Taoli Cheng, Jinmian Li, Tianjun Li, Xia Wan, You kai Wang, Shou-hua Zhu
From the current ATLAS and CMS results on Higgs boson mass and decay rates, the NMSSM is obviously better than the MSSM. To explain the fine-tuning problems such as gauge hiearchy problem and strong CP problem in the SM, we point out that supersymmetry does not need to provide a dark matter candidate, i.e., R-parity can be violated. Thus, we consider three kinds of the NMSSM scenarios: in Scenarios I and II R-parity is conserved and the lightest neutralino relic density is respectively around and smaller than the observed value, while in Scenario III R-parity is violated. To fit the experimental data, we consider the $\chi^2$ analyses for all three kinds of Scenarios. For the good fits with small $\chi^2$ values and the fine-tuning around 2%, we obtain the viable parameter space with light supersymmetric particle spectra only in Scenario I, which can explain the Higgs boson mass and decay rates very well. With the small $\chi^2$ values and fine-tuning around 1% we can get the viable parameter space with relatively heavy supersymmetric particle spectra, which can explain the Higgs boson mass and decay rates very well and relax the LHC supersymmetry search constraints in Scenarios I and II. In all the viable parameter space, the anomalous magnetic moment of the muon $(g_{\mu} - 2)/2$ are small and may be increased via the R-parity violation terms. Therefore, Scenario III with R-parity violation may be more natural and realistic than Scenarios I and II.
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http://arxiv.org/abs/1207.6392
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