Adler function, Bjorken polarized sum rule: confirmation of elements of the {β}-expansion and the diagrams

Abstract

Abstract Different ways exist to obtain the elements of the {β}-expansion for renormgroup invariant quantities. Here we consider independent confirmation within the standard QCD of a number of our results [1] for the values of elements of this expansion for the nonsinglet Adler D A -function, Bjorken polarized sum rules S Bjp up to the order N4LO. We suggest an approach to estimate the results of high order QCD calculations using a smaller number of diagrams of the specific type. This type is based on a proposed generalization of Naive NonAbelianization.

Keywords

• Higher-Order Perturbative Calculations
• Factorization
• Renormalization Group