Abstract
We provide a simple solution to the {mu}/B{sub {mu}} problem in the gauge-mediated Next-to-Minimal Supersymmetric Standard Model. In this model the messenger sector 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 hidden sector in which supersymmetry (SUSY) is broken. Such a gauge-mediation structure can naturally arise in many backgrounds. Because of the two effective SUSY breaking scales / in the messenger sector, the renormalization group evolutions of the soft SUSY breaking parameters can be properly modified, leading to a negative enough singlet soft mass square m{sub N}{sup 2}({Lambda}{sub EW}) and hence reasonable {mu}/B{sub {mu}} values. In most of the perturbative (up to the GUT scale) parameter region, as a result, the electroweak scale is stabilized and phenomenologically interesting mass spectra of particles and superparticles are obtained. In addition, this model favors large values of tan {beta}: 5 {approx} 50 and a heavy scalar spectrum. With the relatively large tan {beta}, the light U(1){sub R} pseudoscalar (mainly appearing in the low-scale gauge-mediated SUSY breaking models) becomes extremely singlet-like, and is no longer a problem in this model. These features apply to all casesmore » of low-, intermediate- and high-scale gauge-mediated SUSY breaking.« less
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