Simple Mass Matrix Ansätze for Neutrino Mixing

Abstract

We estimate the PMNS (Pontecorvo-Maki-Nakagawa-Sakata) matrix in terms of neutrino and charged lepton mixing given as $U_{\mathrm{PMNS}}=V_{\mathrm{lep}}^{†}({\tilde{\theta }}_{13})U_{\nu }({\tilde{\theta }}_{23},{\tilde{\theta }}_{12})$, based on a new (emergent) global lepton flavor symmetry. The neutrino and charged lepton mass matrices have simple textures. The resulting $U_{\mathrm{PMNS}}$ gives excellent agreement with experimental data (including $|U_{e3}|\simeq 0.16$).

Comments: 5 pages (two-column), one table, revtex4-1, further clarifications emphasizing the emergent nature of the symmetry