Unveiling the Impact of Generalized CP Symmetry on 2HDM and Neutrino Physics
摘要
We have proposed a model that incorporates the idea of generalized CP symmetries (GCP) in two-Higgs-doublet model (2HDM), with Type-I seesaw mechanism, in the leptonic sector. The imposition of GCP results in simplified scalar and Yukawa sectors leading to reduction in the number of free parameters. The framework results in stringent constraints on the Yukawa couplings yielding a model characterized by only 12 independent real parameters in the Yukawa coupling matrices. Furthermore, under the GCP symmetry, the right-handed Majorana neutrino mass matrix becomes diagonal featuring two degenerate masses. The second Higgs doublet acquires a complex vacuum expectation value (VEV) after soft breaking of the GCP symmetry which seeds the CP-violation in the model. We have investigated the phenomenology of the model considering both, normal (NH) as well as inverted (IH), hierarchies of neutrino masses. There exists an interesting interplay between possible neutrino mass hierarchy and atmospheric mixing angle, \(\theta _{23}\) . For normal (inverted) hierarchy \(\theta _{23}\) is found to be in the lower (higher) octant. Further, for NH, the Dirac CP phase \(\delta \) is constrained to a range of \(-10^\circ \) to \(10^\circ \) . On the other hand, when considering IH, the model becomes inherently CP-violating with CP-violating phase \(\delta \) confined to small regions near \(\pm 40^{\circ }\) .