Next-to-leading order QCD corrections for the charmonium production via the channel e<superscript>+</superscript>e<superscript>-</superscript> → H(|c...c〉)) + γ around the Z<superscript>0</superscript> peak.

In our previous work [, Phys. Rev. D 88, 074021 (2013)], it has been found that sizable charmonium events can be produced via the channel e+e-→γ*/Z0→H(|cc〉)+γ at the suggested super Z factory, where H(|cc〉) represents the dominant color-singlet S-wave and P-wave charmonium states J/ψ, ηc, hc and XcJ (J=0, 1, 2), respectively. As an important step forward, in the present paper, we present a next-to-leading order (NLO) QCD analysis within the framework of nonrelativistic QCD. Different from the case of B factory in which the single charmonium production is dominated by the channel via a virtual photon, at the super Z factory, its cross section is dominated by the channel via a Z0 boson. Estimations up to NLO level are done under the condition of both the B factory and the super Z factory. We observe that the NLO distributions have the same shapes as those of LO distributions, but their differences are sizable. This indicates that a NLO calculation is necessary and important to achieve a more accurate estimation. Due to the Z0 boson resonance effect, at the super Z factory with a high luminosity up to 1036 cm-2 s-1, when summing all the color-singlet states' contributions together, one may observe about 8.0×104 charmonium events via the channel e+e-→Z0→H(|cc〉)+γ in one operation year. Then, such a super Z factory could provide another useful platform to study the charmonium properties, even for the higher charmonium states. [ABSTRACT FROM AUTHOR]