Optimized determination of the polarized Bjorken sum rule in pQCD

TL;DR

This paper introduces a numerical optimization method based on the renormalization group to improve the perturbative series calculations of the polarized Bjorken sum rule in QCD, enhancing agreement with experimental data.

Contribution

The paper develops a novel optimization approach for perturbative series in QCD, specifically applied to the Bjorken sum rule, improving theoretical predictions at various experimental kinematics.

Findings

Optimized the Bjorken sum rule value using the new method.

Achieved better agreement with experimental measurements.

Provided a comparison with truncated series predictions.

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.