Abstract
We present details of study of the Bjorken polarized sum rule carried out recently in [1] within the range of energies where the data were collected by JLAB collaboration, 0.05 GeV2 < Q2 < 3 GeV2. Three approaches to QCD with analytic (holomorphic) coupling are considered: Analytic Perturbation Theory (APT), Two-delta analytic QCD (2δanQCD), and Three-delta lattice-motivated analytic QCD in the three-loop and four-loop MiniMOM schemes (3l3δanQCD, 4l3δanQCD). The new frameworks (2δ and 3δ) with respective couplings give results which agree well with the experimental data for 0.5 GeV2 < Q2 < 3 GeV2 already when only one higher-twist term is taken into account.
Highlights
The well-known Bjorken polarized sum rule (BSR) Γp1−n(Q2) [2] is chosen for testing the nonperturbative behavior in QCD
We present results of the research [1] into the applicability of perturbative QCD with inclusion of one higher-twist (HT) contribution ∼ 1/Q2 dictated by OPE
BSR can be written in terms of a sum of two terms, one coming from perturbative QCD (pQCD) as an expansion of the running coupling apt(Q2) = αs(Q2)/π and the other is the twist-4 contribution dictated by the OPE [2]
Summary
The well-known Bjorken polarized sum rule (BSR) Γp1−n(Q2) [2] is chosen for testing the nonperturbative behavior in QCD. We present results of the research [1] into the applicability of perturbative QCD (pQCD) with inclusion of one higher-twist (HT) contribution ∼ 1/Q2 dictated by OPE.
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