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Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N$^{3}$LO


Duhr, Claude; Gehrmann, Thomas; Jaquier, Matthieu (2015). Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N$^{3}$LO. Journal of High Energy Physics, 2015(2):77.

Abstract

The factorisation of QCD matrix elements in the limit of two external partons becoming collinear is described by process-independent splitting amplitudes, which can be expanded systematically in perturbation theory. Working in conventional dimensional regularisation, we compute the two-loop splitting amplitudes for all simple collinear splitting processes, including subleading terms in the regularisation parameter. Our results are then applied to derive an analytical expression for the two-loop single-real contribution to inclusive Higgs boson production in gluon fusion to fourth order (N$^{3}$LO) in perturbative QCD.

Abstract

The factorisation of QCD matrix elements in the limit of two external partons becoming collinear is described by process-independent splitting amplitudes, which can be expanded systematically in perturbation theory. Working in conventional dimensional regularisation, we compute the two-loop splitting amplitudes for all simple collinear splitting processes, including subleading terms in the regularisation parameter. Our results are then applied to derive an analytical expression for the two-loop single-real contribution to inclusive Higgs boson production in gluon fusion to fourth order (N$^{3}$LO) in perturbative QCD.

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11 citations in Web of Science®
11 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:2015
Deposited On:12 Feb 2016 16:38
Last Modified:05 Apr 2016 20:02
Publisher:Springer
ISSN:1029-8479
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1007/JHEP02(2015)077
Other Identification Number:arXiv:1411.3587v1

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