Advantages of APT in QCD study of hadronic tau decays

Abstract

A comparative analysis of different forms of approximations, which are applied to the description of the hadronic decays of the tau lepton, is given. Advantages and self-consistency of the method called analytic perturbation theory (APT) are demonstrated. It is shown that the use of the APT leads to the good description of certain inclusive functions associated with vector and axial-vector non-strange quark currents down to the lowest energy scale.