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arxiv: 1912.09294 · v3 · pith:CUCYNRPG · submitted 2019-12-19 · hep-ph · hep-th

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

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classification hep-ph hep-th
keywords integralsamplitudesblock-triangularcalculationscompleteefficientfive-light-partonhadron
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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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