Tri-bimaximal Mixing from Cascades

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  • 30 September 2008
Abstract
We study fermion mass matrices of the cascade form which are compatible with the tri-bimaximal lepton mixing and also with generation mass hierarchy. The cascade-form matrices lead to a parameter-independent relation among the lepton mixing angles and mass eigenvalues. The relation has several indications that the atmospheric neutrino mixing angle is close to maximal and the other two angles have a correlation independently of neutrino mass eigenvalues. We also discuss phenomenological aspects of the cascade-form matrices; flavor-violating rare decays of charged leptons, thermal leptogenesis, and leptonic CP violation. Possible dynamical origins of the cascade form are discussed based on flavor symmetry and in higher-dimensional theory.

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