Comparative Analysis to the Bjorken Sum Rule in the Low Energy Domain

Abstract

We apply the analytic approach which modernizes perturbative expansions so that the new approximations reflect basic principles of the theory: renormalization invariance and spectrality, to the Bjorken sum rule. The comparison is given for the results derived within the framework of the standard perturbation theory and the analytic approach. It is shown that the usage of the analytic perturbation theory allows us to get a reliable conclusion about value of higher-twist contributions and achieve a good quantitative description of the recent precise Jefferson Lab data for the Bjorken sum rule down to Q — 280 MeV.