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Adler function, Bjorken Sum Rule and Crewther-Broadhurst-Kataev relation with generic fermion representations at order $O(\alpha^4_s)$
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abstract
We compute the nonsinglet Adler $D$-function and the coefficient function for Bjorken polarized sum rules $S^{Bjp}$ at order $O(\alpha_s^4)$ in an extended QCD model with arbitrary number of fermion representations. The Crewther-Broadhurst-Kataev (CBK) relation in this order is confirmed.
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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Factorial growth in perturbation theory, power corrections: precise extraction of quark masses and $\alpha_\text{s}$
A QCD method that subtracts and Borel-sums factorially growing high-order terms improves the stability of perturbative series for the static energy, pole mass, and Bjorken sum rule.
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