Abstract
As a most natural realization of the Next-to Minimal Supersymmetry Standard Model (NMSSM), {\lambda}-SUSY is parameterized by a large {\lambda} around one and a low tan$\beta$ below 10. In this work, we first scan the parameter space of {\lambda}-SUSY by considering various experimental constraints, including the limitation from the Higgs data updated by the ATLAS and CMS collaborations in the summer of 2014, then we study the properties of the Higgs bosons. We get two characteristic features of {\lambda}-SUSY in experimentally allowed parameter space. One is the triple self coupling of the SM-like Higgs boson may get enhanced by a factor over 10 in comparison with its SM prediction. The other is the pair production of the SM-like Higgs boson at the LHC may be two orders larger than its SM prediction. All these features seems to be unachievable in the Minimal Supersymmetric Standard Model and in the NMSSM with a low {\lambda}. Moreover, we also find that naturalness plays an important role in selecting the parameter space of {\lambda}-SUSY, and that the Higgs $\chi^2$ obtained with the latest data is usually significantly smaller than before due to the more consistency of the two collaboration measurements.
Highlights
Higgs mass, which is controlled by the weak gauge coupling due to the structure of the model [37]
It was pointed out that in λ-SUSY, the sensitivity of the weak scale to the scalar top quark mass is reduced by a factor of ∼ (g/λ)2 in comparison with the MSSM (g is the SM weak gauge coupling), which means that the lower bound on the stop mass imposed by the LHC direct searches has a weaker implication on fine-tuning in this model than in the MSSM or the Next-to Minimal Supersymmetry Standard Model (NMSSM) with a low λ [53]
Given tan β = 3 and λ = 0.7, one can get mh,tree ≃ 97GeV, which means ∆2/m2h,tree ≃ 2/3 for the top-stop loop correction ∆2 in order to predict the 125GeV Higgs boson in no mixing case. Confronted with such a situation, λ-SUSY which corresponds to the NMSSM with a large λ around one was proposed [49,50,51,52,53]
Summary
The NMSSM extends the MSSM with one gauge singlet superfield S, and since it aims at solving the μ problem of the MSSM, a Z3 discrete symmetry under which the Higgs superfields Hu, Hd and Sare charged is implemented in the construction of the superpotential to avoid the appearance of parameters with mass dimension. Note that MA and MP represent the tree-level CP-odd particle masses only when the mixing between P1 and P2 vanishes With this set of input parameters, the mass matrix for CP-even Higgs bosons in the basis (S1, S2, S3) is given by [38,39,40]. Given tan β = 3 and λ = 0.7, one can get mh,tree ≃ 97GeV, which means ∆2/m2h,tree ≃ 2/3 for the top-stop loop correction ∆2 in order to predict the 125GeV Higgs boson in no mixing case Confronted with such a situation, λ-SUSY which corresponds to the NMSSM with a large λ around one was proposed [49,50,51,52,53].
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