Updated Estimate of Running Quark Masses

Stimulated by recent development of the calculation methods of the running quark masses $m_q(\mu )$ and renewal of the input data, for the purpose of making a standard table of $m_q(\mu )$ for convenience of particle physicists, the values of $m_q(\mu )$ at various energy scales $\mu$ ($\mu =1$ GeV, $\mu = m_c$,$\mu=m_b$,$\mu=m_t$andsoon),especiallyat$\mu = m_Z$, are systematically evaluated by using the mass renormalization equations and by taking into consideration a matching condition at the quark threshold.