论文标题
标准模型中运行夸克和轻子质量的精确值
Precise Values of Running Quark and Lepton Masses in the Standard Model
论文作者
论文摘要
运行Quark和Lepton质量的精确值$ m^{} _ f（μ）$，这些$在修改后的最小减法方案（$ \ overline {\ rm MS} $）中定义，$μ$是重新分配量表，是重新分配量表，并将其引用到所有有用的fermions and for标准模型（对标准模型中），并且是标准模型的构建（以及对标准模型的构建），并且是标准模型（对标准模型），并且是标准模型（是否是sm）对于SM或其新物理扩展中的精确计算。在本文中，我们通过考虑粒子数据组收集的最新实验结果以及相关的重新分配组方程和文献中匹配条件的最新理论高阶计算来计算运行费米昂。重点放在运行费米质量的当前不确定性的定量估计上，并采用了线性误差传播方法来量化不确定性，这是由蒙特卡洛模拟证明的。我们确定了两个不确定性的主要来源，即来自实验输入的一种，另一个来自有限级回路处的截断。在某些情况下，运行参数的不确定性之间的相关性可能很显着。在几个代表性的能量量表上运行费米质量的最终结果是用于进一步应用的。
The precise values of the running quark and lepton masses $m^{}_f(μ)$, which are defined in the modified minimal subtraction scheme ($\overline{\rm MS}$) with $μ$ being the renormalization scale and the subscript $f$ referring to all the charged fermions in the Standard Model (SM), are very useful for the model building of fermion masses and flavor mixing and for the precision calculations in the SM or its new-physics extensions. In this paper, we calculate the running fermion masses by taking account of the up-to-date experimental results collected by Particle Data Group and the latest theoretical higher-order calculations of relevant renormalization-group equations and matching conditions in the literature. The emphasis is placed on the quantitative estimation of current uncertainties on the running fermion masses, and the linear error propagation method is adopted to quantify the uncertainties, which has been justified by the Monte-Carlo simulations. We identify two main sources of uncertainties, i.e., one from the experimental inputs and the other from the truncations at finite-order loops. The correlations among the uncertainties of running parameters can be remarkable in some cases. The final results of running fermion masses at several representative energy scales are tabulated for further applications.
