The off-shell renormalization of spontaneously broken effective gauge theories is carried out
following the Algebraic Renormalization approach.
We provide a constructive way to obtain the canonical transformations with respect to
the Batalin-Vilkovisky bracket, associated with the gauge group of the theory, that
generalize the familiar linear field redefinitions arising in power-counting renormalizable theories.
By taking into account such generalized field redefinitions one can consistently extract the $\beta$-functions of the higher dimensional operators order by order in the loop expansion.
The gauge invariance of the ultraviolet coefficients for physical operators is explicitly checked at one loop order.