Zee Neutrino Mass Model in SUSY Framework

TL;DR

This paper explores embedding the Zee neutrino mass model into a supersymmetric framework, analyzing its feasibility and proposing extended models with additional Higgs doublets to better realize the Zee mechanism.

Contribution

It introduces a supersymmetric realization of the Zee neutrino mass model using R-parity violation, and discusses extensions with extra Higgs doublets for improved viability.

Findings

Minimal SUSY Zee model is marginally feasible.

Certain R-parity-violating couplings can produce the desired neutrino masses.

Extended models with extra Higgs doublets offer more promising realizations.

Abstract

We study the Zee model of neutrino mass in the framework of R-parity violating supersymmetry. Within the matter contents of the minimal supersymmetric standard model, any one of the three right-handed sleptons could be a suitable candidate for the charged-singlet scalar of the Zee model, and one of the Higgs doublets provides the extra necessary vacuum expectation value. A combination of one bilinear and two trilinear R-parity-violating couplings then completes the model. In this framework, we also discuss other various contributions to neutrino masses and derive the conditions for the dominance of the contribution from the Zee model, and hence maintain the successfully Zee mass texture. However, this model within the minimal supersymmetric standard model is shown to be only marginally feasible. More general versions of supersymmetrization of the Zee model are also discussed. A particularly interesting example that has extra Higgs doublets while the slepton, especially the selectron, keeps the role of the Zee scalar is illustrated.