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

2019/12/31 by Xin Guan, Xiao Liu, Yan-Qing Ma · 3 citations
Physics and Astronomy · #Bottleneck #Feynman diagram #Feynman integral #Hadron #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Reduction (mathematics) #Scattering #Scattering amplitude #hep-ph #hep-th

paper · pdf · doi:10.1088/1674-1137/44/9/093106

published as Chin.Phys.C 44 (2020) 9, 093106 · 8 pages, 2 figures, version published at Chin.Phys.C

openalex publication_date 2020/08/28 · arxiv created 2020/09/10 · arxiv updated 2020/09/11 · openalex created_date 2020/09/14 · openalex updated_date 2026/08/06

Abstract

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.

Citations

• Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals
• Integration by parts: The algorithm to calculate β-functions in 4 loops
• Algorithm FIRE—Feynman Integral REduction
• Differential Equations for Two-Loop Four-Point Functions

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• Reduction of ε-expanded Feynman integrals
• Multiloop corrections for collider processes using auxiliary mass flow
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