Uncertainties in Estimating the Indirect Production of $B_c$ and Its Excited States Via Top Quark Decays at CERN LHC

Abstract

Main theoretical uncertainties in estimating the indirect production of $(b\bar{c})$-quarkonium ($B_c^{-}$ meson and its excited states) via top quark decays, $t\to (b\bar{c})+c+W^{+}$, are studied within the non-relativistic QCD framework. It is found that the dimensionless reduced decay width for a particular $(b\bar{c})$-quarkonium state, ${\bar{\Gamma }}_n={\Gamma }_n/{\Gamma }_{t\to W^{+}+b}$, is very sensitive to the $c$-quark mass, while the uncertainties from the $b$-quark and $t$-quark masses are small, where $n$ stands for the eight $(b\bar{c})$-quarkonium states up to $\mathcal{O}(v^4)$: $|(b\bar{c}){(}^1{S}_0{)}_1>$, $|(b\bar{c}){(}^3{S}_1{)}_1>$, $|(b\bar{c}){(}^1{P}_1{)}_1>$, $|(b\bar{c}){(}^3{P}_J{)}_1>$ (with $J=(1,2,3)$), $|(b\bar{c}){(}^1{S}_0{)}_{8}g>$ and $|(b\bar{c}){(}^3{S}_1{)}_{8}g>$ respectively. About $10^8$ $t\bar{t}$-pairs shall be produced per year at CERN LHC, if adopting the assumption that all the higher Fock states decay to the ground state with 100% probability, then we shall have $(1.038_{-0.782}^{+1.353})\times 10^5$ $B_c^{-}$ events per year. So the indirect production provides another important way to study the properties of $B_c^{-}$ meson in comparison to that of the direct hadronic production at CERN LHC.

11 pages, 3 figures. References and some more discussions added. To be published in Phys.Lett.B

References in corpus (2)

• 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

Cited by in corpus (7)

• $Z_0$ Boson Decays to $B_c^{(\ast )}$ Meson and Its Uncertainties
• Production of the $P$-Wave Excited $B_c$-States through the $Z^0$ 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
• 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
• Further study on the production of P-wave doubly heavy baryons from Z-boson decays