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arXiv · 0803.2895

Dynamically Solving the $μ/B_μ$ Problem in Gauge-mediated Supersymmetry Breaking

Tao Liu·Carlos E. M. Wagner
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Abstract

We provide a simple solution to the $μ/B_μ$ 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 $\frac{< F_i>}{< M_i>}$ 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 $m_N^2(Λ_{EW})$ and hence reasonable $μ/B_μ$ 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 $\tanβ$: $5 \sim 50$ and a heavy scalar spectrum. With the relatively large $\tanβ$, the light $U(1)_R$ 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 cases of low-, intermediate- and high-scale gauge-mediated SUSY breaking.

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Tao Liu, Carlos E. M. Wagner. 2008-04-10. Dynamically Solving the $μ/B_μ$ Problem in Gauge-mediated Supersymmetry Breaking. https://doi.org/10.1088/1126-6708%2F2008%2F06%2F073

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