Exclusive $eta_b$ decay to double $J/ψ$ at next-to-leading order in $alpha_s$
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Within the nonrelativistic QCD (NRQCD) factorization framework, we calculate the exclusive decay process η_b \to J/ψJ/ψto next-to-leading order in the strong coupling constant, while at leading order in charm quark relative velocity. It is found that this new contribution to the amplitude is comparable in magnitude with the previously calculated relativistic correction piece, but differs by a phase about 90^\circ. Including this new contribution will increase the previous prediction to B(η_b \to J/ψJ/ψ) substantially, thus brightening the discovery potential of this clean hadronic decay channel of η_b in the forthcoming LHC experiment.
v2,16 pages, 3 figures; References added/updated, presentation refined, minor mistakes corrected. The absence of Coulomb divergences in Figure 1b) is stressed
v2,16 pages, 3 figures; References added/updated, presentation refined, minor mistakes corrected. The absence of Coulomb divergences in Figure 1b) is stressed