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Durham University

Department of Physics

Staff profile

Publication details for Prof Nigel Glover

Cieri, Leandro, Chen, X., Gehrmann, T., Glover, E.W.N. & Huss, A. (2019). Higgs boson production at the LHC using the qT subtraction formalism at N3LO QCD. Journal of High Energy Physics 2019(2): 96.

Author(s) from Durham


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.