Radiative origin of solar scale and U_e3

Abstract

We make a general study of possibility of generating solar scale Δ_⊙ and the CHOOZ angle U_e3 radiatively by assuming that they are zero at some high scale. The most general neutrino mass matrix leading to this result is determined in a CP conserving theory. This matrix contains four independent parameters which can be fixed in terms of physical observables. The standard weak radiative corrections then lead to non-zero Δ_⊙ and U_e3 without drastically altering the other tree level results. As a consequence, both Δ_⊙ and U_e3 are predicted in terms of other physically observable parameters. These predictions are insensitive to specific form of the neutrino mass matrix. The solar scale and U_e3 are strongly correlated with the effective neutrino mass m_ee probed in neutrinoless double beta decay. In particular, the LMA solution to the solar neutrino problem arise for m_ee close to the present experimental limit. An example of specific texture is presented which predicts maximal atmospheric mixing and tan2θ_⊙≈0.5 for the solar mixing angle θ_⊙.