Review on the determination of alpha_s from the QCD static energy

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.

14 pages, 4 figures. Invited brief review for Modern Physics Letters A. v2: Minor changes, references added. Journal version. v3: Misprint corrected in Eq.(17), results unchanged

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• Heavy quarkonium: progress, puzzles, and opportunities
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Thrust at N^3LL with Power Corrections and a Precision Global Fit for alphas(mZ)
• Fermionic contributions to the three-loop static potential
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Cited by in corpus (10)

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• The QCD Running Coupling
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• Determination of the QCD coupling from the static energy and the free energy
• Calibrating the Naïve Cornell Model with NRQCD
• Past, present, and future of precision determinations of the QCD coupling from lattice QCD
• A Lattice Study of the Two-photon Decay Widths for Scalar and Pseudo-scalar Charmonium
• A low-energy determination of ${\alpha }_s$ at three loops
• Analysis of strong coupling constant with machine learning and its application
• Low-energy constraints to ${\alpha }_s$