Friedberg-Lee Symmetry Breaking and Its Prediction for theta_13

Abstract

We consider an effective Majorana neutrino mass operator with the Friedberg-Lee symmetry; i.e., it is invariant under the transformation ν_α-> ν_α+ z (for α= e, μ, τ) with z being a space-time independent constant element of the Grassmann algebra. We show that this new flavor symmetry can be broken in such a nontrivial way that the lightest neutrino remains massless but an experimentally-favored neutrino mixing pattern is achievable. In particular, we get a novel prediction for the unknown neutrino mixing angle θ_13 in terms of two known angles: \sinθ_13 = \tanθ_12 |(1- \tanθ_23)/ (1+\tanθ_23)|. The model can simply be generalized to accommodate CP violation and be combined with the seesaw mechanism.

RevTex 9 pages, 2 PS figures. More discussions added. Version accepted for publication in Phys. Lett. B

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