  We evaluate the one-loop $\beta$ functions of all dimension 6
parity-preserving operators in the Abelian Higgs-Kibble model. No on-shell
restrictions are imposed; and the (generalized) non-polynomial field
redefinitions arising at one-loop order are fully taken into account. The
operator mixing matrix is also computed, and its cancellation patterns
explained as a consequence of the functional identities of the theory and
power-counting conditions.
