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# Fermion masses and mixings in a 3-3-1 model with $$\Delta\left(27\right)$$ family symmetry and inverse seesaw mechanism

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### Abstract

We build a viable family symmetry 3-3-1 model based on the $$\Delta \left(27\right) \times Z_{3}\times Z_{16}$$ discrete group consistent with the low energy fermion flavor data. In the model under consideration, the small active neutrino masses arise from an inverse seesaw mechanism mediated by three very light Majorana neutrinos and the observed pattern of the Standard Model (SM) fermion masses and mixing angles arises from the breaking of the $$\Delta \left( 27\right) \times Z_{3}\times Z_{16}$$ discrete group at very high energy scale. The obtained values for the physical observables in the quark sector are consistent with the experimental data, whereas those ones for the lepton sector also do, only for the case of normal neutrino mass spectrum. Our model predicts an effective Majorana neutrino mass parameter of $$m_{ee}\simeq 3.7$$ meV and a Jarlskog invariant of the order of $$10^{-2}$$ for the normal neutrino mass spectrum.

### Most cited references65

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### Constraining warm dark matter with 21 cm line fluctuations due to minihalos

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### Chiral dilepton model and the flavor question

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### Discrete Flavor Symmetries and Models of Neutrino Mixing

(2010)
We review the application of non abelian discrete groups to the theory of neutrino masses and mixing, which is strongly suggested by the agreement of the Tri-Bimaximal mixing pattern with experiment. After summarizing the motivation and the formalism, we discuss specific models, based on A4, S4 and other finite groups, and their phenomenological implications, including lepton flavor violating processes, leptogenesis and the extension to quarks. In alternative to Tri-Bimaximal mixing the application of discrete flavor symmetries to quark-lepton complementarity and Bimaximal Mixing is also considered.
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### Author and article information

###### Journal
05 March 2018
###### Article
1803.01636