Factorial growth in perturbation theory, power corrections: precise extraction of quark masses and $\alpha_\text{s}$

TL;DR

This paper explores the link between factorial growth in perturbative QCD series and power corrections, demonstrating improved convergence in key quantities and discussing precise extraction of quark masses and the strong coupling constant.

Contribution

It introduces a novel connection between factorial growth and power corrections, enhancing the precision of quark mass and  determinations in QCD.

Findings

Improved convergence observed for static energy, quark pole mass, and Bjorken sum rule.

Potential for more accurate  measurements with controlled uncertainties.

Discussion of prospects for precise  extraction using the new approach.

Abstract

These proceedings summarize a newly found connection between the factorial growth of coefficients in perturbative QCD and power corrections to the perturbation series, discussed in refs. [1-4]. The improved convergence is shown for three quantities four which four terms in the series are available: the static energy, the quark pole mass, and the polarized Bjorken sum rule. Prospects for determinations of $\alpha_\text{s}$ with controlled truncation uncertainties are discussed, as was found earlier in quark-mass determinations [3,5].