The Singular Structure of Rapidity Distributions for Color-Singlet Production at N3LO
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.
Related
- Exclusive dimuon production and coherent charmonium photoproduction at forward rapidity in ultra-peripheral Pb–Pb collisions at √(sNN)=5.36 TeV
- Probing the Single Production of First-Generation Singlet Vector-like Leptons at Future e+e- Colliders
- From Harmonic Oscillators to Multiplicity Distributions in Particle Production Processes
- Spin - resolved momentum distributions and vortex evolution in multiphoton pair production within a modified two-level model
- Probing Orbital Angular Momentum Distributions in Elastic Vector Meson Production in Longitudinally Polarized Electron--Proton Scattering
BibTeX
@misc{devoto2026singular,
title = {{The Singular Structure of Rapidity Distributions for Color-Singlet Production at N3LO}},
author = {Federica Devoto and Bernhard Mistlberger and Gherardo Vita},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.22533},
eprint = {2610.22533},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.22533},
}
RIS
TY - UNPB
TI - The Singular Structure of Rapidity Distributions for Color-Singlet Production at N3LO
AU - Federica Devoto
AU - Bernhard Mistlberger
AU - Gherardo Vita
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2610.22533
UR - https://arxiv.org/abs/2610.22533
AB - 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.
ER -