NLO corrections to ${\chi }_{bJ}$ to two-$J\mathrm{/}\psi$ exclusive decay processes

The next-to-leading order QCD corrections for ${\chi }_{bJ}$, the p-wave bottomonium, to $J\mathrm{/}\psi$ pair decay processes are evaluated utilizing NRQCD factorization formalism. The scale dependence of $\chi_{b2}\rightarrow J/\psi J/\psi$ 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 $\chi_{bJ}\rightarrow J/\psi J/\psi$ processes, indicating that they are observable in the LHC and super-B experiments.