W boson inclusive decays to quarkonium and $B_{c}^{(*)}$ meson at the LHC

Abstract

In this paper, the production rates of quarkonia η c , J/ψ, η b , ϒ and \(B_{c}^{(*)}\) mesons through W + boson decay at the LHC are calculated, at the leading order in both the QCD coupling α s and in v, the typical velocity of the heavy quark inside mesons. It shows that a sizable number of quarkonia and \(B_{c}^{(*)}\) mesons from W + boson decay will be produced at the LHC. Comparison with the predictions by using quark fragmentation mechanism is also discussed. Results show that, for the charmonium production through W + decay, the difference between predictions by the fragmentation mechanism and complete leading order calculation is around 3%, and it is insensitive to the uncertainties of theoretical parameters; however, for the bottomonium and \(B_{c}^{(*)}\) productions, the difference cannot be ignored as the fragmentation mechanism is less applicable here due to the relatively large ratio m b /m w .