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In this paper, we calculate the decay widths and branching fractions for the decays Z+ up to O (ₒv^2) accuracy within the framework of nonrelativistic QCD, where H stands for the S-wave quarkonium ₂, J/, ₁, or, respectively. To compare with the leading-order terms, those corrections show good perturbative behavior as expected. It is found that contributions from the next-to-leading order QCD correction O (ₒv^0), the relativistic correction O (ₒ^0v^2) and their joint correction O (ₒv^2) are sizable and comparable to each other, especially for the charmonium case. Thus we need to take all of them into consideration for a sound estimation. For a high luminosity electron-positron collider running around the Z pole, due to Z-boson resonance effect, sizable events could be produced from those rare decay channels.
Wang et al. (Fri,) studied this question.
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