# Adler function, Bjorken polarized Sum Rule – confirmation of elements of the {β}-expansion and the diagrams

arxiv（2024）

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 N^4LO. 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.

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