Some implications of a supersymmetric model with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>R</mml:mi></mml:math>-parity-breaking bilinear interactions

Abstract

We investigate a supersymmetric scenario where $R$ parity is explicitly broken through a term bilinear in the lepton and Higgs superfields in the superpotential. We show that keeping such a term alone can lead to trilinear interactions, similar to those that are parametrized by $\ensuremath{\lambda}$ and ${\ensuremath{\lambda}}^{\ensuremath{'}}$ in the literature, involving the physical fields. The upper limits of such interactions are predictable from the constraints on the parameter space imposed by the lepton masses and the neutrino mass limits. It is observed that thus the resulting trilinear interactions are restricted to values that are smaller than the existing bounds on most of the $\ensuremath{\lambda}$ and ${\ensuremath{\lambda}}^{\ensuremath{'}}$ parameters. Some phenomenological consequences of such a scenario are discussed.