  We investigate new aspects related to the abelian gauge-Higgs model with the
addition of the Carroll-Field-Jackiw term. We focus on one-loop quantum
corrections to the photon and Higgs sectors due to spontaneous breaking of
gauge symmetry and show that new finite and definite Lorentz-breaking terms are
induced. Specifically in the gauge sector, a CPT-even aether term is induced.
Besides, aspects of the one-loop renormalization of the background vector
dependent terms are discussed.
