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

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arxiv 2406.15014 v3 pith:QOAHQ44H submitted 2024-06-21 hep-ph

classification hep-ph
keywords elementsexpansionadlerbetabjorkenconfirmationdiagramsfunction
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Optimization of perturbation series in QCD for physical quantities using the renormalization group: necessary conditions and partial results

    hep-ph 2026-06 unverdicted novelty 5.5 of 10

    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.

  2. Perturbative QCD fitting of KEDR and BESIII $e^+e^-$ data for R(s) and $\alpha_s$ determination

    hep-ph 2026-03 unverdicted novelty 5.0 of 10

    Fits of combined KEDR and truncated BESIII data yield α_s(M_Z)=0.1179 (NLO), 0.1221 (NNLO), 0.1313 (N3LO), with the rise attributed to π² analytic-continuation effects.

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