Non-SUSY Lepton Flavor Model with 3HDM

Abstract

We propose a simple non-supersymmetric lepton flavor model with $A_4$ symmetry. The $A_4$ group is a minimal one which includes triplet irreducible representation. We introduce three Higgs doublets which are assigned as triplet of the $A_4$ symmetry. It is natural that there are three generations of the Higgs fields as same as the standard model fermions. We study the potential analysis and we get the vacuum expectation values for the local minimum. In the vacuum expectation values, we obtain the charged lepton, Dirac neutrino, and right-handed Majorana neutrino mass matrices. By using type-I seesaw mechanism, we get the left-handed Majorana neutrino mass matrix. In the NuFIT 5.1 data, we predict the Dirac CP phase and the Majorana phases for the only inverted neutrino mass hierarchy. Especially, the Dirac CP phase and lepton mixing angle ${\theta }_{23}$ are strongly correlated. If the ${\theta }_{23}$ is more precise measured, the Dirac CP phase is more precise predicted, and vice versa. We also predict the effective mass for neutrino-less double beta decay $m_{ee}\simeq 47.1[\mathrm{meV}]$ and the lightest neutrino mass $m_3\simeq 0.789$~-~$1.43[\mathrm{meV}]$. It is testable for our model in the near future neutrino experiments.

We revised Chapter 2 and Appendix

References in corpus (14)

• Observation of electron-antineutrino disappearance at Daya Bay
• Possible Alternatives to Tri-bimaximal Mixing
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• Deviation from tri-bimaximal neutrino mixing in A4 flavor symmetry
• Tri-bimaximal Neutrino Mixing and Flavor-dependent Resonant Leptogenesis
• Symmetry breaking patterns in 3HDM
• Nonzero U_{e3}, CP violation and leptogenesis in a see-saw type softly broken A_4 symmetric model
• Neutrino masses and mixing from S4 flavor twisting
• Discrete symmetries in the three-Higgs-doublet model
• A_4 model for the quark mass matrices
• Large U_{e3} and Tri-bimaximal Mixing
• Constraining {\it CP} violation in a softly broken $A_4$ symmetric Model
• Deviation from tri-bimaximal mixing and flavor symmetry breaking in a seesaw type A4 model
• Conditions for global minimum in the A4 symmetric 3HDM