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arXiv · 2406.15014

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

S. V. Mikhailov
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Abstract

Different ways exist to obtain the elements of the $\{\beta \}$-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$^4$LO. 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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S. V. Mikhailov. 2024-06-21. Adler function, Bjorken polarized sum rule: confirmation of elements of the $\{\beta\}$-expansion and the diagrams. https://doi.org/10.1007/jhep10(2024)166

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