Charged lepton correction to tribimaximal lepton mixing and its implications to neutrino phenomenology

Abstract

The recent results from Daya Bay and RENO reactor neutrino experiments have firmly established that the smallest reactor mixing angle $\theta_{13}$ is non-vanishing at the $5 \sigma$ level, with a relatively large value, i.e., $\theta_{13}\approx 9^{\circ}$. Using the fact that the neutrino mixing matrix can be represented as $V_{\rm PMNS}=U_l^{\dagger} U_{\nu} P_\nu$, where $U_l$ and $U_\nu$ result from the diagonalization of the charged lepton and neutrino mass matrices and $P_\nu$ is a diagonal matrix containing the Majorana phases and assuming the tri-bimaximal form for $U_\nu$, we investigate the possibility of accounting for the large reactor mixing angle due to the corrections of the charged lepton mixing matrix. The form of $U_{l}$ is assumed to be that of CKM mixing matrix of the quark sector. We find that with this modification it is possible to accommodate the large observed reactor mixing angle $\theta_{13}$. We also study the implications of such corrections on the other phenomenological observables.