Minimal Neutrino Texture with Neutrino Mass Ratio and Cabibbo Angle

Abstract

We present neutrino mass matrix textures in a minimal framework of the type-I seesaw mechanism where two right-handed Majorana neutrinos are introduced in order to reproduce experimental results of neutrino oscillations. The textures can lead to experimentally favored leptonic mixing angles described by the tri-bimaximal mixing with one additional rotation. We present minimal and next to minimal textures for the normal mass hierarchy case in a context of the texture zero. A minimal texture in the inverted hierarchy case is also constructed, which does not have any vanishing entries in a Dirac neutrino mass matrix. We also discuss some cases that model parameters in the textures are supposed to be a neutrino mass ratio and/or the Cabibbo angle. Predicted regions of mixing angles, a leptonic CP-violation parameter, and an effective mass for the neutrino-less double beta decay are presented in all textures.

24 pages, 30 figures, some references are added

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• Mass Limit for Light Flavon with Residual $Z_3$ Symmetry
• Model independent Analysis of Dirac CP Violating Phase for some well known mixing scenarios
• Testing the minimal $S_4$ model of neutrinos with the Dirac and Majorana phases
• A Systematic Analysis of Perturbations for Hexagonal Mixing Matrix
• Double Froggatt--Nielsen Mechanism
• Revisiting Flavor Model and Leptogenesis
• Non-SUSY Lepton Flavor Model with 3HDM