Implications of texture zeros for a variant of tribimaximal mixing

We study the phenomenological implications of the presence of two texture zeros in the neutrino mass matrix assuming that the neutrino mixing matrix has its first column identical to that of the tribimaximal mixing matrix. Only two patterns of this kind are compatible with the experimental data. These textures have definite predictions for the neutrino observables that are testable in future neutrino experiments.

Figure 1

The ratio $r=\mathrm{\Delta }{m}_{12}^2/\mathrm{\Delta }{m}_{13}^2$ as a function of $\varphi$ (degrees). The horizontal line depicts the experimental value of $r$. The inner solid bands depict the $1\sigma$ range and the outer gray bands depict the $3\sigma$ range.

Figure 2

The allowed region on $(\theta -\varphi )$ parameter space. The contours are at 1, 2, and $3\sigma$ confidence levels (CL) and all the angles are in degrees.

Figure 3

The predictions for ${\theta }_{23}$ and $\delta$ at 1, 2, and $3\sigma$ confidence levels where all the angles are in degrees.

Figure 4

Predictions for Majorana phases $\alpha$ and $\beta$ at 1, 2, and $3\sigma$ confidence levels where all the angles are in degrees.

Figure 5

Predictions for effective electron neutrino mass for $\beta$-decay and sum of neutrino masses at 1, 2, and $3\sigma$ confidence levels.

Figure 6

The inconsistency between $r$ and ${\theta }_{13}$ (degrees) for patterns ${\mathrm{B}}_1$ (left) and ${\mathrm{B}}_3$ (right).