Prediction of |V₁₃| and the Dirac phase in the Neutrino Mixing Matrix

We considered a model where |V_{13}|=0 so that delta=0 at M_R and analyzed mixing angles and CP violation angles at the low energy scale by using the renormalization group in the MSSM model. In this model, parameters at M_R scale are two mixing angles (theta_{12} and theta_{23}), three neutrino masses, and two Majorana phases. We found that (1) sin^2 2 theta_{12} at the low energy scale must be less than that at $M_R$ scale, (2) the induced |V_{13}| can be as large as 0.05 if masses of neutrinos are around 0.05 eV.