Towards the minimal seesaw model via CP violation of neutrinos

Abstract

We study the minimal seesaw model, where two right-handed Majorana neutrinos are introduced, focusing on the CP violating phase. In addition, we take the trimaximal mixing pattern for the neutrino flavor where the charged lepton mass matrix is diagonal. Thanks to this symmetric framework, the $3\times 2$ Dirac neutrino mass matrix is given in terms of a few parameters. Numerical studies reveal that the observation of the CP violating phase can determine the flavor structure of the Dirac neutrino mass matrix in the minimal seesaw model. In particular, new minimal Dirac neutrino mass matrices are proposed in the case of $\mathrm{T}{\mathrm{M}}_1$, which is derived by the additional 2-3 family mixing to the tri-bimaximal mixing basis in the normal hierarchy of neutrino masses. Our analyses include the Littlest seesaw model by King {\it et al.}, which is one of the specific one in our results. Furthermore, it is remarked that our $3\times 2$ Dirac neutrino mass matrix is reproduced by introducing gauge singlet flavons with the specific alignments of the VEV's. These alignments suggest the residual symmetry of $S_4$ group.

arXiv comment27 pages, 27 figures, final version

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Cited by in corpus (20)

• Flavor structures of charged fermions and massive neutrinos
• The minimal seesaw and leptogenesis models
• The minimal type-I seesaw model with maximally-restricted texture zeros
• Combining texture zeros with a remnant CP symmetry in the minimal type-I seesaw
• Lepton Mixing Predictions from $S_4$ in the Tri-Direct CP approach to Two Right-handed Neutrino Models
• Neutrino CP violation and sign of baryon asymmetry in the minimal seesaw model
• Consequences of minimal seesaw with complex $\mu \tau$ antisymmetry of neutrinos
• Predictive $S_4$ flavon model with ${\text{TM}}_1$ mixing and baryogenesis through leptogenesis
• Scalar-singlet assisted leptogenesis with CP violation from the vacuum
• New approach to neutrino masses and leptogenesis with Occam's razor
• Renormalization group evolution induced leptogenesis in the minimal seesaw model with the trimaximal mixing and mu-tau reflection symmetry
• Simiplified textures of the seesaw model for the trimaximal neutrino mixings
• $\mu$-$\tau$ symmetry breaking and CP violation in the neutrino mass matrix
• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• Anomaly-free 2HDMs with a gauged abelian symmetry and two generations of right-handed neutrinos
• Novel Flavon Stabilization with Trimaximal Neutrino Mixing
• The common origin of the family mass hierarchy and CP violation from flavour-dependent vacuum for quarks and leptons
• Flavored Peccei-Quinn symmetries in the minimal $\nu$DFSZ model
• Towards the minimal seesaw model for the prediction of neutrino CP violation
• ${\text{TM}}_1$ neutrino mixing with $\sin {\theta }_{13}=\frac{1}{\sqrt{3}}\sin \frac{\pi }{12}$