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We present two new extractions of the QCD coupling constant at the Z pole,$\alpha_S(m_Z)$, from detailed comparisons of inclusive W and Z hadronic decaysdata to state-of-the-art perturbative Quantum Chromodynamics calculations atnext-to-next-to-next-to-leading order (N$^{3}$LO) accuracy, incorporating thelatest experimental and theoretical developments. In the W boson case, thetotal width computed at N$^{3}$LO is used for the first time in the extraction.For the Z boson pseudo-observables, the N$^{3}$LO results are complemented withthe full two- and partial three-loop electroweak corrections recently madeavailable, and the experimental values are updated to account for newlyestimated LEP luminosity biases. A combined reanalysis of the Z boson datayields $\alpha_S(m_Z) = 0.1203 \pm 0.0028$, with a 2.3\% uncertainty reduced byabout 7\% compared to the previous state-of-the-art. From the combined W bosondata, a value of $\alpha_S(m_Z) = 0.101 \pm 0.027$ is extracted, with stilllarge experimental uncertainties but also reduced compared to previous works.The levels of theoretical and parametric precision required in the context ofQCD coupling determinations with permil uncertainties from high-statistics Wand Z boson samples expected at future $e^+e^-$ colliders such as the FCC-ee,are discussed in detail.

Improved strong coupling determinations from hadronic decays of electroweak bosons at N$^3$LO accuracy