Determination of $\alpha_s$ from static QCD potential with renormalon subtraction

TL;DR

This paper accurately determines the strong coupling constant $oldsymbol{ ext{α}_s}$ at the Z boson mass scale by combining lattice QCD data with a novel operator product expansion approach that subtracts renormalons, improving reliability.

Contribution

It introduces a new theoretical framework based on OPE with renormalon subtraction for extracting $oldsymbol{ ext{α}_s}$ from the static QCD potential, enabling a more reliable matching with lattice data.

Findings

Determined $oldsymbol{ ext{α}_s(M_Z)}=0.1179^{+0.0015}_{-0.0014}$.

OPE prediction matches lattice data for $oldsymbol{ ext{Λ}_{QCD} r extless 0.8}$.

Enhanced the matching window, improving the accuracy of $oldsymbol{ ext{α}_s}$ measurement.

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 $\Lambda_{\rm QCD} r \lesssim 0.8$. This allows us to use a larger window in matching, which leads to a more reliable determination. We obtain $\alpha_s(M_Z)=0.1179^{+0.0015}_{-0.0014}$.