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

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].

Comments: 16 pages, invited talk at the XVIth Quark Confinement and the Hadron Spectrum Conference (QCHSC24)