Next-to-Leading-Order QCD Corrections to e^ + e^- -> J/ψ+gg at the B Factories

Abstract

We calculate the next-to-leading-order (NLO) QCD corrections to $e^{+}{e}^{-}\to J/\psi gg$ via color singlet $J/\psi {(}^3-0.8mm{S}_1)$ at the B factories. The result shows that the cross section is enhanced to $0.373\pb$ by a K factor (NLO/LO) of about 1.21. By considering its dependence on the charm quark mass and renormalization scale, the NLO cross section can range from 0.294 to $0.409\pb$. Further including the ${\psi }^{\prime }$ feed-down, $σ(e^+e^-\to \jpsi X(\mathrm{non} c\bar{c}))$ is enhanced by another factor of about 1.29 and reaches $0.482\pb$. In addition, the momentum distributions of $J/\psi$ production and polarization are presented. Recent measurements from Belle agree well with our prediction for the cross section and momentum distribution. It is expected that this process can serve as a very good channel to clarify the $J/\psi$ polarization puzzle by performing further experimental measurements.

published version in PRL, 4 pages, 4 figures, references added

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