Heavy $P$-wave quarkonium production via Higgs decays

Abstract

The production of the heavy quarkonium, i.e., $|(c\bar{b})[n]⟩$ (or $|(b\bar{c})[n]⟩$), $|(c\bar{c})[n]⟩$, and $|(b\bar{b})[n]⟩$- quarkonium [$|(Q\overline{Q^{\prime }})[n]⟩$-quarkonium for short], through Higgs $H^0$ boson semiexclusive decays is evaluated within the NRQCD framework, where $[n]$ stands for the production of the two color-singlet $S$-wave states, $|(Q\overline{Q^{\prime }}){[}^1{S}_0{]}_{\text{1}}⟩$ and $|(Q\overline{Q^{\prime }}){[}^3{S}_1{]}_{\text{1}}⟩$, the production of the four color-singlet $P$-wave states, i.e., $|(Q\overline{Q^{\prime }}){[}^1{P}_0{]}_{\text{1}}⟩$, $|(Q\overline{Q^{\prime }}){[}^3{P}_J{]}_{\text{1}}⟩$ (with $J=[0,1,2]$). Moreover, according to the velocity scaling rule of the NRQCD, the production of the two color-octet components, $|(Q\overline{Q^{\prime }})g{[}^1{S}_0{]}_{\text{8}}⟩$ and $|(Q\overline{Q^{\prime }})g{[}^3{S}_1{]}_{\text{8}}⟩$, are also taken into account. The "improved trace technology" to derive the simplified analytic expressions at the amplitude level is adopted, which shall be useful for dealing with these decay channels. If all higher heavy quarkonium states decay completely to the ground states, it should be obtained $\Gamma (H^0\to |(c\bar{b}){[}^1{S}_0{]}_{\text{1}}⟩)=15.14$ KeV, $\Gamma (H^0\to |(c\bar{c}){[}^1{S}_0{]}_{\text{1}}⟩)=1.547$ KeV, and $\Gamma (H^0\to |(b\bar{b}){[}^1{S}_0{]}_{\text{1}}⟩)=1.311$ KeV. The production of $5.6\times 10^5$ Bc meson, $4.7\times 10^4$ charmonium meson, and $4.9\times 10^4$ bottomonium meson per year in Higgs decays at the HE/HL-LHC can be obtained.

arXiv comment9 pages;5 figures. arXiv admin note: substantial text overlap with arXiv:1505.03275; text overlap with arXiv:0711.1898, arXiv:0805.4511, arXiv:1512.01327, arXiv:hep-ph/0502155, arXiv:1504.08236 by other authors

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• Inclusive productions of ${\rm Y}(1S,2S,3S)$ and ${\chi }_b(1P,2P,3P)$ via the Higgs boson decay
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