A precise and accurate determination of the strong coupling
by
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''.
All in all, our strategy allows us to obtain an accurate determination
of the strong coupling at the electroweak scale with sub-percent
precision.