Reducing θ13θ13 to 9°

We propose to consider the possibility that the observed value of θ13θ13 is not the result of a correction from an initially vanishing value, but rather the result of a correction from an initially larger   value. As an explicit example of this approach, we consider analytically and numerically well-known CKM-like charged lepton corrections to a neutrino diagonalization matrix that corresponds to a certain mixing scheme. Usually this results in generating θ13=9°θ13=9° from zero. We note here, however, that 9 is not only given by 0+90+9, but also by 18−918−9. Hence, the extreme case of an initial value of 18 degrees, reduced by charged lepton corrections to 9 degrees, is possible. For some cases under study, new sum rules for the mixing parameters, and correlations with CP phases, are found.