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

Abstract

Using the fact that the neutrino mixing matrix can be represented as U = U†l Uν, where Ul and Uν 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 Ul as identity matrix, Uν has the forms TBM(Tribimaximalmixing), BM(bimaximalmixing),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 θ13, but also to obtain limits on Dirac phase δCP for most of the cases. We then explore whether our findings can be tested in the currently running NOνA experiment with 3 years of data taking with neutrino mode followed by 3 years with anti neutrino mode.