On the perturbative generation of the higher-derivative Lorentz-breaking   terms
  In this paper, we describe the perturbative generation of the higher-derivative Lorentz-breaking terms for the gauge field, that is, the Myers-Pospelov term and the higher-derivative Carroll-Field-Jackiw term. These terms are explicitly calculated in the one-loop approximation and shown to be finite and ambiguous. 
T. Mariz, J. R. Nascimento, A. Yu. Petrov
hep-th