Bilarge Neutrino Mixing and Abelian Flavor Symmetry

Abstract

We explore two bilarge neutrino mixing anz$\ddot{a}$tze within the context of Abelian flavor symmetry theories: ($\mathtt{B}{\mathtt{L}}_1$) $\sin {\theta }_{12}\sim \lambda$, $\sin {\theta }_{13}\sim \lambda$, $\sin {\theta }_{23}\sim \lambda$, and ($\mathtt{B}{\mathtt{L}}_2$) $\sin {\theta }_{12}\sim \lambda$, $\sin {\theta }_{13}\sim \lambda$, $\sin {\theta }_{23}\sim 1-\lambda$. The first pattern is 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 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.

23 pages, 4 figures, revised version which matches with the published one

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• Status and prospects of `bi-large' leptonic mixing
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