Abstract
We determine the strong coupling constant αs from the static QCD potential by matching a theoretical calculation with a lattice QCD computation. We employ a new theoretical formulation based on the operator product expansion, in which renormalons are subtracted from the leading Wilson coefficient. We remove not only the leading renormalon uncertainty of \( \mathcal{O} \)(ΛQCD) but also the first r-dependent uncertainty of \( \mathcal{O}\left({\Lambda}_{\mathrm{QCD}}^3{r}^2\right) \). The theoretical prediction for the potential turns out to be valid at the static color charge distance \( {\Lambda}_{\overline{\mathrm{MS}}}r\lesssim 0.8 \) (r ≲ 0.4 fm), which is significantly larger than ordinary perturbation theory. With lattice data down to \( {\Lambda}_{\overline{\mathrm{MS}}}r\sim 0.09 \) (r ∼ 0.05 fm), we perform the matching in a wide region of r, which has been difficult in previous determinations of αs from the potential. Our final result is αs(M 2 Z ) = 0.1179 + 0.0015− 0.0014 with 1.3% accuracy. The dominant uncertainty comes from higher order corrections to the perturbative prediction and can be straightforwardly reduced by simulating finer lattices.
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Takaura, H., Kaneko, T., Kiyo, Y. et al. Determination of αs from static QCD potential: OPE with renormalon subtraction and lattice QCD. J. High Energ. Phys. 2019, 155 (2019). https://doi.org/10.1007/JHEP04(2019)155
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DOI: https://doi.org/10.1007/JHEP04(2019)155