Complete reduction of integrals in two-loop five-light-parton scattering amplitudes *
Xin Guan, Xiao Liu, Yan-Qing Ma
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.
Topics & Concepts
PhysicsScattering amplitudeFeynman diagramQuantum chromodynamicsReduction (mathematics)ScatteringHadronFeynman integralBottleneckAmplitudeQuantum electrodynamicsParticle physicsOrder (exchange)Order of integration (calculus)QuantumMathematical physicsQuantum mechanicsRecoilStatistical physicsQuantum field theoryBasis (linear algebra)Production (economics)Theoretical physicsScattering theoryDimensional reductionUnitarityParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsHigh-Energy Particle Collisions Research