Minimal Seesaw Textures with Two Heavy Neutrinos

Abstract

We systematically analyze the Dirac and the Majorana mass matrices in seesaw models with two heavy right-handed neutrinos. We perform thorough classification of the vanishing matrix elements which are compatible with the results from the current neutrino oscillation experiments. We include the possibility of a non-diagonal Majorana mass matrix which leads to new solutions viable with data. In a basis where the Majorana mass matrix is diagonal, these solutions imply a Dirac matrix with specific relationships amongst its elements. We find that at the level of total 4 zeros together in the Dirac and the Majorana sectors, the mass matrices are almost consistent with the data but one mixing angle is predicted to be unsuitable. At the next level, i.e. with total 3 zeros, only seven patterns of mass matrices describe the experimental data well. The seven solutions have testable predictions for the future neutrino experiments. In particular, each solution has definite predictions about the observation of the 1-3 leptonic mixing angle and the effective mass measured in neutrino-less double beta decay. The solutions of the mass matrices contain novel texture forms and provide new insights into the lepton-generation structure. We also discuss possible connections between these textures and the tri-bimaximal mixing to search for symmetry principles behind the mass matrix structure.

29 pages

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Cited by in corpus (27)

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• Phenomenological Consequences of sub-leading Terms in See-Saw Formulas
• The minimal seesaw and leptogenesis models
• An $S_3$ Model for Lepton Mass Matrices with Nearly Minimal Texture
• Scaling in the Neutrino Mass Matrix, mu-tau Symmetry and the See-Saw Mechanism
• Phenomenological study of extended seesaw model for light sterile neutrino
• Minimal Textures in Seesaw Mass Matrices and their low and high Energy Phenomenology
• Hybrid textures in minimal seesaw mass matrices
• Towards the minimal seesaw model via CP violation of neutrinos
• Scaling ansatz, four zero Yukawa textures and large ${\theta }_{13}$
• Texture Zeros for Dirac Neutrinos and Current Experimental Tests
• Majorana neutrino mass matrices with three texture zeros and the sterile neutrino
• Doubly charged scalar decays in a type II seesaw scenario with two Higgs triplets
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• Neutrino CP violation and sign of baryon asymmetry in the minimal seesaw model
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