Updated estimate of running quark masses

Stimulated by the recent development of the calculation methods of the running quark masses $m_q\left(\mu \right)$ and renewal of the input data, for the purpose of making a standard table of $m_q\left(\mu \right)$ for the convenience of particle physicists, the values of $m_q\left(\mu \right)$ at various energy scales $\mu$ $(\mu =1\mathrm{}$ GeV, $\mu {=m}_c,$ $\mu {=m}_b,$ $\mu {=m}_t$ and so on), especially at $\mu {=m}_Z,$ are systematically evaluated by using the mass renormalization equations and taking into consideration a matching condition at the quark threshold.