Neutrino masses from SUSY breaking in radiative seesaw models

Abstract

We study the possibility that neutrino masses (mv) are proportional to small supersymmetry (SUSY) breaking effects that take place within the sector responsible for generating mv at the quantum level. We specifically consider the case in which lepton number (L-number) breaking is independent of SUSY breaking (), so that this connection can be seen to be a consequence of the SUSY non-renormalisation theorem. We show that the simplest one-loop models realising this idea generate LLHH operators suppressed by at least μmsoft /M3 or m2soft/M3, where msoft is the scale of soft- effects involving the seesaw mediators, which possess superpotential masses of order M (the L-number breaking scale). We exemplify this possibility by constructing one such model based on a one-loop type-II seesaw. This contribution summarises the work published in [1].