$J/\psi$ associated production with a bottom quark pair from the Higgs boson decay in next-to-leading order QCD

Abstract

In this work, we investigate the next-to-leading order (NLO) QCD correction to $J/\psi$ 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 $H\to b+J/\psi +\bar{b}$ 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 2 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 $J/\psi$ 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 $H\to b+J/\psi +\bar{b}+X$ has the potential to be found in future colliders with high energy/luminosity.} The study of $J/\psi$ 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.

Comments: 11 pages, 6figures, Accepted by Phys. Rev. D