Renormalization scheme dependence in analytic approach to perturbative QCD

We further develop the approach recently used to construct an analytic ghost-free model for the QCD running coupling based on the requirement of the Q2-analyticity and apply it to the process of e+e− annihilation into hadrons to study the renormalization scheme dependence of the R(s) cross-section ratio. By transforming the relevant QCD corrections up to the three-loop level into the “analytized” form we show that the Ran(s) expression thus obtained is remarkably stable (as compared to the conventional perturbative approach) with respect to the renormalization scheme and higher loop dependence for the whole low-energy region. At the same time, the analytic approach provides a good agreement with smeared experimental data already in the first (loop) approximation.