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.

Comments: 14 pages, 3 figures