Production of the $P$-Wave Excited $B_c$-States through the $Z^0$ Boson Decays

Abstract

In Ref.[7],we have dealt with the production of the two color-singlet $S$-wave $(c\bar{b})$-quarkonium states $B_c(|(c\bar{b}{)}_1{[}^1{S}_0]>)$ and $B_c^{\ast }(|(c\bar{b}{)}_1{[}^3{S}_1]>)$ through the $Z^0$ boson decays. As an important sequential work, we make a further discussion on the production of the more complicated $P$-wave excited $(c\bar{b})$-quarkonium states, i.e. $|(c\bar{b}{)}_1{[}^1{P}_1]>$ and $|(c\bar{b}{)}_1{[}^3{P}_J]>$ (with $J=(1,2,3)$). More over, we also calculate the channel with the two color-octet quarkonium states $|(c\bar{b}{)}_8{[}^1{S}_0]g>$ and $|(c\bar{b}{)}_8{[}^3{S}_1]g>$, whose contributions to the decay width maybe at the same order of magnitude as that of the color-singlet $P$-wave states according to the naive nonrelativistic quantum chromodynamics scaling rules. The $P$-wave states shall provide sizable contributions to the $B_c$ production, whose decay width is about 20% of the total decay width ${\Gamma }_{Z^0\to B_c}$. After summing up all the mentioned $(c\bar{b})$-quarkonium states' contributions, we obtain ${\Gamma }_{Z^0\to B_c}=235.9_{-122.0}^{+352.8}$ KeV, where the errors are caused by the main uncertainty sources.

8 pages, 5 figures and 2 tables. basic formulae in the appendix are cut off to match the published version, which can be found in v1. to be published in Eur.Phys.J.C

References in corpus (4)

• An Upgraded Version of the Generator BCVEGPY2.0 for Hadronic Production of $B_c$ Meson and Its Excited States
• Production of $B_c$ or ${\bar{B}}_c$ meson and its excited states via $\bar{t}$-quark or $t$-quark decays
• $Z_0$ Boson Decays to $B_c^{(\ast )}$ Meson and Its Uncertainties
• Uncertainties in Estimating the Indirect Production of $B_c$ and Its Excited States Via Top Quark Decays at CERN LHC

Cited by in corpus (15)

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• Next-to-leading order QCD corrections to paired $B_c$ production in $e^{+}{e}^{-}$ annihilation
• 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
• Excited Heavy Quarkonium Production at the LHC through $W$-Boson Decays
• Photoproduction of the heavy quarkonium at the ILC
• Heavy quarkonium wave functions at the origin and excited heavy quarkonium production via top quark decays at the LHC
• Next-to-leading order QCD corrections to the production of $B_c$ and $B_c^{\ast }$ through $W^{+}$-boson decays
• Analysis of double-$J/\psi$ production in $Z$ decay at next-to-leading-order QCD accuracy
• Excited doubly heavy baryons production via top-quark decays
• Comprehensive studies of ${\rm Y}$ inclusive production in $Z$ boson decay
• Impact of $Z\to {\eta }_{c,b}+g+g$ on the inclusive ${\eta }_{c,b}$ meson yield in $Z$-boson decay
• Study of the two-body nonleptonic $B_c(2S)$ weak decays with the QCD factorization approach