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

TL;DR

This paper calculates the NLO QCD corrections to the decay process of the Higgs boson into a J/psi meson and a bottom quark pair, revealing significant enhancement and dominant color-octet contributions, which are relevant for future collider experiments.

Contribution

It provides the first detailed NLO QCD analysis of Higgs decay into J/psi with a bottom quark pair, highlighting the importance of color-octet channels and potential experimental observability.

Findings

NLO corrections double the decay width at LO.

Color octet channels contribute about 97% at NLO.

Potential for detection at future high-energy colliders.

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 $H \rightarrow b+ J/\psi+\bar{b}$ at leading order (LO) mainly comes from the contribution of the Fock state $^3S^{(8)}_1$, and the NLO QCD corrections significantly enhance the decay width at LO accuracy by about 2 times. At NLO accuracy, the Fock states $^3S^{(8)}_1$ and $^3P^{(8)}_J$ 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.