Predicting Leptonic CP Phase by Considering Deviations in Charged Lepton and Neutrino Sectors

摘要

Using the fact that the neutrino mixing matrix can be represented as U = U_l~?U_v, where U_l and U_v result from the diagonalization of the charged lepton and neutrino mass matrices, we explore the possibility of accounting mixing angles in line with observed data by considering U_l as identity matrix, U_v has the forms TBM (Tribimaximal mixing), BM (bimaximal mixing), GRA (Golden ratio A), GRB (Golden ratio B) and HG (hexagonal mixing) which are based on certain flavor symmetries and deviations both in charged lepton and neutrino sector. In the charged lepton sector, we consider the deviation as an additional rotation in the (12), (13) plane as well as the combined (23) and (13) rotations, whereas in neutrino sector we consider deviations due to (13) and (23) rotations. We find that inclusion of these deviations not only allow us to accommodate large θ_(13), but also to obtain limits on Dirac phase δ_(CP) for most of the cases. We then explore whether our findings can be tested in the currently running NOvA experiment with 3 years of data taking with neutrino mode followed by 3 years with anti neutrino mode.