Leptonic CP violation in the supersymmetric standard model

Abstract

We point out the possibility of spontaneous and hard CP violation in the scalar potential of the R-parity broken supersymmetric standard model. The existence of spontaneous CP violation depends crucially on the R-parity-breaking terms in the superpotential and, in addition, on the choice of the soft supersymmetry-breaking terms. Unlike in theories with R-parity conservation, it is natural, in the context of the present model, for the sneutrinos to acquire (complex) vacuum expectation values. In the context of this model we examine here the global implications, such as the strength of the CP-violating interactions and the neutrino masses.