  In this work, the renormalization of the second-order QCD is analyzed at
one-loop level, including an arbitrary chromomagnetic factor and quark
self-interactions, which are mass dimension four operators in this framework.
The model is shown to be renormalizable for any value of the chromomagnetic
factor $\kappa$ in the validity region of the perturbative expansion, and Dirac
QCD is recovered in the $\kappa=2$ case with vanishing self-interaction
couplings.
