NLO corrections to $χ_{bJ}$ to two-$J/ψ$ exclusive decay processes

The next-to-leading order QCD corrections for $χ_{bJ}$, the p-wave bottomonium, to $J/ψ$ pair decay processes are evaluated utilizing NRQCD factorization formalism. The scale dependence of $χ_{b2}\rightarrow J/ψJ/ψ$ process is depressed with NLO corrections, and hence the uncertainties in the leading order results are greatly reduced. The total branch ratios are found to be the order of $10^{-5}$ for all three $χ_{bJ}\rightarrow J/ψJ/ψ$ processes, indicating that they are observable in the LHC and super-B experiments.

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