  As present and future experiments, on both the energy and precision
frontiers, look to identify new physics beyond the Standard Model, we require
more precise determinations of fundamental quantities, like the QED and
electroweak couplings at various momenta. These can be obtained either entirely
from experimental measurements, or from one such measurement at a particular
virtuality combined with the couplings' virtuality dependence computed within
the SM. Thus, a precise, entirely theoretical determination of the running
couplings is highly desirable, even more since the preliminary results of the
E989 experiment in Fermilab were published. We give results for the hadronic
contribution to the QED running coupling $\alpha(Q^2)$ and weak mixing angle
$\sin^2\theta_W(Q^2)$ in the space-like energy region $(0, 7]~\text{GeV}^2$
with a total relative uncertainty of $2\%$ at energies $Q^2 \ll
1~\text{GeV}^2$, and $1\%$ at $Q^2 > 1~\text{GeV}^2$.
