New Minimal Extension of MSSM

Abstract

We construct a new minimal extension of the Minimal Supersymmetric Standard Model (MSSM) by promoting the $μ$-parameter to a singlet superfield. The resulting renormalizable superpotential is enforced by a $\mathcal{Z}_5$ $R$-symmetry which is imposed on the non-renormalizable operators as well. The proposed model provides a natural solution to the $μ$-problem and is free from phenomenological and cosmological problems.