Predicting neutrino oscillations with "bi-large" lepton mixing matrices

Abstract

We propose two schemes for the lepton mixing matrix $U=U_l^{†}{U}_{\nu }$, where $U=U_l$ refers to the charged sector, and $U_{\nu }$ denotes the neutrino diagonalization matrix. We assume $U_{\nu }$ to be CP conserving and its three angles to be connected with the Cabibbo angle in a simple manner. CP violation arises solely from the $U_l$, assumed to have the CKM form, $U_l\simeq V_{\mathrm{CKM}}$, suggested by unification. Oscillation parameters depend on a single parameter, leading to narrow ranges for the "solar" and "accelerator" angles ${\theta }_{12}$ and ${\theta }_{23}$, as well as for the CP phase, predicted as ${\delta }_{\mathrm{CP}}\sim 1.3\pi$.

Comments: 6 pages, 7 figures