Analysis ofe+e−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 $e^{+}{e}^{-}$ annihilation process are analyzed in the framework of perturbative QCD. In the leading logarithmic order there results $\Lambda =0.9-1.5\mathrm{}$ GeV for the scale parameter, but this reduces to $\Lambda =0.4-0.6\mathrm{}$ GeV if the higher-order correction in the $\overline{\mathrm{MS}}$ scheme is included. The obtained value of ${\Lambda }_{\overline{\mathrm{MS}}}$ is slightly larger than but still consistent with that determined from the data of deep-inelastic electron and neutrino scatterings.