Year: 2026
Type: preprint
Abstract: We determine the universal singular structure of rapidity distributions for color-singlet production in hadron collisions through next-to-next-to-next-to-leading order (N3LO) in QCD. Our result captures the full singular contributions as either partonic momentum fraction approaches one, including the delta-function terms, while retaining the exact dependence on the other. The essential new ingredient is the complete calculation of the three-loop quark and gluon rapidity beam-function matching kernels. Our calculation is based on the strict collinear expansion of the partonic cross sections for Higgs boson and Drell-Yan production. We represent our results in terms of generalized polylogarithms as well as numerical series expansions. The resulting N3LO partonic coefficient functions apply to arbitrary color-singlet production processes with the process dependence entering through the hard function, which encodes the virtual corrections to the Born process.
Source: arXiv (Cornell University)
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G2371548206, G303061748, G5570207115
OpenAlex ID: W7222918871