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arXiv 1107.4351hep-phhep-ex
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$O(α_s)$对$B$工厂$J/ψ+χ_{cJ}$生产的纠正

$O(α_s)$ corrections to $J/ψ+χ_{cJ}$ production at $B$ factories

Hai-Rong Dong, Feng Feng, Yu Jia

摘要:

我们研究了在NRQCD分解方法中${\cal O}(α_s)$对$e^+e^-\to J/ψ(ψ')+χ_{cJ}$($J=0,1,2$)的修正。这些次至首阶(NLO)校正是在螺旋度振幅的水平上计算的。我们对极化和非极化截面进行了详细的分析,并将我们的预测与$B$工厂的测量结果进行了比较。我们还推导出了每个非线性光学螺旋度振幅的渐近表达式,并证实了早先的猜测,即在$α_s$中的非线性光学,NRQCD短程系数中出现的$\ln^2 (s/m_c^2)$型双对数总是与螺旋度抑制通道相关。

英文摘要:

We investigate the ${\cal O}(α_s)$ corrections to $e^+e^-\to J/ψ(ψ')+χ_{cJ}$ ($J=0,1,2$) in the NRQCD factorization approach. These next-to-leading order (NLO) corrections are calculated at the level of helicity amplitude. We have made a detailed analysis for both polarized and unpolarized cross sections, and compared our predictions with the measurements at the $B$ factories. We also derive the asymptotic expressions for each of the NLO helicity amplitudes, and confirm the earlier speculation that at NLO in $α_s$, the double logarithm of type $\ln^2 (s/m_c^2)$ appearing in the NRQCD short-distance coefficient is always associated with the helicity-suppressed channels.

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