Das, G, Moch, S and Vogt, A
(2020)
Approximate four-loop QCD corrections to the Higgs-boson production cross section.
PHYSICS LETTERS B, 807.
p. 135546.
Abstract
We study the soft and collinear (SV) contributions to inclusive Higgs-boson production in gluon-gluon fusion at four loops. Using recent progress for the quark and gluon form factors and Mellin moments of splitting functions, we are able to complete the soft-gluon enhanced contributions exactly in the limit of a large number of colours, and to a sufficiently accurate numerical accuracy for QCD. The four-loop SV contributions increase the QCD cross section at 14 TeV by 2.7% and 0.2% for the standard choices mu_R=m_H and mu_R=m_H/2 of the renormalization scale, and reduce the scale uncertainty to below +-3%. As by-products, we derive the complete delta(1-x) term for the gluon-gluon splitting function at four loops and its purely Abelian contributions at five loops, and provide a numerical result for the single pole of the four-loop gluon form factor in dimensional regularization. Finally we present the closely related fourth-order coefficients D_4 for the soft-gluon exponentiation of Higgs-boson and Drell-Yan lepton-pair production.
| Item Type: | Article |
|---|---|
| Additional Information: | 15 pages, pdflatex, 2 figures |
| Uncontrolled Keywords: | hep-ph, hep-ph |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 29 Oct 2020 09:39 |
| Last Modified: | 18 Jan 2023 23:25 |
| DOI: | 10.1016/j.physletb.2020.135546 |
| Open Access URL: | https://doi.org/10.1016/j.physletb.2020.135546 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3105482 |
Dimensions
Dimensions
