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arXiv · hep-ph/0507217

Model of Geometric Neutrino Mixing

K. S. Babu·Xiao-Gang He
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Abstract

Current neutrino oscillation data from solar, atmospheric, and reactor experiments are consistent with the neutrino mixing matrix elements taking values sin^2θ_{12} = 1/3, sin^2θ_{23} = 1/2, and sin^2θ_{13}=0. We present a class of renormalizable gauge models which realize such a geometric mixing pattern naturally. These models, which are based on the non--Abelian discrete symmetry A_4, place significant restrictions on the neutrino mass spectrum, which we analyze. It is shown that baryogenesis via leptogenesis occurs quite naturally, with a single phase (determined from neutrino oscillation data) appearing in leptonic asymmetry and in neutrinoless double beta decay. Such predicted correlations would provide further tests of this class of models.

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K. S. Babu, Xiao-Gang He. 2005-07-20. Model of Geometric Neutrino Mixing. https://arxiv.org/abs/hep-ph/0507217

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