Updated values of running quark and lepton masses

Abstract

Reliable values of quark and lepton masses are important for model building at a fundamental energy scale, such as the Fermi scale ${M}_{Z}\ensuremath{\approx}91.2\text{ }\text{ }\mathrm{GeV}$ and the would-be GUT scale ${\ensuremath{\Lambda}}_{\mathrm{GUT}}\ensuremath{\sim}2\ifmmode\times\else\texttimes\fi{}{10}^{16}\text{ }\text{ }\mathrm{GeV}$. Using the latest data given by the Particle Data Group, we update the running quark and charged-lepton masses at a number of interesting energy scales below and above ${M}_{Z}$. In particular, we take into account the possible new physics scale ($\ensuremath{\mu}\ensuremath{\sim}1\text{ }\text{ }\mathrm{TeV}$) to be explored by the CERN LHC and the typical seesaw scales ($\ensuremath{\mu}\ensuremath{\sim}{10}^{9}\text{ }\text{ }\mathrm{GeV}$ and $\ensuremath{\mu}\ensuremath{\sim}{10}^{12}\text{ }\text{ }\mathrm{GeV}$) which might be relevant to the generation of neutrino masses. For illustration, the running masses of three light Majorana neutrinos are also calculated. Our up-to-date tables of running fermion masses are expected to be very useful for the study of flavor dynamics at various energy scales.