Precision Determination of ${\alpha }_s$ from Lattice QCD

Abstract

We present an overview of the recent lattice determination of the QCD coupling ${\alpha }_s$ by the ALPHA Collaboration. The computation is based on the non-perturbative determination of the $\Lambda$-parameter of $N_{\mathrm{f}}=3$ QCD, and the perturbative matching of the $N_{\mathrm{f}}=3$ and $N_{\mathrm{f}}=5$ theories. The final result: ${\alpha }_s(m_Z)=0.11852(84)$, reaches sub-percent accuracy.

arXiv comment14 pages, 4 figures. Contribution from the "Selected Papers from the 7th International Conference on New Frontiers in Physics (ICNFP 2018)"

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• The gradient flow coupling at high-energy and the scale of SU(3) Yang-Mills theory
• Genuine Dilatons in Gauge Theories
• Past, present, and future of precision determinations of the QCD coupling from lattice QCD