Charmed-hadron fragmentation functions from CERN LEP1 revisited

In Phys. Rev. D 58, 014014 (1998) and 71, 094013 (2005), we determined nonperturbative $D^0$, $D^{+}$, $D^{*+}$, $D_s^{+}$, and ${\Lambda }_c^{+}$ fragmentation functions, both at leading and next-to-leading order in the $\overline{\mathrm{MS}}$ factorization scheme, by fitting $e^{+}{e}^{-}$ data taken by the OPAL Collaboration at CERN LEP1. The starting points for the evolution in the factorization scale $\mu$ were taken to be ${\mu }_0=2m_Q$, where $Q=c$, $b$. For the reader’s convenience, in this paper, we repeat this analysis for ${\mu }_0=m_Q$, where the flavor thresholds of modern sets of parton density functions are located.