Optimized determination of the polarized Bjorken sum rule in pQCD

Abstract

We present the method of numerical optimization for the perturbative series using the renormalization group in quantum chromodynamics. We apply our approach to the perturbation series in ${\alpha }_s$ for the coefficient function $C_{\text{Bjp}}({\alpha }_s)$ of the Bjorken sum rule for the polarized deep inelastic lepton-hadron scattering. We optimize the Bjorken sum rule value, ${\Gamma }_1^{\text{p-n}}$, at the COMPASS, SLAC and JLab kinematics and compare the obtained results with the experimental measurements and also with the truncated Bjorken sum rule predictions.

14 pages, 3 figures

References in corpus (12)

• Sinc approximation of algebraically decaying functions
• Hadronic Z- and tau-Decays in Order alpha_s^4
• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• Experimental study of isovector spin sum rules
• High precision determination of the $Q^2$-evolution of the Bjorken Sum
• Bjorken Sum Rule and pQCD frontier on the move
• Final COMPASS results on the deuteron spin-dependent structure function $g_1^{\mathrm{d}}$ and the Bjorken sum rule
• Generalization of the Brodsky-Lepage-Mackenzie optimization within the $\{\beta \}$-expansion and the Principle of Maximal Conformality
• Nucleon spin structure at low momentum transfers
• Setting the Renormalization Scale in pQCD: Comparisons of the Principle of Maximum Conformality with the Sequential Extended Brodsky-Lepage-Mackenzie Approach
• The $\{\beta \}$-expansion formalism in perturbative QCD and its extension
• Cut moments and a generalization of DGLAP equations

Cited by in corpus (3)

• Polarized electron-deuteron deep-inelastic scattering with spectator nucleon tagging
• The $\overline{\mathrm{MS}}$-scheme ${\alpha }_s^5$ QCD contributions to the Adler function and Bjorken polarized sum rule in the Crewther-type two-fold $\{\beta \}$-expanded representation
• Towards unifying perturbative and Holographic Light-Front QCD via holomorphic coupling