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Towards gauge coupling unification in left-right symmetric $\mathrm{SU(3)_c \times SU(3)_L \times SU(3)_R \times U(1)_{X}}$ theories
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abstract
We consider the possibility of gauge coupling unification within the simplest realizations of the $\mathrm{SU(3)_c \times SU(3)_L \times SU(3)_R \times U(1)_{X}}$ 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 $\mathrm{SU(3)_c \times SU(3)_L \times SU(3)_R \times U(1)_{X}}$ symmetry breaking scale $M_X$ 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 $\mathrm{SU(3)_c \times SU(3)_L \times SU(3)_R \times U(1)_{X}}$ model as well as possible implications, such as lepton flavour violating physics at the LHC.
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Cited by 1 Pith paper
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Non-Universal Flipped Trinification Models with Arbitrary $\beta$
Eight three-family and four two-family anomaly-free spectra are found for SU(3)_C x SU(3)_L x SU(3)_R x U(1)_X with arbitrary beta, with LHC Z' mass limits for beta = -1/sqrt(3).
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