Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-11-29
Phys.Lett.B646:242-247,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
RevTex 9 pages, 2 PS figures. More discussions added. Version accepted for publication in Phys. Lett. B
Scientific paper
10.1016/j.physletb.2007.01.040
We consider an effective Majorana neutrino mass operator with the Friedberg-Lee symmetry; i.e., it is invariant under the transformation \nu_\alpha -> \nu_\alpha + z (for \alpha = e, \mu, \tau) 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 \theta_13 in terms of two known angles: \sin\theta_13 = \tan\theta_12 |(1- \tan\theta_23)/ (1+\tan\theta_23)|. The model can simply be generalized to accommodate CP violation and be combined with the seesaw mechanism.
Luo Shu
Xing Zhi-zhong
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