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arXiv · 1907.11747

Determination of the QCD coupling from the static energy and the free energy

Alexei Bazavov·Nora Brambilla·Xavier Garcia i Tormo·Péter Petreczky·Joan Soto·Antonio Vairo·Johannes Heinrich Weber
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Abstract

We present two determinations of the strong coupling \(\alpha_s\). The first one is from the static energy at three-loop accuracy, and may be considered an update of earlier determinations by some of us. The new analysis includes new lattice data at smaller lattice spacings, and reaches distances as short as \(0.0237\,{\rm fm}\). We present a comprehensive and detailed estimate of the error sources that contribute to the uncertainty of the final result, $\alpha_s(M_Z)=0.11660^{+0.00110}_{-0.00056}$. The second determination is based on lattice data for the singlet free energy at finite temperature up to distances as small as \(0.0081\,{\rm fm}\), from which we obtain $\alpha_s(M_Z)=0.11638^{+0.0009 5}_{-0.00087}$.

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Alexei Bazavov, Nora Brambilla, Xavier Garcia i Tormo, Péter Petreczky, Joan Soto, Antonio Vairo, Johannes Heinrich Weber. 2019-07-26. Determination of the QCD coupling from the static energy and the free energy. https://doi.org/10.1103/physrevd.100.114511

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