https://doi.org/10.1140/epjc/s10052-022-10639-9
Regular Article - Theoretical Physics
Fermion masses and mixings and 
muon anomaly in a 3-3-1 model with 
family symmetry
1
Universidad Técnica Federico Santa María, Casilla 110-V, Valparaiso, Chile
2
Centro Científico-Tecnológico de Valparaíso, Casilla 110-V, Valparaiso, Chile
3
Millennium Institute for Subatomic Physics at High Energy Frontier-SAPHIR, Fernandez Concha 700, Santiago, Chile
4
Center for Forecasting Studies, Thu Dau Mot University, Binh Duong Province, Vietnam
5
Institute of Physics, Vietnam Academy of Science and Technology, 10 Dao Tan, Ba Dinh, Hanoi, Vietnam
6
Department of Physics, Hanoi Pedagogical University 2, Phuc Yen, Vinh Phuc, Vietnam
7
Institute of Applied Technology, Thu Dau Mot University, Thu Dau Mot, Binh Duong Province, Vietnam
8
Department of Physics, Tay Nguyen University, 567 Le Duan, Buon Ma Thuot City, DakLak, Vietnam
Received:
24
November
2021
Accepted:
26
July
2022
Published online:
31
August
2022
We propose a predictive model based on the 
gauge symmetry, which is supplemented by the family symmetry and several auxiliary cyclic symmetries whose spontaneous breaking produces the observed SM fermion mass and mixing pattern. The masses of the light active neutrinos are produced by an inverse seesaw mechanism mediated by three right handed Majorana neutrinos. To the best of our knowledge the model corresponds to the first implementation of the family symmetry in a theory with three right handed Majorana neutrinos and inverse seesaw mechanism. Our proposed model successfully accommodates the experimental values of the SM fermion mass and mixing parameters, the muon anomalous magnetic moment as well as the Higgs diphoton decay rate and meson oscillations constraints. The consistency of our model with the muon anomalous magnetic moment requires charged exotic vector like leptons at the TeV scale.
© The Author(s) 2022
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