μ problem in an extended gauge mediation supersymmetry breaking

We study the μ problem and radiative electroweak symmetry breaking in an extended gauge mediation supersymmetry breaking model, in which the messenger fields are assumed to couple to the different singlet fields due to the discrete symmetry. Since the spectrum of superpartners is modified, the constraint from the μ problem can be relaxed in comparison with the ordinary GMSB at least from the viewpoint of radiative symmetry breaking. We study the consistency of the values of μ and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$B_\mu$\end{document} with radiative electroweak symmetry breaking and also the mass spectrum of the superpartners.