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 ${\alpha }_s(M_Z)=0.1179_{-0.0014}^{+0.0015}$.

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