CP Phase Analysis Using Quark-Lepton Complementarity Model in $$3+1$$ Scenario

Abstract

The existence of sterile neutrino is revolutionizing Physics from the smallest to the largest scale. After the recent reports from the MiniBooNE experiment at Fermi lab that observed far more \(\nu _{e}\) appearance data than expected, suggesting the possible existence of the fourth generation of another generation of neutrinos. These results would provide challenges for the Standard Model of Particle Physics if it is confirmed in future experiments and will have imperative implications on cosmology and astroparticle physics. Also, this will require new neutrino mass models to accommodate these degrees of freedom. With respect to that, the current work is just the extension of our recent work toward the CP phase analysis of Quark-Lepton Complementarity (QLC) model in \(3+1\) scenario. The parametrization of non-trivial correlation between \(CKM_{4}\) and \(PMNS_{4}\) using Monte Carlo Simulation is used to estimate the texture of \(V_{m_{4}}\). We have predicted the numerical ranges for sterile neutrino parameters and also investigated the values for Dirac CP violation phases and the CP re-phasing invariants using the model in \(3+1\) scenario. The consequences of the model are the predictions for CP-Violating phase invariant J, Dirac phase \(\phi \), and the sterile neutrino parameters. The results obtained numerically and analytically this paper stood in good agreement with the experimental data. The results of this work would be very important in view of future sterile neutrino experiments.