Which hadronic decay modes are good for ηb\eta_b searching: double J/ψJ/\psi or something else?


It has been controversial whether ηb\eta_b can be discovered in Tevatron Run 2 through the decay ηbJ/ψJ/ψ\eta_b\to J/\psi J/\psi followed by J/ψμ+μJ/\psi\to \mu^+\mu^-. We clear this controversy by an explicit calculation which predicts Br[ηbJ/ψJ/ψ]{\rm Br}[\eta_b\to J/\psi J/\psi] to be of order 10810^{-8}. It is concluded that observing eta_b through this decay mode in Tevatron Run 2 is rather unrealistic. The eta_b may be observed in the forthcoming LHC experiments through the 4-lepton channel, if the background events can be significantly reduced by imposing some kinematical cuts. By some rough but plausible considerations, we find that the analogous decay processes eta_b to VV, D^*\bar{D}^* also have very suppressed branching ratios, nevertheless it may be worth looking for \eta_b at LHC and Super B factory through the decay modes \eta_b \to K_S K^{\pm}\pi^{\mp}, D^*\bar{D}.Comment: v2; 28 pages, 2 figures. References added, presentation improved. Discussion on possible nonperturbative mechanism for eta_b->VV added, analysis for eta_b->VP updated by incoprating the U-spin violation effec

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