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The precise values of the running quark and lepton masses $m^{}_f(mu)$, which are defined in the modified minimal subtraction scheme ($overline{rm MS}$) with $mu$ 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.
Reliable values of quark and lepton masses are important for model building at a fundamental energy scale, such as the Fermi scale M_Z approx 91.2 GeV and the would-be GUT scale Lambda_GUT sim 2 times 10^16 GeV. Using the latest data given by the Par
Constituent quark masses can be determined quite well from experimental data in several ways and one can obtain fairly accurate values for all six $m_q$. The strong quark-meson coupling $g=2pi /sqrt{3}$ arises from the quark-level linear $sigma$ mode
We explore a simple parameterization of new physics that results in an ultraviolet complete gauge-quark sector of the Standard Model. Specifically, we add an antiscreening contribution to the beta functions of the gauge couplings and a flavor-indepen
Assuming that the leptons and quarks other than top are massless at tree level, we show that their masses may be induced by loops involving the top quark. As a result, the generic features of the fermion mass spectrum arise from combinations of loop
We consider an extension of the standard model with three Higgs doublet model and $S_3times mathbb{Z}_2$ discrete symmetries. Two of the scalar doublets are inert due to the $mathbb{Z}_2$ symmetry. We have calculated all the mass spectra in the scala