Testing of scale dependence in perturbative QCD series

D.S. Babanin and O.P. Solovtsova

Gomel State Technical University , Belarus

A key problem in making precise perturbative QCD predictions, which connects with the requirement of renormalization group invariance, is the uncertainty in fixing the renormalization scale. We study the scale dependence of fresh four-loop QCD corrections to some processes both within the standard perturbative and singularity-free analytic perturbation theory. We demonstrate that within the analytic approach the results are practically renormalization scale independent and lead to rather different Q^2 evolution than the standard perturbative cor-rection possesses.