A precise and accurate determination of the strong coupling

About

In this talk I will review our strategy for the determination of the

fundamental parameters of the standard model in terms of hadronic

input via lattice simulations, with an emphasis on the determination

of the strong coupling constant.

We perform a non-perturbative lattice computation of running couplings

from the electroweak scale to hadronic scales. These non-perturbative

computations are performed in the three-flavor theory, yielding

$\Lambda^{(3)}$ with around 4% precision. This result in the

three-flavor effective theory is used to obtain an accurate value of

the strong coupling by means of (high order) perturbative relations

between the effective theory couplings at the charm and beauty quark

``thresholds''.