A low-energy determination of $α_s$ at three loops

We review one of the most accurate low-energy determinations of $α_s$. Comparing at short distances the QCD static energy at three loops and resummation of the next-to-next-to leading logarithms with its determination in 2+1-flavor lattice QCD, we obtain $α_s(1.5~{\rm GeV})=0.336^{+0.012}_{-0.008}$, which corresponds to $α_s(M_Z)=0.1166^{+0.0012}_{-0.0008}$. We discuss future perspectives.

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