论文标题
$ j/ψ$ plus $ j/ψ$ plus $η_c$生产$ b $工厂的近临时QCD校正
Next-to-next-to-leading-order QCD corrections to $J/ψ$ plus $η_c$ production at the $B$ factories
论文作者
论文摘要
在本文中，我们将$ e^+e^ - \在$ b $工厂计算为$ e^+e^ - \ $ e^+e^ - \ $ e^+e^ - \的临时临时订单（NNLO）QCD校正。包括NNLO校正之后，$ E^+E^ - \至J/ψ+η_c$的横截面的增强大约为$ 17 \％$，并且预测的扰动序列显示了收敛行为。还发现，Bottom Quark的贡献始于$α_s^3 $ - 订单，约为$ 2.4 \％\％$的总预测。横截面的重新归一化量表$μ_r$依赖性在NNLO级别降低，但预测对Charm Quark Mass $ M_C $敏感。通过考虑重新归一化量表$μ_r$，符号夸克质量$ m_c $和NRQCD分解量表$μ_λ$引起的不确定性，我们的预测显示了与Babar和Belle测量的一致性。
In this paper, we calculate the next-to-next-to-leading-order (NNLO) QCD corrections to $e^+e^- \to J/ψ+η_c$ at the $B$ factories. After including the NNLO corrections, the cross section of $e^+e^- \to J/ψ+η_c$ is enhanced by about $17\%$, and the perturbative series of the prediction shows the convergent behavior. It is also found that the contribution from bottom quark starts at the $α_s^3$-order, which is about $2.4\%$ of the total prediction. The renormalization scale $μ_R$ dependence of the cross section is reduced at the NNLO level, but the prediction is sensitive to the charm quark mass $m_c$. By considering the uncertainties caused by renormalization scale $μ_R$, charm quark mass $m_c$ and the NRQCD factorization scale $μ_Λ$, our prediction shows agreement with the BABAR and BELLE measurements within errors.
