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Journal of High Energy Physics

, 2019:96 | Cite as

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

  • Leandro CieriEmail author
  • Xuan Chen
  • Thomas Gehrmann
  • E. W. N. Glover
  • Alexander Huss
Open Access
Regular Article - Theoretical Physics

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.

Keywords

QCD Phenomenology 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.INFN, Sezione di Milano-BicoccaMilanoItaly
  2. 2.Physik-InstitutUniversität ZürichZurichSwitzerland
  3. 3.Institute for Particle Physics PhenomenologyDurham UniversityDurhamU.K.
  4. 4.Theoretical Physics DepartmentCERNGeneva 23Switzerland

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