Which hadronic decay modes are good for ${\eta }_b$ searching: double $J/\psi$ or something else?

Abstract

It has been controversial whether ${\eta }_b$ can be discovered in Tevatron Run 2 through the decay ${\eta }_b\to J/\psi J/\psi$ followed by $J/\psi \to {\mu }^{+}{\mu }^{-}$. We clear this controversy by an explicit calculation which predicts $\mathrm{Br}[{\eta }_b\to J/\psi J/\psi ]$ to be of order $10^{-8}$. 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 η_b at LHC and Super B factory through the decay modes η_b \to K_S K^{\pm}π^{\mp}, D^*\bar{D}.

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 effect

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• Hunting eta_b through radiative decay into J/psi
• Exclusive $et{a}_b$ decay to double $J/\psi$ at next-to-leading order in $alph{a}_s$
• Curing the unphysical behaviour of NLO quarkonium production at the LHC and its relevance to constrain the gluon PDF at low scales
• Pseudoscalar Quarkonium Exclusive Decays to Vector Meson Pair
• Decay eta_b->J/ψJ/ψin light cone formalism
• Relativistic Corrections to the Exclusive Decays of C-even Bottomonia into S-wave Charmonium Pairs
• Exclusive decay of ${\rm Y}$ into $J/\psi +{\chi }_{c0,1,2}$
• Exclusive decay of P-wave Bottomonium into double J/ψ
• The Exclusive Decay of Upsilon into $h_c$, the $X(3940)$ and $X(4160)$
• Evidence of ${\rm Y}(1S)\to J/\psi +{\chi }_{c1}$ and search for double-charmonium production in ${\rm Y}(1S)$ and ${\rm Y}(2S)$ decays
• NLO corrections to ${\chi }_{bJ}$ to two-$J/\psi$ exclusive decay processes
• Inclusive decays of ${\eta }_b$ into $S$- and $P$-wave charmonium states
• Relativistic corrections to ${\rm Y}$ exclusive decay into double $S-$wave charmonia
• Improved measurements of branching fractions for ${\eta }_c\to \varphi \varphi$ and $\omega \varphi$
• "Hard-scattering" approach to very hindered magnetic-dipole transitions in quarkonium
• On the eta(b) => J/psi J/psi decay
• Exotic charmonium spectroscopy with CMS