Approximate four-loop QCD corrections to the Higgs-boson production cross section
We study the soft and collinear 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 li...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2020-08-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269320303506 |
| _version_ | 1818047656637759488 |
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| author | G. Das S. Moch A. Vogt |
| author_facet | G. Das S. Moch A. Vogt |
| author_sort | G. Das |
| collection | DOAJ |
| description | We study the soft and collinear 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 soft and virtual contributions increase the QCD cross section at 14 TeV by 2.7% and 0.2% for the standard choices μR=mH and μR=mH/2 of the renormalization scale, and reduce the scale uncertainty to below ±3%. As by-products, we derive the complete δ(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 D4 for the soft-gluon exponentiation of Higgs-boson and Drell-Yan lepton-pair production. |
| first_indexed | 2024-12-10T10:09:16Z |
| format | Article |
| id | doaj.art-556598cc685f44828b9f4b1ad9ea2891 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-10T10:09:16Z |
| publishDate | 2020-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-556598cc685f44828b9f4b1ad9ea28912022-12-22T01:53:11ZengElsevierPhysics Letters B0370-26932020-08-01807135546Approximate four-loop QCD corrections to the Higgs-boson production cross sectionG. Das0S. Moch1A. Vogt2Theoretische Physik 1, Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Strasse 3, D-57068 Siegen, GermanyII. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, D-22761 Hamburg, Germany; Corresponding author.Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, United KingdomWe study the soft and collinear 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 soft and virtual contributions increase the QCD cross section at 14 TeV by 2.7% and 0.2% for the standard choices μR=mH and μR=mH/2 of the renormalization scale, and reduce the scale uncertainty to below ±3%. As by-products, we derive the complete δ(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 D4 for the soft-gluon exponentiation of Higgs-boson and Drell-Yan lepton-pair production.http://www.sciencedirect.com/science/article/pii/S0370269320303506 |
| spellingShingle | G. Das S. Moch A. Vogt Approximate four-loop QCD corrections to the Higgs-boson production cross section Physics Letters B |
| title | Approximate four-loop QCD corrections to the Higgs-boson production cross section |
| title_full | Approximate four-loop QCD corrections to the Higgs-boson production cross section |
| title_fullStr | Approximate four-loop QCD corrections to the Higgs-boson production cross section |
| title_full_unstemmed | Approximate four-loop QCD corrections to the Higgs-boson production cross section |
| title_short | Approximate four-loop QCD corrections to the Higgs-boson production cross section |
| title_sort | approximate four loop qcd corrections to the higgs boson production cross section |
| url | http://www.sciencedirect.com/science/article/pii/S0370269320303506 |
| work_keys_str_mv | AT gdas approximatefourloopqcdcorrectionstothehiggsbosonproductioncrosssection AT smoch approximatefourloopqcdcorrectionstothehiggsbosonproductioncrosssection AT avogt approximatefourloopqcdcorrectionstothehiggsbosonproductioncrosssection |