Analysis of e/sup +/e/sup -/ charged-particle inclusive cross section including the higher-order correction of quantum chromodynamics

The new data on charged-particle inclusive cross sections obtained by the TASSO and MARK II detectors in the ${e}^{+}{e}^{\ensuremath{-}}$ annihilation process are analyzed in the framework of perturbative QCD. In the leading logarithmic order there results $\ensuremath{\Lambda}=0.9\ensuremath{-}1.5$ GeV for the scale parameter, but this reduces to $\ensuremath{\Lambda}=0.4\ensuremath{-}0.6$ GeV if the higher-order correction in the $\stackrel{-}{\mathrm{MS}}$ scheme is included. The obtained value of ${\ensuremath{\Lambda}}_{\stackrel{-}{\mathrm{MS}}}$ is slightly larger than but still consistent with that determined from the data of deep-inelastic electron and neutrino scatterings.