The strong coupling from ALEPH tau decays

The strong coupling from ALEPH tau decays. We use the publically available non-strange spectral function from ALEPH tau decays to critically analyze the different determinations of $\alpha_s(m^{2}_{\tau}$) that can be found in the literature and the numerical impact of their possible weaknesses. We also introduce some novel approaches. We find that perturbative uncertainties dominate. Our results with different approaches are very stable. Our final value is $\alpha_s(m^{2}_{\tau})=0.328\pm0.013$.