  Various studies have already considered radiative corrections in
Lorentz-violating models unveiling many instances where a minimal or nonminimal
operator generates, via loop corrections, a contribution to the photon sector
of the Standard-Model Extension. However, an important fraction of this
literature does not follow the widely accepted conventions and notations of the
Standard-Model Extension, and this obscures the comparison between different
calculations as well as possible phenomenological consequences. After reviewing
some of these works, we uncover one example where a well defined loop
correction to the $k_{F}$ coefficient, already presented in the literature,
allows us to improve the bounds on one specific coefficient of the fermion
sector of the Lorentz-violating QED extension.
