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arXiv 0901.0117hep-ph
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B工厂对e^ + e^- -> J/E +gg的次领先阶QCD修正

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

Bin Gong, Jian-Xiong Wang

摘要:

我们计算了B工厂中通过色单态$J/ψ(^3{-0.8mm}S_1)$对$e^+e^-\to J/ψg g$的次首阶QCD修正。结果表明,通过约1.21的K因子(NLO/LO),截面增强到$0.373\pb$。考虑到它与粲夸克质量和重整化标度的关系,非线性光学截面的范围可以从0.294到$0.409\pb$。进一步包括$ψ^\prime$馈入,$σ(e^+e^-\to \jpsi X(\mathrm{non} c\bar{c}))$被增强约1.29的另一个因子并达到$0.482\pb$。此外,还给出了$J/ψ$产生和极化的动量分布。Belle最近的测量结果与我们对截面和动量分布的预测吻合得很好。预计这一过程可以作为一个很好的渠道,以澄清$J/ψ$偏振之谜,通过执行进一步的实验测量。

英文摘要:

We calculate the next-to-leading-order (NLO) QCD corrections to $e^+e^-\to J/ψg g$ via color singlet $J/ψ(^3{-0.8mm}S_1)$ 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 $ψ^\prime$ 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 $J/ψ$ 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 $J/ψ$ polarization puzzle by performing further experimental measurements.

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