TL;DR
This paper reviews constrained versions of the NMSSM, focusing on the fully constrained cNMSSM with universal boundary conditions and the NMSSM with gauge-mediated supersymmetry breaking, analyzing their phenomenological viability and spectrum.
Contribution
It provides a comprehensive review of constrained NMSSM models, highlighting their parameter spaces, phenomenological constraints, and the role of singlet couplings in viability.
Findings
cNMSSM spectrum described by a single parameter after constraints
Singlino LSP is a common feature in cNMSSM
GMSB NMSSM viable with singlet coupling to messenger sector
Abstract
We review different constrained versions of the NMSSM: the fully constrained cNMSSM with universal boundary conditions for gauginos and all soft scalar masses and trilinear couplings, and the NMSSM with soft terms from Gauge Mediated Supersymmetry Breaking. Regarding the fully constrained cNMSSM, after imposing LEP constraints and the correct dark matter relic density, one single parameter is sufficient to describe the entire Higgs and sparticle spectrum of the model, which then contains always a singlino LSP. The NMSSM with soft terms from GMSB is phenomenologically viable if (and only if) the singlet is allowed to couple directly to the messenger sector; then various ranges in parameter space satisfy constraints from colliders and precision observables. Motivations for and phenomenological features of extra U(1)' gauge symmetries are briefly reviewed.
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