Abstract
We propose a small extenion of the minimal gauge mediation through the combination of extended gauge mediation and conformal sequestering. We show that the focus point supersymmetry can be realized naturally, and the fine-tuning is signifcantly reduced compared to the minimal gauge mediation and extended gauge mediation without focus point. The Higgs boson mass is around 125 GeV, the gauginos remain light, and the gluino is likely to be detected at the next run of the LHC. However, the multi-TeV squarks is out of the reach of the LHC. The numerical calculation for finetuning shows that this model remains natural.
Highlights
One can understand this issue from the tree-level condition of electroweak symmetry breaking (EWSB) which relates the Higgs soft-breaking masses, the μ parameter and mZ
We show that the focus point supersymmetry can be realized naturally, and the fine tuning is significantly reduced compared to the minimal gauge mediation and extended gauge mediation without focus point
A detailed discussion of the mass spectrum and the dark matter properties of a neutralino lightest supersymmetric particle (LSP) will be given elsewhere. The phenomenology of this model is different from conventional gauge-mediated supersymmetry breaking (GMSB), since the NLSP (LSP)is neutralino rather than stau in most of the parameter space, which could be seen in figure 9
Summary
We propose an economic and complete model to achieve FP SUSY in GMSB. The messenger sector of our model consists of a pair (5, ̄5) and an singlet under SU(5). In the messenger sectors larger than the one discussed here, the superpotential interactions between the Higgs fields and messengers charged under SU(3)C might be allowed Those terms would cause negative contribution ∼ λ2g32. The extra interaction between Higgs and messenger superfields is often used to generate large A-terms as well This enhances the Higgs mass and improves the fine-tuning. In conformal sequestering the gaugino masses are relatively light compared to the other masses because of large negative anomalous dimensions If At would not be suppressed, the model will become FP SUSY with large A-term, which greatly improves the fine-tuning since it is easier to obtain mh 125 GeV. In our setup stop masses of several TeV are needed and the overall fine-tuning is around 3000, which is well accepted [120, 121] and a big improvement compared to the minimal GMSB
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