Phenomenology of the General NMSSM with Gauge Mediated Supersymmetry Breaking
U. Ellwanger, C.-C. Jean-Louis, A.M. Teixeira

TL;DR
This paper explores gauge mediated supersymmetry breaking within the Next-to-Minimal Supersymmetric Standard Model, demonstrating solutions to the mu-problem and analyzing phenomenological viability including light scalars and Higgs decay modes.
Contribution
It presents new classes of GMSB models that address the mu-problem and predict distinctive scalar spectra and decay channels, expanding the phenomenological landscape of NMSSM.
Findings
Models with singlet tadpole terms are phenomenologically viable.
Light CP-odd scalars act as pseudo R-axions in certain scenarios.
Higgs bosons below 114 GeV decay mainly into CP-odd pairs.
Abstract
We investigate various classes of Gauge Mediated Supersymmetry Breaking models and show that the Next-to-Minimal Supersymmetric Standard Model can solve the mu-problem in a phenomenologically acceptable way. These models include scenarios with singlet tadpole terms, which are phenomenologically viable, e.g., in the presence of a small Yukawa coupling <~ 10^{-5}. Scenarios with suppressed trilinear A-terms at the messenger scale lead naturally to light CP-odd scalars, which play the r\^ole of pseudo R-axions. A wide range of parameters of such models satisfies LEP constraints, with CP-even Higgs scalars below 114 GeV decaying dominantly into a pair of CP-odd scalars.
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