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

Abstract

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.

Comments: 22 pages, 13 figures. Non-abelian generalization of arXiv:1205.1557 [hep-ph]; v2: version accepted for publication in Journal of High-Energy Physics (JHEP)