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 SUð3ÞC × SUð3ÞL × SUð3ÞR gauge symmetry, which is supplemented with an additional
flavor symmetry Uð1ÞX × Zð1Þ
2 × Zð2Þ
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