English

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

High Energy Physics - Phenomenology 2020-09-11 v3 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1912.09294,
  title  = {Complete reduction of integrals in two-loop five-light-parton scattering amplitudes},
  author = {Xin Guan and Xiao Liu and Yan-Qing Ma},
  journal= {arXiv preprint arXiv:1912.09294},
  year   = {2020}
}

Comments

8 pages, 2 figures, version published at Chin.Phys.C

R2 v1 2026-06-23T12:51:14.176Z