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Grand unification of $μ-τ$ Symmetry

R. N. Mohapatra·S. Nasri·Hai-Bo Yu
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Abstract

Near maximal neutrino mixing needed to understand atmospheric neutrino data can be interpreted to be a consequence of an interchange symmetry between the muon and tau neutrinos in the neutrino mass matrix in the flavor basis. This idea can be tested by a measurement of the neutrino mixing parameter $θ_{13}$ and looking for its correlation with $θ_{23}-π/4$. We present a supersymmetric SU(5) grand unified model for quarks and leptons which obeys this exchange symmetry and is a realistic model that can fit all observations. GUT embedding shifts $θ_{13}$ from its zero $μ-τ$ symmetric value to a nonzero value keeping it under an upper limit.

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R. N. Mohapatra, S. Nasri, Hai-Bo Yu. 2006-03-02. Grand unification of $μ-τ$ Symmetry. https://doi.org/10.1016/j.physletb.2006.03.049

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