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arXiv · hep-ph/0111215

Bimaximal Neutrino Mixings from Lopsided Mass Matrices

K. S. Babu·S. M. Barr
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Abstract

Current solar and atmospheric neutrino oscillation data seem to favor a bimaximal pattern for neutrino mixings where the matrix elements U_{e2} and U_{μ3} are of order one, while U_{e3} is much smaller. We show that such a pattern can be obtained quite easily in theories with ``lopsided'' mass matrices for the charged leptons and the down type quarks. A relation connecting the solar and atmospheric neutrino mixing angles is derived, \tan^2θ_{atm} \simeq 1+ \tan^2θ_{sol}, which predicts \sin^2 2θ_{atm} \simeq 0.97 corresponding to the best fit LMA solution for solar neutrinos. Predictive schemes in SO(10) realizing these ideas are presented. A new class of SO(10) models with lopsided mass matrices is found which makes use of an adjoint VEV along the I_{3R} direction, rather than the traditional B-L direction.

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K. S. Babu, S. M. Barr. 2001-11-16. Bimaximal Neutrino Mixings from Lopsided Mass Matrices. https://doi.org/10.1016/s0370-2693(01)01455-1

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