  We derive the Callan-Symanzik equation of the electroweak Standard Model in
the QED-like on-shell parameterization. The various coefficient functions, the
$\beta$-functions and anomalous dimensions, are determined in one-loop order in
the most general linear gauge compatible with rigid symmetry. In this way the
basic elements for a systematic investigation of higher-order leading
logarithmic contributions in the Standard Model are provided. The one-loop
$\beta$-function of the electromagnetic coupling turns out to be independent of
mass ratios and it is QED-like in this sense. Besides the QED-contributions of
fermions it contains non-abelian contributions from vectors and ghosts with
negative sign, which overcompensate the contributions of the fermions if one
restricts the latter to one fermion generation. We also compare our results
with the symmetric theory and give relations between the $\beta$-functions of
the spontaneously broken and the symmetric theory valid in one-loop order.
