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

Abstract

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 × Zð2Þ2 . 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