1211.6506 (Gui-Jun Ding et al.)

Bi-large Neutrino Mixing and Abelian Flavor Symmetry    [PDF]

Gui-Jun Ding, S. Morisi, J. W. F. Valle

We explore two Bi-large Neutrino Mixing anzatse within the context of Abelian flavor symmetry theories: ($\mathrm{\tt BL_1}$) $\sin\theta_{12}\sim\lambda$, $\sin\theta_{13}\sim\lambda$, $\sin\theta_{23}\sim\lambda$ and ($\mathrm{\tt BL_2}$) $\sin\theta_{12}\sim\lambda$, $\sin\theta_{13}\sim\lambda$, $\sin\theta_{23}\sim 1-\lambda$. The first pattern was proposed by two of us and is favored if the atmospheric mixing angle $\theta_{23}$ lies in the first octant, while the second one is preferred for the second octant of $\theta_{23}$. In order to reproduce the second texture, we find that the flavor symmetry should be $U(1)\times Z_m$, while for the first pattern one the flavor symmetry should be extended to $U(1)\times Z_m\times Z_n$ with $m$ and $n$ of different parity. Explicit models for both mixing patterns are constructed based on the flavor symmetries $U(1)\times Z_3\times Z_4$ and $U(1)\times Z_2$. The models are extended to the quark sector within the framework of SU(5) grand unified theory in order to give a successful description of quark and lepton masses and mixing simultaneously. Phenomenological implications are discussed.

View original: http://arxiv.org/abs/1211.6506