标题： 更新的夸克和轻子参数在不同尺度下 显示英文标题

标题： Updated Running Quark and Lepton Parameters at Various Scales

摘要： 鉴于最近的粒子数据组（PDG）发布，我们重新审视了在不同能量尺度下的运行夸克和轻子Yukawa耦合，以及夸克混合参数。 2024年PDG对低能费米子质量的确定具有显著更小的不确定性，这是由于系统误差的估计减少，相较于2022年分析中的更为保守的处理方法。 为了评估这些变化的影响，我们在标准模型（SM）及其最小超对称扩展（MSSM）框架内，分别使用2022年和2024年的数据集，给出了运行参数。 演化值及其相关的$1\sigma$不确定性，在 SM 框架下给出于基准尺度$M_Z$和$10^3$，$3\cdot 10^3$，$10^4$，$10^5$，$10^7$，$10^9$，$10^{12}$和$10^{16}$GeV。 在MSSM中，我们还提供了不同选择的$\tan\beta$在GUT尺度的结果，假设超对称破缺尺度为3和10 TeV，包括一种近似方法来考虑超对称环状阈值修正。我们进一步讨论了更新结果对于构建和检验超出标准模型理论的影响。 显示英文摘要

摘要： In the light of the recent Particle Data Group (PDG) release, we revisit the running quark and lepton Yukawa couplings, together with the quark mixing parameters, across a range of energy scales. The 2024 PDG determinations of low-energy fermion masses feature significantly smaller uncertainties, resulting from a reduced estimate of systematic errors compared to the more conservative treatment in the 2022 analysis. To assess the impact of these changes, we present running parameters obtained using both the 2022 and 2024 datasets, within the frameworks of the Standard Model (SM) and its minimal supersymmetric extension (MSSM). The evolved values, along with their associated $1\sigma$ uncertainties, are given within the SM framework at benchmark scales of $M_Z$ and $10^3$, $3\cdot 10^3$, $10^4$, $10^5$, $10^7$, $10^9$, $10^{12}$, and $10^{16}$ GeV. Within the MSSM, we additionally provide GUT-scale results for different choices of $\tan\beta$, assuming supersymmetry breaking scales of 3 and 10 TeV, including an approximate way for taking supersymmetric loop threshold corrections into account. We furthermore discuss implications of the updated results for constructing and testing theories beyond the SM.