Abstract
We present the inclusive cross section at next-to-next-to-next-to-leading order (N^{3}LO) in perturbative QCD for the production of a Higgs boson via bottom-quark fusion. We employ the five-flavor scheme, treating the bottom quark as a massless parton while retaining a nonvanishing Yukawa coupling to the Higgs boson. We find that the dependence of the hadronic cross section on the renormalization and factorization scales is substantially reduced. For judicious choices of the scales the perturbative expansion of the cross section shows a convergent behavior. We present results for the N^{3}LO cross section at various collider energies. In comparison to the cross section obtained from the Santander matching of the four- and five-flavor schemes, we predict a slightly higher cross section, though the two predictions are consistent within theoretical uncertainties.
Highlights
With the discovery of the Higgs boson by the experiments at the Large Hadron Collider (LHC) at CERN [1,2] particle physics has entered a new era
In the four-flavor scheme (4FS), the bottom quark is treated as a massive quark, which decouples from the evolution of the strong coupling constant and the parton density functions (PDFs) described by the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) equation
Letter, we present for the first time the complete result for the inclusive cross section for Higgs production in bottomquark fusion at N3LO in the 5FS and investigate its phenomenological implications
Summary
With the discovery of the Higgs boson by the experiments at the Large Hadron Collider (LHC) at CERN [1,2] particle physics has entered a new era. The simple structure of the LO process makes it possible to compute the inclusive cross section to high orders in perturbation theory, and both next-to-leading order (NLO) [17,18] and next-tonext-to-leading order (NNLO) [19] results are available. Letter, we present for the first time the complete result for the inclusive cross section for Higgs production in bottomquark fusion at N3LO in the 5FS and investigate its phenomenological implications.
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