]
- Project II.5 of the German Research Foundation (DFG) [SFB-TRR 195]
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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