Optimization of perturbation series in QCD for physical quantities using the renormalization group: necessary conditions and partial results

Abstract

We explore approaches to numerically optimize a segment of the perturbative series for physical quantities using the QCD renormalization group. We apply these methods to the perturbative series for the coefficient function $C_{Bjps}$ of the Bjorken polarized sum rule and the Adler function $D_A$. Using various techniques proposed in the literature, we discuss the consequences of ``optimization.''

style of presentation is corrected and clarified, p.22, 1 table, 10 figures, Fig.6 is replaced, 2 new references added