Prediction of $U_{e3}$ in Neutrino Mass Matrix with Two Zeros

Abstract

We have discussed predictions of $|U_{e3}|$ and $J_{CP}$ in the framework of the neutrino mass matrix with two zeros. In the case of the best fit values of ${\tan }^2{\theta }_{12}$, ${\tan }^2{\theta }_{23}$, $\Delta m_{\mathrm{sun}}^2$ and $\Delta m_{\mathrm{atm}}^2$, the prediction of $|U_{e3}|$ is $0.11\sim 0.14$. The lower bound of $|U_{e3}|$ is 0.05, which depends on $\tan {\theta }_{12}$ and $\tan {\theta }_{23}$. We have investigated the stability of these predictions taking account of small corrections to zeros, which may come from radiative corrections or off-diagonal elements of the charged lepton massmatrix. The lower bound of $|U_{e3}|$ comes down considerably due to the small corrections to zeros.

Comments: Figures and discussions are added