Abstract
The observed Higgs boson mass and the naturalness argument leave us a narrow window for the soft mass spectrum in natural supersymmetry that can be studied through the electroweak precision tests (EWPTs). We divide the analysis into the Higgs sector constrained by the charged Higgs mass bound, the neutralino-chargino sector constrained by the chargino mass bound, and the third-generation squark sector tightly constrained by the observed Higgs mass. Total contributions to EWPTs in the MSSM and NMSSM are both presented. It turns out that natural MSSM is excluded at 68\% CL but consistent at 95\% CL, whereas natural NMSSM with nearly degenerate conditions is excluded at 68\% CL but consistent at 99\% CL for $\lambda\leq 0.6$.
Highlights
In subsection 3.1 to 3.3, we derive the contribution to electroweak precision tests (EWPTs) in individual sector numerically, and discuss the differences between the MSSM and NMSSM
It turns out that natural MSSM is excluded at 68% CL but consistent at 95% CL, whereas natural NMSSM with nearly degenerate conditions is excluded at 68% CL but consistent at 99% CL for λ ≤ 0.6
It is shown that natural MSSM is excluded at 68% CL but consistent at 95% CL, whereas natural NMSSM with nearly degenerate conditions is excluded at 68% CL but consistent at 99% CL for either μ ≤ 1 TeV or λ ≤ 0.6
Summary
We consider different values of tan β for the MSSM and the NMSSM due to different sensitivity to the Higgs boson mass. The constraint on μ in this sector mainly comes from the lower bound on lighter chargino mass, mχ > 103 GeV. Often this mass bound is roughly understood as μ > 100 GeV in the literature, given the explicit dependence of mχ on μ. The input parameters in the third-generation squark sector of MSSM and NMSSM are the same, which are given by,. For the MSSM the constraints on these soft mass parameters mainly arise from the fit to Higgs boson mass [1, 2] reported by the LHC. In the light of lower bounds on lighter stop mass [24,25,26,27,28,29,30] and sbottom mass [31,32,33] from the LHC experiments, we choose the lower bounds on soft masses mtL,R and mbL,R as in table 1
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