Grand unification of $μ-τ$ Symmetry

Details Grand unification of $μ-τ$ Symmetry Grand unification of $μ-τ$ Symmetry

2006-03-02

arxiv.org/abs/hep-ph/0603020v1

Phys.Lett. B636 (2006) 114-118

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages and 4 figures

Scientific paper

10.1016/j.physletb.2006.03.049

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 $\theta_{13}$ and looking for its correlation with $\theta_{23}-\pi/4$. 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 $\theta_{13}$ from its zero $\mu-\tau$ symmetric value to a nonzero value keeping it under an upper limit.

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