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

D. Kotlorz; S. V. Mikhailov

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

High Energy Physics - Phenomenology 2026-06-30 v1

Authors: D. Kotlorz , S. V. Mikhailov

Abstract

We explore approaches to numerically optimize a segment of the perturbative series for physical quantities using the QCD renormalization group. We apply these methods to the perturbative series for the coefficient function $C_{Bjps}$ of the Bjorken polarized sum rule and the Adler function $D_A$ . Using various techniques proposed in the literature, we discuss the consequences of ``optimization.''

Keywords

perturbative series renormalization group optimization Bjorken sum rule Adler function QCD

Cite

@article{arxiv.2606.31592,
  title  = {Optimization of perturbation series in QCD for physical quantities using the renormalization group: necessary conditions and partial results},
  author = {D. Kotlorz and S. V. Mikhailov},
  journal= {arXiv preprint arXiv:2606.31592},
  year   = {2026}
}

Comments

p.21, 1 table, 10 figures