Predictive framework with a pair of degenerate neutrinos at a high scale Original Research Article

Radiative generation of the solar scale Δ⊙ is discussed in the presence of leptonic CP violation. We assume that both the solar scale and Ue3 are zero at a high scale and the weak radiative corrections generate them. It is shown that all leptonic mass matrices satisfying these requirements lead to a unique prediction Δ⊙cos2θ⊙≈4δτsin2θA|mee|2 for the solar scale in terms of the radiative correction parameter δτ, the physical solar (atmospheric) mixing angles θ⊙ (θA) and the Majorana neutrino mass mee probed in neutrinoless double beta decay. This relation is independent of the mixing matrix and CP-violating phases at the high scale. The presence of CP-violating phases leads to dilution in the solar mixing angle defined at the high scale. Because of this, bi-maximal mixing pattern at the high energy leads to large but non-maximal solar mixing in the low-energy theory. An illustrative model with this feature is discussed.