  We provide the first step towards renormalization in a nonminimal
Lorentz-violating model consisting of normal scalars and modified fermions with
mass dimension five operators. We compute the radiative corrections
corresponding to the scalar self-energy, and we show that some divergencies are
improved and in the scalar sector they are finite. The pole mass of the scalar
two-point function is found and shown to lead to modifications of asymptotic
states.
