arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2009.04851hep-ph
收藏

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

Guo-yuan Huang, Shun Zhou

摘要:

在修正的最小减法方案($\overline{\rm MS}$)中定义的夸克和轻子运行质量$m^{}_f(μ)$($μ$为重整化标度,下标$f$为标准模型中所有带电费米子)的精确值,对于费米子质量和味混合的模型建立以及标准模型及其新物理扩展中的精确计算是非常有用的.在本文中,我们计算的运行费米子的质量,考虑到最新的实验结果收集的粒子数据组和最新的理论高阶计算有关的重整化群方程和匹配条件的文献。重点是对运行费米子质量的当前不确定性进行定量估计,并采用线性误差传播方法对不确定性进行量化,并通过蒙特卡罗模拟进行了验证。我们确定了两个主要的不确定性来源,即,一个来自实验输入,另一个来自有限阶循环处的截断。在某些情况下,运行参数的不确定性之间的相关性是显著的。在几个有代表性的能量尺度上运行费米子质量的最终结果制成表格,以供进一步应用。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑