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We study the $\mu$ problem and the radiative electroweak symmetry breaking inan extended gauge mediation supersymmetry breaking (GMSB) model, in which themessenger fields are assumed to couple to the different singlet fields due tothe discrete symmetry. Since the spectrum of superpartners is modified, theconstraint from the $\mu$ problem can be relaxed in comparison with theordinary GMSB at least from the viewpoint of radiative symmetry breaking. Westudy the consistency of the values of $\mu$ and $B_\mu$ with the radiativeelectroweak symmetry breaking and also the mass spectrum of superpartners. Wepresent such a concrete example in a supersymmetric SU(5) unified model whichis constructed from a direct product gauge structure by imposing thedoublet-triplet splitting.Comment: 17 pages, latex, 4 figure

μ problem in an extended gauge mediation supersymmetry breaking