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We provide a simple solution to the $\mu/B_\mu$ problem in the gauge-mediatedNext-to-Minimal Supersymmetric Standard Model. In this model the messengersector contains one pair of $3+\bar 3$ and one pair of $2+\bar 2$ messengers.These two messenger pairs couple to different gauge singlets in the hiddensector in which supersymmetry (SUSY) is broken. Such a gauge-mediationstructure can naturally arise in many backgrounds. Because of the two effectiveSUSY breaking scales $\frac{< F_i>}{< M_i>}$ in the messenger sector, therenormalization group evolutions of the soft SUSY breaking parameters can beproperly modified, leading to a negative enough singlet soft mass square$m_N^2(\Lambda_{EW})$ and hence reasonable $\mu/B_\mu$ values. In most of theperturbative (up to the GUT scale) parameter region, as a result, theelectroweak scale is stabilized and phenomenologically interesting mass spectraof particles and superparticles are obtained. In addition, this model favorslarge values of $\tan\beta$: $5 \sim 50$ and a heavy scalar spectrum. With therelatively large $\tan\beta$, the light $U(1)_R$ pseudoscalar (mainly appearingin the low-scale gauge-mediated SUSY breaking models) becomes extremelysinglet-like, and is no longer a problem in this model. These features apply toall cases of low-, intermediate- and high-scale gauge-mediated SUSY breaking.

Dynamically Solving the $\mu/B_\mu$ Problem in Gauge-mediated Supersymmetry Breaking