Determination of ${\alpha }_s$ from static QCD potential with renormalon subtraction

Abstract

We determine the strong coupling constant ${\alpha }_s(M_Z)$ from the static QCD potential by matching a lattice result and a theoretical calculation. We use a new theoretical framework based on operator product expansion (OPE), where renormalons are subtracted from the leading Wilson coefficient. We find that our OPE prediction can explain the lattice data at ${\Lambda }_{\mathrm{QCD}}r\lesssim 0.8$. This allows us to use a larger window in matching, which leads to a more reliable determination. We obtain ${\alpha }_s(M_Z)=0.1179_{-0.0014}^{+0.0015}$.

5 pages, 3 figures, version to appear in PLB, an error analysis concerning lattice spacing is added, total error unchanged

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• Lattice determinations of the strong coupling
• Strong coupling constant and quark masses from lattice QCD
• The QCD Static Energy using Optimal Renormalization and Asymptotic Padé-approximant Methods
• Static Energy in ($2+1+1$)-Flavor Lattice QCD: Scale Setting and Charm Effects
• Renormalon subtraction in OPE using Fourier transform: Formulation and application to various observables
• Renormalons beyond the Borel plane
• New method for renormalon subtraction using Fourier transform
• On renormalons of static QCD potential at $u=1/2$ and $3/2$
• UV contributions to energy of a static quark-antiquark pair in large ${\beta }_0$ approximation
• Renormalon Subtraction in OPE by Dual Space Approach: Nonlinear Sigma Model and QCD
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