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The \{β\}-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order O(α_s⁴)
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The \{β\}-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order O(α_s⁴)
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We derive explicit expressions for the elements of the $\{ \beta \}$-expansion for the nonsinglet Adler $D_A$-function and Bjorken polarized sum rules $S^{Bjp}$ in the N$^4$LO using recent results by Chetyrkin for these quantities computed within extended QCD including any number of fermion representations. We discuss the properties of the $\{ \beta \}$-expansion for $D_A$ and $S^{Bjp}$ at higher orders which follow from the Crewther [1] and the Broadhurst-Kataev [2] relation.
Forward citations
Cited by 2 Pith papers
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Optimization of perturbation series in QCD for physical quantities using the renormalization group: necessary conditions and partial results
Hierarchy filters on RG scale-shift parameters {Δ_i} delimit admissible optimizations of truncated pQCD series for C_Bjp and D_NS; only selected literature schemes survive.
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Optimization of perturbation series in QCD for physical quantities using the renormalization group: necessary conditions and partial results
Explores numerical optimization of perturbative QCD series for the Bjorken sum rule coefficient and Adler function via renormalization group methods drawn from prior literature.
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