$\sin{\theta}_{13}$ and neutrino mass matrix with an approximate flavor symmetry

TL;DR

This paper demonstrates that with an approximate flavor symmetry and near degenerate neutrino masses, the tribimaximal mixing pattern can be preserved even with a non-zero reactor angle, implying a specific mu-tau symmetry violation.

Contribution

It shows how an approximate flavor symmetry in the neutrino mass matrix can sustain tribimaximal mixing despite a non-zero reactor angle.

Findings

Tribimaximal atmospheric and solar angles are maintained with non-zero $ heta_{13}$.

Non-zero $ heta_{13}$ indicates an approximate $ u_{ au} ightarrow- u_{ au}$ symmetry.

The model links neutrino mass degeneracy with mixing angle stability.

Abstract

For a neutrino mass matrix whose texture has an approximate flavor symmetry and where one has near degenerate neutrino mass, it is shown that the tribimaximal values for atmospheric angle $\sin^{2}{\theta_{23}}=1/2$ and solar angle $\sin^{2}{\theta_{12}}=1/3$ can be maintained even when the reactor angle $\theta_{13}\neq0$. The non zero $\sin\theta_{13}$ implies approximate $\nu_{\mu}\rightarrow-\nu_{\tau}$ symmetry instead of $\nu_{\mu}\rightarrow\nu_{\tau}$ symmetry.