Inverse seesaw in supersymmetry

preprint2011arXivOpen access

Abstract

We study a mechanism where tiny neutrino masses arise only from radiative contribution in a supersymmetric model. In each generation, the tree-level light neutrino mass is rotated away by introducing a second SM singlet sLs_{L} that forms a Dirac mass term with the right-handed neutrino nRn_{R}. Even with non-zero Majorana neutrino mass for the right-handed neutrinos MRnRcˉnRM_{R} \bar{n^{c}_{R}} n_{R}, the lightest neutrino remains massless at tree level due to an approximate symmetry as U(1)ν−sU(1)_{ν-s}. Holomorphic feature of superpotential ensures that the Majorana neutrino masses MRnRcˉnRM_{R} \bar{n^{c}_{R}} n_{R} and MR∗sLcˉsLM^{*}_{R} \bar{s^{c}_{L}} s_{L} are not generated simultaneously. However, the U(1)ν−sU(1)_{ν-s} is not respected by the SM gauge interactions or interaction with Higgs. Consequently, tiny neutrino masses arise from radiative contributions. It is also shown that the right-handed neutrino Majorana mass MRM_{R} can be at O\cal O(KeV) to obtain the proper light neutrino mass.

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