Renormalization of the second-order QCD with arbitrary chromomagnetic factor and quark self-interactions

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.