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 N3LO 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.
Highlights
We present analytic results for the partonic cross sections for the production of a Higgs boson via the fusion of two bottom quarks at N3LO in QCD perturbation theory in the five-flavour scheme
We perform a detailed phenomenological analysis of Higgs production in bottom quark fusion, and we investigate the main sources of uncertainty that affect the cross section at N3LO
In a first part of the paper we have focused on the N3LO cross section in the 5FS
Summary
We review some basic facts about Higgs production in bottom quark fusion, and we introduce our notations and conventions. Given the hierarchy between the Higgs and the bottom quark masses, these logarithms may spoil the convergence of the perturbative series and need to be resummed to all orders in perturbation theory This resummation is achieved by working in the five-flavour scheme (5FS), where the bottom quark is treated as massless and interpreted as a parton inside the proton. The partonic coefficient functions depend on the bottom quark pole mass and the logarithms of the factorisation and renormalisation scales: Lf log μ2F m2H and. We will review the results of ref. [7]
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