Supersymmetric contribution to the neutrino mass matrix and breaking of μ-τ symmetry

Supersymmetry (SUSY) broken by anomaly mediation suffers from tachyonic slepton masses. A possible solution to this problem results in "decoupling," i.e., the first two generations of sfermions are much heavier than the third one. We note that in this scenario a sizable loop-induced contribution to the neutrino mass matrix results. As an application of this scenario we take advantage of the fact that the decoupling evidently does not obey 2-3 generation exchange symmetry. In the neutrino sector, this 2-3 symmetry (or mu-tau symmetry) is a useful Ansatz to generate zero theta(13) and maximal theta(23). The induced deviations from these values are given for some examples, including bimaximal and tribimaximal mixing. We are thereby able to link SUSY breaking to the small parameters (including possibly the solar mass splitting) of the neutrino sector.