Predictive framework with a pair of degenerate neutrinos at a high scale

• Published in: Nuclear physics. B 2003-06, Vol.660 (1), p.362-372
• Main Authors: Joshipura, Anjan S., Rindani, Saurabh D., Singh, N.Nimai
• Format: Article
• Language: English
• ISSN: 0550-3213; 1873-1562
• DOI: 10.1016/S0550-3213(03)00236-0

Radiative generation of the solar scale Δ ⊙ is discussed in the presence of leptonic CP violation. We assume that both the solar scale and U e3 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 ⊙cos2 θ ⊙≈4 δ τ sin 2 θ A | m ee | 2 for the solar scale in terms of the radiative correction parameter δ τ , the physical solar (atmospheric) mixing angles θ ⊙ (θ A) and the Majorana neutrino mass m ee 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.