Abstract
We propose a renormalizable theory based on the SU(3)_Ctimes SU(3)_Ltimes U(1)_X gauge symmetry, supplemented by the spontaneously broken U(1)_{L_g} global lepton number symmetry and the S_3 times Z_2 discrete group, which successfully describes the observed SM fermion mass and mixing hierarchy. In our model the top and exotic quarks get tree level masses, whereas the bottom, charm and strange quarks as well as the tau and muon leptons obtain their masses from a tree level Universal seesaw mechanism thanks to their mixing with charged exotic vector like fermions. The masses for the first generation SM charged fermions are generated from a radiative seesaw mechanism at one loop level. The light active neutrino masses are produced from a loop level radiative seesaw mechanism. Our model successfully accommodates the experimental values for electron and muon anomalous magnetic dipole moments.
Highlights
Imposing discrete symmetries allows one to forbid tree level masses arising from the Standard Yukawa interactions for the Standard Model (SM) fermions lighter than the top quark
Unlike the 3-3-1 models of Refs. [19–21,31,32,37,42,45,50], where non renormalizable Yukawa interactions are employed for the implementation of a Froggat Nielsen mechanism to produce the current SM fermion mass and mixing pattern, after the discrete symmetries are spontaneously broken, our proposed model is a fully renormalizable theory with minimal particle content and symmetries where tree level Universal and a one-loop level radiative seesaw mechanisms are combined to explain the observed hierarchy of SM fermion masses and fermionic mixing parameters
We consider a renormalizable extension of the 3-3-1 model with right handed Majorana neutrinos, where the SU (3)C × SU (3)L × U (1)X gauge symmetry is supplemented by the spontaneously broken U (1)Lg global lepton number symmetry and the S3 × Z2 discrete group, the scalar sector is enlarged by the inclusion of several gauge singlet scalars and the fermion sector is minimally augmented by the introduction of heavy electrically charged vector like fermions
Summary
Imposing discrete symmetries allows one to forbid tree level masses arising from the Standard Yukawa interactions for the SM fermions lighter than the top quark. [19–21,31,32,37,42,45,50] , where non renormalizable Yukawa interactions are employed for the implementation of a Froggat Nielsen mechanism to produce the current SM fermion mass and mixing pattern, after the discrete symmetries are spontaneously broken, our proposed model is a fully renormalizable theory with minimal particle content and symmetries where tree level Universal and a one-loop level radiative seesaw mechanisms are combined to explain the observed hierarchy of SM fermion masses and fermionic mixing parameters. The charged vector-like leptons which mediate the tree level Universal and one-loop level radiative seesaw mechanism that generates the SM charged fermion mass hierarchy, make contributions to the measured values of the muon and electron anomalous magnetic moments, providing a connection of the fermion mass generation mechanism and the g −2 anomalies, which is not given the models of Refs.
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