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arXiv · 1912.09294

Complete reduction of integrals in two-loop five-light-parton scattering amplitudes

Xin Guan·Xiao Liu·Yan-Qing Ma
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Abstract

We reduce all the most complicated Feynman integrals in two-loop five-light-parton scattering amplitudes to basic master integrals, while other integrals can be reduced even easier. Our results are expressed as systems of linear relations in the block-triangular form, very efficient for numerical calculations. Our results are crucial for complete next-to-next-to-leading order quantum chromodynamics calculations for three-jet, photon, and/or hadron production at hadron colliders. To determine the block-triangular relations, we develop an efficient and general method, which may provide a practical solution to the bottleneck problem of reducing multiloop multiscale integrals.

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Xin Guan, Xiao Liu, Yan-Qing Ma. 2020-09-10. Complete reduction of integrals in two-loop five-light-parton scattering amplitudes. https://doi.org/10.1088/1674-1137%2F44%2F9%2F093106

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