Precise Values of Running Quark and Lepton Masses in the Standard Model

Abstract

The precise values of the running quark and lepton masses $m_f^{}(\mu )$, which are defined in the modified minimal subtraction scheme ($\overline{\mathrm{MS}}$) 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.

22 pages, 2 figures, 10 tables, accepted for publication in PRD

References in corpus (15)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Updated Values of Running Quark and Lepton Masses
• The five-loop beta function of Yang-Mills theory with fermions
• Quark mass relations to four-loop order
• Consistent Use of the Standard Model Effective Potential
• Five-loop quark mass and field anomalous dimensions for a general gauge group
• Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops
• On the gauge dependence of the Standard Model vacuum instability scale
• Three-loop SM beta-functions for matrix Yukawa couplings
• Two-loop electroweak threshold corrections in the Standard Model
• Light quark mass effects in the on-shell renormalization constants
• Gauge coupling beta functions to four-loop order in the Standard Model
• Decoupling of heavy quarks at four loops and effective Higgs-fermion coupling
• Matching relations for decoupling in the Standard Model at two loops and beyond

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