The strong coupling, $\alpha_s$, governs perturbative Quantum Chromodynamics (QCD) and is one of the free parameters of the Standard Model. We introduce a new method that allows a precise extraction of $\alpha_s(m_Z)$ from dimensionless ratios of roots of moments of the charm-quark vector correlator. The ratios we use in our analysis have a rather weak logarithmic quark-mass dependence, starting at $\mathcal{O}(\alpha_s^2)$, and can be obtained from experimental data with good precision, since they benefit from positive correlations among the individual experimentally determined moments. We perform a careful and conservative error analysis with special emphasis on uncertainties related to the truncation of perturbation theory, treating the renormalization scales such as to ensure order-by-order convergence. Our final result, with expressions at $\mathcal{O}(\alpha_s^3)$, is $\alpha_s(m_Z)=0.1168\pm 0.0019$.

中文翻译：

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从charmonium sum规则精确确定α

强耦合 $\alpha_s$ 控制微扰量子色动力学 (QCD)，是标准模型的自由参数之一。我们引入了一种新方法，该方法允许从粲夸克矢量相关器矩根的无量纲比中精确提取 $\alpha_s(m_Z)$。我们在分析中使用的比率具有相当弱的对数夸克质量依赖性，从 $\mathcal{O}(\alpha_s^2)$ 开始，并且可以从实验数据中以良好的精度获得，因为它们受益于正相关在各个实验确定的时刻之间。我们进行了仔细而保守的误差分析，特别强调与扰动理论截断相关的不确定性，处理重整化尺度以确保逐阶收敛。我们最终的结果，