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

Understand

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.