Abstract
The minimal extension of the MSSM (NMSSM) has been widely studied in the search for a natural solution to the $\mu$ problem. In this work, we consider a variation of the NMSSM where an extra singlet is added and a Peccei-Quinn symmetry is imposed. We study its neutralino sector and compute the annihilation cross section of the lightest neutralino. We use existent cosmological and collider data to constrain the parameter space and consider the lightest neutralino, which is very light, as a dark matter candidate.
Highlights
The MSSM sector with SM gauge singlets
The minimal extension of the MSSM, refered to as the next-to-minimal SUSY Standard Model or NMSSM, incorporates a single gauge singlet and was introduced primarily to address the μ-problem of the MSSM (For reviews, see [11,12,13].) This model has had its fair share of success, but it is not clear how one can naturally generate the Higgs mass on the order of 125 GeV without introducing some degree of fine tuning, arguably as large as in the MSSM [14]
It has been noted that a generalized version of the NMSSM that follows from underlying discrete R-symmetries can reduce the amount of fine tuning in the scalar sector [27,28,29]
Summary
We modify the S-MSSM [33, 34] by replacing the supersymmetric mass term for the SM gauge singlet Sby an additional SM gauge singlet superfield N. Somewhat unnatural since there exist contributions to the one-loop renormalization group equation for m2S that are proportional to A2λ [12], that in our framework is large in order to decouple the MSSM-like pseudoscalar, with mass given in equation (2.8), from the spectrum. One may alleviate this by embedding the model into a SUSY breaking mediation mechanism where the scale of SUSY breaking is not very high
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