Heavy Quarkonium Production at LHC through $W$ Boson Decays

Abstract

The production of the heavy $(c\bar{c})$-quarkonium, $(c\bar{b})$-quarkonium and $(b\bar{b})$-quarkonium states ($(Q\overline{Q^{\prime }})$-quarkonium for short), via the $W^{+}$ semi-inclusive decays, has been systematically studied within the framework of the non-relativistic QCD. In addition to the two color-singlet $S$-wave states, we also discuss the production of the four color-singlet $P$-wave states $|(Q\overline{Q^{\prime }}){(}^1{P}_1{)}_1>$ and $(Q\overline{Q^{\prime }}){(}^3{P}_J{)}_1>$ (with $J=(1,2,3)$) together with the two color-octet components $|(Q\overline{Q^{\prime }}){(}^1{S}_0{)}_8>$ and $|(Q\overline{Q^{\prime }}){(}^3{S}_1{)}_8>$. Improved trace technology is adopted to derive the simplified analytic expressions at the amplitude level, which shall be useful for dealing with the following cascade decay channels. At the LHC with the luminosity $\mathcal{L}\propto 10^{34}c{m}^{-2}{s}^{-1}$ and the center-of-mass energy $\sqrt{S}=14$ TeV, sizable heavy-quarkonium events can be produced through the $W^{+}$ boson decays, i.e. $2.57\times 10^6$ ${\eta }_c$, $2.65\times 10^6$ $J/\Psi$ and $2.40\times 10^6$ $P$-wave charmonium events per year can be obtained; and $1.01\times 10^5$ $B_c$, $9.11\times 10^4$ $B_c^{\ast }$ and $3.16\times 10^4$ $P$-wave $(c\bar{b})$-quarkonium events per year can be obtained. Main theoretical uncertainties have also been discussed. By adding the uncertainties caused by the quark masses in quadrature, we obtain ${\Gamma }_{W^{+}\to (c\bar{c})+c\bar{s}}=524.8_{-258.4}^{+396.3}$ KeV, ${\Gamma }_{W^{+}\to (c\bar{b})+b\bar{s}}=13.5_{-3.29}^{+4.73}$ KeV, ${\Gamma }_{W^{+}\to (c\bar{b})+c\bar{c}}=1.74_{-0.73}^{+1.98}$ KeV and ${\Gamma }_{W^{+}\to (b\bar{b})+c\bar{b}}=38.6_{-9.69}^{+13.4}$ eV.

24 pages, 12 figures. References updated. To be published in Phys.Rev. D. To match the published version

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Cited by in corpus (18)

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• $B_c$ Meson Production around the $Z^0$ Peak at a High Luminosity $e^{+}{e}^{-}$ Collider
• $B_c$ Production in Higgs Boson Decays
• The QCD NLO Corrections to Inclusive $B_c^{\ast }$ Production in $Z^0$ Decays
• Excited Heavy Quarkonium Production via Z^0 Decays at a High Luminosity Collider
• Heavy $P$-wave quarkonium production via Higgs decays
• Excited Heavy Quarkonium Production at the LHC through $W$-Boson Decays
• Heavy quarkonium wave functions at the origin and excited heavy quarkonium production via top quark decays at the LHC
• Exclusive charmonium production from $e^{+}{e}^{-}$ annihilation round the $Z^0$ peak
• Photoproduction of the $B_c^{(\ast )}$ Meson at the LHeC
• BEEC: An event generator for simulating the $B_c$ meson production at an $e^{+}{e}^{-}$ collider
• Next-to-leading order QCD corrections for the charmonium production via the channel $e^{+}{e}^{-}\to H(|c\bar{c}⟩)+\gamma$ round the $Z^0$ peak
• Excited heavy quarkonium production in Higgs boson decays
• Next-to-leading order QCD corrections to the production of $B_c$ and $B_c^{\ast }$ through $W^{+}$-boson decays
• P-wave excited $B_c^{\ast \ast }$ meson photoproduction at the LHeC
• Production of double heavy quarkonium at super $Z$ factory
• Heavy quarkonium production through the top quark rare decays via the channels involving flavor changing neutral currents
• NLO QCD Corrections to Inclusive Charmonium and $B_c$ Meson Production in $W^{+}$ Decays