How low-scale trinification sheds light in the flavor hierarchies, neutrino puzzle, dark matter, and leptogenesis

We propose a low-scale renormalizable trinification theory that successfully explains the flavor hierarchies and neutrino puzzle in the Standard Model (SM), as well as provides a dark matter candidate and also contains the necessary means for efficient leptogenesis. The proposed theory is based on the trinification SU(3)C×SU(3)L×SU(3)R gauge symmetry, which is supplemented with an additional flavor symmetry U(1)X×Z2(1)×Z2(2). In the proposed model the top quark and the exotic fermions acquire tree-level masses, whereas the lighter SM charged fermions gain masses radiatively at one-loop level. In addition, the light active neutrino masses arise from a combination of radiative and type-I seesaw mechanisms, with the Dirac neutrino mass matrix generated at one-loop level.