Measurement of QCD parameters by using the single dressed gluon approximation

Abstract

This article is based on renormalization analysis by using the single dressed gluon (SDG) approximation. This model is used to measure the coupling constant in perturbative as well as in the nonperturbative part of the QCD theory. We employ the event shape observables 〈B_T〉, 〈B_W〉, 〈1 − T〉, 〈C〉, and 〈ρ〉. By fitting both Monte Carlo and the real data with SDG, we find the mean values \({\alpha _S}\left( {{M_{{Z^0}}}} \right)\) = (0.1215 ± 0.0030) GeV and ν = (1.2685 ± 0.0173) GeV in the perturbative and nonperturbative regions, respectively. Our results are consistent with those obtained from other experiments at different energies. We explain all these features in this paper.