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- W2080646545 abstract "The basis of the ${beta}$-expansion for the perturbative series evaluated in the $overline{MS}$ scheme for the renormalization group invariant quantities is summarized.Comparison with a similar representation,used within the BLM-motivated Principle of Maximal Conformality,is discussed.We stress that the original ${beta}$-expansion contains a completed list of terms rather than its PMC analog. The arguments in favour of the complete ${beta}$-expansion are presented. They are based on the relations which follow from the power $beta$-function generalization of the Crewther relation for the nonsinglet $overline{MS}$ contributions to the Adler $D^{NS}$-functionand to the Bjorken sum rule $C^{Bjp}_{NS}$ of the polarized lepton-nucleon scattering. The terms of the complete ${beta}$-expansionat the $O(alpha_s^3)$ level for $D^{NS}$ and $C^{Bjp}_{NS}$ are presented. These perturbative results are expressed in the PMC-type form. The problem of applications of these expressions for phenomenological applications is summarized." @default.
- W2080646545 created "2016-06-24" @default.
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- W2080646545 date "2014-10-02" @default.
- W2080646545 modified "2023-10-03" @default.
- W2080646545 title "${beta}$-expansion in QCD, its conformal symmetry limit: theory + applications" @default.
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