A precise and accurate determination of the strong coupling

<!--HTML--><p>In this talk I will review our strategy for the determination of the<br /> fundamental parameters of the standard model in terms of hadronic<br /> input via lattice simulations, with an emphasis on the determination<br /> of the strong coupling constant.<br /> <br /> We perform a non-perturbative lattice computation of running couplings<br /> from the electroweak scale to hadronic scales. These non-perturbative<br /> computations are performed in the three-flavor theory, yielding<br /> $\Lambda^{(3)}$ with around 4% precision. This result in the<br /> three-flavor effective theory is used to obtain an accurate value of<br /> the strong coupling by means of (high order) perturbative relations<br /> between the effective theory couplings at the charm and beauty quark<br /> ``thresholds''.<br /> <br /> All in all, our strategy allows us to obtain an accurate determination<br /> of the strong coupling at the electroweak scale with sub-percent<br /> precision.</p>