Approximate four-loop QCD corrections to the Higgs-boson production cross section

A. Vogt (Liverpool U.; Dept. Math.); G. Das (Siegen U.); Inst. Theor. Phys. II); S. Moch (Hamburg U.

Approximate four-loop QCD corrections to the Higgs-boson production cross section

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arxiv 2004.00563 v1 pith:XHVI7UNX submitted 2020-04-01 hep-ph

G. Das (Siegen U.) , S. Moch (Hamburg U. , Inst. Theor. Phys. II) , A. Vogt (Liverpool U. , Dept. Math.) This is my paper · ORCID

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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.

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