Minimal seesaw textures with two heavy neutrinos

Journal Article · Sun Feb 01 04:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.033004· OSTI ID:21259876

Goswami, Srubabati ^[1]; Watanabe, Atsushi ^[1]

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1. Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211 019 (India)

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 nondiagonal 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 four zeros together in m{sub D} and M{sub R} 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 three 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 neutrinoless 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.

• OSTI ID: 21259876
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 3 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CLASSIFICATION
DOUBLE BETA DECAY
EFFECTIVE MASS
FORECASTING
MAJORANA THEORY
MATHEMATICAL SOLUTIONS
MATRIX ELEMENTS
MIXING
NEUTRINO OSCILLATION
NEUTRINOS
SIMULATION
SYMMETRY
TEXTURE
WEINBERG ANGLE