由粲偶素与Mobius畴壁费米子的关联函数的时间矩确定粲夸克质量
Determination of charm quark mass from temporal moments of charmonium correlator with Mobius domain-wall fermion
摘要：
我们从用$n_f = 2 + 1$莫比乌斯畴壁费米子计算的粲偶素电流算符中提取了粲夸克质量和强耦合常数。我们匹配我们的格子计算的时间矩的关联函数与微扰的结果已知的四圈的顺序，并提取的魅夸克质量的不确定性小于1%。使用的时间矩，我们也确认在矢量通道的放大器是一致的R比的实验数据。我们使用JLQCD协作在晶格间距$a$ = 0.080 fm、0.055 fm和0.044 fm处生成的系综。
英文摘要：
We extract the charm quark mass and the strong coupling constant from the charmonium current correlators calculated with $n_f = 2 + 1$ Mobius domain wall fermions. We match our lattice calculation for the temporal moments of the correlator with perturbative result known up to four-loop order, and extract the charm quark mass with uncertainty less than 1%. Using the temporal moments, we also confirm the correlators in the vector channel to be consistent with the experimental data for the R-ratio. We used the ensembles generated by the JLQCD collaboration at lattice spacings $a$ = 0.080 fm, 0.055 fm and 0.044 fm.
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