Higgs production in bottom quark fusion: Matching the 4- and 5-flavour schemes to third order in the strong coupling

Abstract

We present analytic results for the partonic cross sections for the production of a Higgs boson via the fusion of two bottom quarks at N${}^3$LO in QCD perturbation theory in the five-flavour scheme. We combine this perturbative result with NLO accurate predictions in the four-flavour scheme that include the full bottom quark mass dependence by appropriately removing any double-counting stemming from contributions included in both predictions. We thereby obtain state-of-the-art predictions for the inclusive production probability of a Higgs boson via bottom quark fusion at hadron colliders.

28 pages, 6 figures

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