Radiative origin of solar scale and Ue3

Abstract

We make a general study of possibility of generating solar scale Δ⊙ and the CHOOZ angle Ue3 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 Ue3 without drastically altering the other tree level results. As a consequence, both Δ⊙ and Ue3 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 Ue3 are strongly correlated with the effective neutrino mass mee probed in neutrinoless double beta decay. In particular, the LMA solution to the solar neutrino problem arise for mee 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⊙.