Higgs boson production at the LHC using the qT subtraction formalism at N3LO QCD

Cieri, Leandro; Chen, X.; Gehrmann, T.; Glover, E.W.N.; Huss, A.

Abstract

We consider higher-order QCD corrections to Higgs boson production through gluon-gluon fusion in the large top quark mass limit in hadron collisions. We extend the transverse-momentum (qT ) subtraction method to next-to-next-to-next-to-leading order (N3LO) and combine it with the NNLO Higgs-plus-jet calculation to numerically compute differential infrared-safe observables at N3LO for Higgs boson production in gluon fusion. To cancel the infrared divergences, we exploit the universal behaviour of the associated qT distributions in the small-qT region. We document all the necessary ingredients of the transverse-momentum subtraction method up to N3LO. The missing third-order collinear functions, which contribute only at qT = 0, are approximated using a prescription which uses the known result for the total Higgs boson cross section at this order. As a first application of the third-order qT subtraction method, we present the N3LO rapidity distribution of the Higgs boson at the LHC.

Citation

Cieri, L., Chen, X., Gehrmann, T., Glover, E., & Huss, A. (2019). Higgs boson production at the LHC using the qT subtraction formalism at N3LO QCD. Journal of High Energy Physics, 2019(2), Article 96. https://doi.org/10.1007/jhep02%282019%29096

• Journal Article Type: Article
• Acceptance Date: Feb 2, 2019
• Online Publication Date: Feb 14, 2019
• Publication Date: Feb 14, 2019
• Deposit Date: Feb 22, 2019
• Publicly Available Date: Feb 22, 2019
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2019
• Issue: 2
• Article Number: 96
• DOI: https://doi.org/10.1007/jhep02%282019%29096
• Public URL: https://durham-repository.worktribe.com/output/1307334