ar X iv : h ep - p h / 06 11 36 0 v 1 2 9 N ov 2 00 6 Friedberg - Lee Symmetry Breaking and Its Prediction for θ 13

نویسنده

  • Shu Luo
چکیده

We consider an effective Majorana neutrino mass operator with the FriedbergLee symmetry; i.e., it is invariant under the transformation να → να + 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 θ13 in terms of two known angles: sin θ13 = tan θ12|(1− tan θ23)/(1 + tan θ23)|. The model can simply be generalized to accommodate CP violation and be combined with the seesaw mechanism.

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تاریخ انتشار 2008