Abstract
In this work, we investigate the next-to-leading order (NLO) QCD correction to $J/\ensuremath{\psi}$ associated production with a bottom quark pair from the Higgs boson decay within the nonrelativistic QCD framework. From numerical results, we find that the decay width of process $H\ensuremath{\rightarrow}b+J/\ensuremath{\psi}+\overline{b}$ at leading order (LO) mainly comes from the contribution of the Fock state ${^{3}S}_{1}^{(8)}$, and the NLO QCD corrections significantly enhance the decay width at LO accuracy by about two times. At NLO accuracy, the Fock states ${^{3}S}_{1}^{(8)}$ and ${^{3}P}_{J}^{(8)}$ channels give the main contribution, accounting for about 68% and 29% of the total decay width of $J/\ensuremath{\psi}$ associated production with a bottom quark pair at NLO accuracy from the Higgs boson decay, respectively. Considering the dominant contribution of color octet (CO) channels at NLO accuracy, the inclusive decay process $H\ensuremath{\rightarrow}b+J/\ensuremath{\psi}+\overline{b}+X$ has the potential to be found in future colliders with high energy/luminosity. The study of $J/\ensuremath{\psi}$ associated production with a bottom quark pair from the Higgs boson decay is not only useful to study the mechanism of color-octet, but also to assist in the investigation of the coupling for the Higgs boson with the bottom quark.
Highlights
As the production and decay processes of heavy quarkonium involve both perturbative and nonperturbative behaviors, it is important for the investigation of perturbative and nonperturbative QCD, which attracts a wide attention by phenomenologist and experimentalist
Considering the dominant contribution of color octet (CO) channels at next-to-leading order (NLO) accuracy, the inclusive decay process H → b þ J=ψ þ bþ X has the potential to be found in future colliders with high energy/luminosity
While considering the contribution of NLO corrections, we find the decay width for the process H → b þ J=ψ þ bat leading order (LO) is significantly enhanced by the NLO QCD corrections, and it has the potential to be detected in future colliders with high energy or high luminosity
Summary
As the production and decay processes of heavy quarkonium involve both perturbative and nonperturbative behaviors, it is important for the investigation of perturbative and nonperturbative QCD, which attracts a wide attention by phenomenologist and experimentalist. The total and differential rates predicted of all the possible production and decay channels of the Higgs boson in the SM so far are consistent with those measurements of experiments in the theoretical and experimental uncertainties [32,33], but the couplings of the Higgs boson to the electrons and lighter quarks of the first and second generations are yet to be established either phenomenology or experiments This indicates that the properties of the Higgs boson have not been fully understood, and need to be further studied. While considering the contribution of NLO corrections, we find the decay width for the process H → b þ J=ψ þ bat LO is significantly enhanced by the NLO QCD corrections, and it has the potential to be detected in future colliders with high energy or high luminosity This will be an auxiliary study for the coupling of the Higgs boson with the bottom quark, but will help us to further investigate the production mechanism of heavy quarkonium.
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