Review on the determination of alpha_s from the QCD static energy
Xavier Garcia i Tormo

TL;DR
This paper reviews methods for determining the strong coupling constant alpha_s by comparing perturbative QCD static energy calculations with lattice data, summarizing current theoretical expressions and accuracy levels.
Contribution
It compiles and reviews all relevant perturbative expressions for evaluating the static energy at current accuracy levels, aiding precise alpha_s determination.
Findings
Consolidates perturbative expressions for static energy.
Highlights current accuracy in alpha_s extraction.
Provides a comprehensive reference for future studies.
Abstract
We review the determination of the strong coupling alpha_s from the comparison of the perturbative expression for the Quantum Chromodynamics static energy with lattice data. We collect here all the perturbative expressions needed to evaluate the static energy at the currently known accuracy.
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