Model independent analysis of Dirac CP violating phase for some well-known mixing scenarios

In this paper, we present a model independent analysis of Leptonic CP violation for some well-known mixing scenarios. In particular, we considered modified schemes for bimaximal (BM), democratic (DC), hexagonal (HG) and tribimaximal (TBM) mixing for our numerical investigation. These model independent corrections to mixing matrices are parametrized in terms of complex rotation matrices (U) with related modified PMNS matrix of the forms Uijl V M,VM Uijr where Uijl,r is a complex rotation in ij sector and VM is unperturbed mixing scheme. We present generic formulae for mixing angles, Dirac CP phase (δCP) and Jarlskog invariant (JCP) in terms of correction parameters. The parameter space of each modified mixing case is scanned for fitting neutrino mixing angles using χ2 approach and the corresponding predictions for Leptonic CP phase (δCP) and Jarlskog invariant (JCP) has been evaluated from allowed parameter space. The obtained ranges are reported for all viable cases.