  In this work, the one-loop renormalization of a theory for fields
transforming in the $(1,0)\oplus(0,1)$ representation of the Homogeneous
Lorentz Group is studied. The model includes an arbitrary gyromagnetic factor
and self-interactions of the spin 1 field, which has mass dimension one. The
model is shown to be renormalizable for any value of the gyromagnetic factor.
