  We report a high-precision calculation of the Standard Model electroweak
radiative corrections in the $K\to \pi e^+\nu(\gamma)$ decay as a part of the
combined theory effort to understand the existing anomaly in the determinations
of $V_{us}$. Our new analysis features a chiral resummation of the large
infrared-singular terms in the radiative corrections and a well-under-control
strong interaction uncertainty based on the most recent lattice QCD inputs.
While being consistent with the current state-of-the-art results obtained from
chiral perturbation theory, we reduce the existing theory uncertainty from
$10^{-3}$ to $10^{-4}$. Our result suggests that the Standard Model electroweak
effects cannot account for the $V_{us}$ anomaly.
