Predicting leptonic CP phase by considering deviations in charged lepton and neutrino sectors

Abstract

Recently, the reactormixing angle θ13 has beenmeasured precisely byDaya Bay, RENO, and T2K experiments with a moderately large value. However, the standard form of neutrino mixing patterns such as bimaximal, tri-bimaximal, golden ratio of types Aand B, hexagonal, etc., which are based on certain flavor symmetries, predict vanishing θ 13.Using the fact that the neutrinomixingmatrix can be represented asVPMNS UI Uv Pv where Ul andU? result from the diagonalization of the charged lepton and neutrino mass matrices and Pv is a diagonal matrix containing Majorana phases, we explore the possibility of accounting for the large reactor mixing angle by considering deviations both in the charged lepton and neutrino sector. In the charged lepton sector we consider the deviation as an additional rotation in the (12) and (13) planes, whereas in the neutrino sector we consider deviations to various neutrino mixing patterns through (13) and (23) rotations.Wefind that with the inclusion of these deviations it is possible to accommodate the observed large reactormixing angle θ13, and one can also obtain limits on the charge-conjugation parity-violatingDirac phaseδCP and Jarlskog invariant JCP for most of the cases.Wethen explore whether our findings can be tested in the currently running NuMI Off-axis ve Appearance experiment with three years of data taking in neutrino mode followed by three years with the anti-neutrino mode.