  We investigate a Lorentz-violating chiral model composed by two fermions, a
complex scalar field and a gauge field. We show that by convenientely adjusting
the parameters of the model, it is possible to generate an unambiguous
Carroll-Field-Jackiw term and, at the same time, provide the cancelation of the
chiral anomaly. The renormalizability of the model is investigated and it is
shown that the same counterterms needed in the symmetric phase also renormalize
the model with broken symmetry.
