标题： QCD求和规则确定粲夸克质量 显示英文标题

标题： QCD sum rule determination of the charm-quark mass

摘要： 涉及混合反向矩积分核的 QCD求和规则被用来确定在$\bar{MS}$方案中的运行 charmonium 质量。这个确定过程涉及到矢量流关联函数的高能和低能展开。最优的积分核形式为$p(s) = 1 - (s_0/s)^2$，其中$s_0$是微扰 QCD 的开端。这个核增强了已知窄共振的贡献，并减少了$s \simeq 20 - 25 GeV^2$范围内数据的影响。这一特性导致结果对$s_0$变化的敏感性大幅降低，同时减少了较高共振区域实验不确定性的影响力。在 3 GeV 规模下，在$\bar{MS}$方案中得到的 charmonium 质量值为$\bar{m}_c (3 GeV) = 987 \pm 9 MeV$，误差包含了所有不确定性源的平方和。 显示英文摘要

摘要： QCD sum rules involving mixed inverse moment integration kernels are used in order to determine the running charm-quark mass in the $\bar{MS}$ scheme. Both the high and the low energy expansion of the vector current correlator are involved in this determination. The optimal integration kernel turns out to be of the form $p(s) = 1 - (s_0/s)^2$, where $s_0$ is the onset of perturbative QCD. This kernel enhances the contribution of the well known narrow resonances, and reduces the impact of the data in the range $s \simeq 20 - 25 GeV^2$. This feature leads to a substantial reduction in the sensitivity of the results to changes in $s_0$, as well as to a much reduced impact of the experimental uncertainties in the higher resonance region. The value obtained for the charm-quark mass in the $\bar{MS}$ scheme at a scale of 3 GeV is $\bar{m}_c (3 GeV) = 987 \pm 9 MeV$, where the error includes all sources of uncertainties added in quadrature.