Hati, ChandanChandanHatiPatra, SudhanwaSudhanwaPatraReig, MarioMarioReigValle, José W.F.José W.F.ValleVaquera-Araujo, C.A.C.A.Vaquera-Araujo2025-08-222025-08-222015-03-012331-8422http://arxiv.org/abs/1703.09647http://repository.iitgn.ac.in/handle/IITG2025/18225We consider the possibility of gauge coupling unification within the simplest realizations of the SU(3)c×SU(3)L×SU(3)R×U(1)X gauge theory. We present a first exploration of the renormalization group equations governing the "bottom-up" evolution of the gauge couplings in a generic model with free normalization for the generators. Interestingly, we find that for a SU(3)c×SU(3)L×SU(3)R×U(1)X symmetry breaking scale MX as low as a few TeV one can achieve unification in the presence of leptonic octets. We briefly comment on possible grand unified theory frameworks which can embed the SU(3)c×SU(3)L×SU(3)R×U(1)X model as well as possible implications, such as lepton flavour violating physics at the LHC.en-USTowards gauge coupling unification in left-right symmetric SU(3)c×SU(3)L×SU(3)R×U(1)X theoriese-Printe-Print123456789/615