Abstract

The Next-to-Minimal Supersymmetric Standard Model (NMSSM) provides a natural framework to realize a low-scale supersymmetric (SUSY) model, where a singlet superfield is added to the minimal model to generate a SUSY-scale higgsino mass term with its vacuum expectation value. Due to the presence of the extra singlet field, the vacuum conditions to realize the correct electroweak symmetry-breaking become fairly restrictive especially if we impose universality conditions at the unification scale. In this paper, we show that a non-universal gaugino mass spectrum can significantly relax this restriction even though the scalar masses and trilinear couplings are subject to universality conditions. With the gaugino non-universality, we find that higgsino can be the lightest SUSY particle and its thermal relic abundance can reproduce the observed dark matter density in a wide range of parameter space in which the 125 GeV Higgs-boson mass is obtained. This higgsino-like dark matter may be probed in direct detection experiments. We also find that there is an upper bound on the masses of supersymmetric particles in this scenario, and many model points predict colored particles such as gluino to be within the reach of a future 100 TeV collider. Implications for no-scale/gaugino-mediation models are also discussed.

Highlights

  • In the Next-to-Minimal Supersymmetric Standard Model (NMSSM), both the singlet and the MSSM Higgs fields can acquire vacuum expectation value (VEV) only after SUSY is broken

  • We have evaluated the numerical coefficients of the above expressions by solving the two-loop renormalization group equations (RGEs) without imposing the universality conditions in the CNMSSM

  • We have discussed the effect of non-universal gaugino masses on the NMSSM with universal soft trilinear couplings and scalar masses

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Summary

Scalar sector in NMSSM

We review the scalar sector in the NMSSM with a particular focus on the vacuum conditions. [90], we can obtain a condition similar to eq (2.16) and this direction is again stabilized if scalar masses are sufficiently larger than the A-terms This direction includes a special case where Hu0 = Hd0 = 0 and S = 0. There is a condition similar to eq (2.16) for the presence of a local minimum in this direction [90], and the minimum disappears if scalar masses are larger than the A-terms squared. This direction contains two special cases where S = Hd0 = 0 and Hu0 = 0, or S = Hu0 = 0 and Hd0 = 0. We see that these conditions are satisfied as long as the A-terms are much smaller than the soft masses

CNMSSM
Effect of non-universal gaugino masses
Phenomenological implications
Summary and discussion
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