Zhaofeng Kang, Tianjun Li, Tao Liu, Chunli Tong, Jin Min Yang
To obtain a Higgs boson around 125 GeV in the Minimal Supersymmetric Standard Model (MSSM) with minimal gauge mediated supersymmetry breaking (GMSB), a heavy stop at multi-TeV level is needed and thus incurs some fine-tuning, which can be ameliorated in the framework of deformed GMSB with visible-hidden direct Yukawa interactions (YGMSB). We examine some general features of the YGMSB and focus on the Higgs-messenger couplings which automatically maintain the minimal flavor violation (MFV). It turns out that such a Yukawa mediation can give a large $-A_t$ and $-m_{stop_{L,R}}^2$, leading to a maximal stop mixing, and thus the lighter stop ($\tilde t_1$) can be readily below TeV scale. However, we find that in the minimal model of YGMSB, $m_{H_u}^2$ is too large, and then the electroweak symmetry breaking is inconsistent with the large stop mixing. To solve this problem, we propose two realistic hidden sectors, a new strong gauge dynamics and a $(10,\bar{10})$ messenger. We present some numerical study for each scenario as well.
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http://arxiv.org/abs/1203.2336
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