Exploring the Higgs sector of a most natural NMSSM
Riccardo Barbieri, Dario Buttazzo, Kristjan Kannike, Filippo Sala,, Andrea Tesi

TL;DR
This paper investigates the Higgs sector in a natural NMSSM scenario with strong Higgs-singlet coupling, analyzing how Higgs measurements constrain model parameters and comparing predictions with the MSSM.
Contribution
It provides a detailed analysis of the Higgs sector in a natural NMSSM with large lambda, including coupling constraints, production cross sections, and decay modes, and compares with MSSM predictions.
Findings
Higgs coupling measurements restrict NMSSM parameter space.
Predicted cross sections and decay modes for heavier scalars are characterized.
Large lambda can be compatible with gauge coupling unification.
Abstract
The Next to Minimal Supersymmetric Standard Model (NMSSM) with a Higgs-singlet coupling {\lambda} close to unity, moderate tan {\beta} and stop masses below 1 TeV minimizes the fine tuning of the electroweak scale, making possible that the lightest new particles, except perhaps for the LSP, be part of the extended Higgs system. We show how the measurements of the couplings of the 126 GeV Higgs boson constrain the region of the physical parameters of a generic NMSSM most relevant to this context. In the same region of parameter space we determine the cross section for the production of a heavier CP-even scalar together with its total width and its most relevant branching ratios. For comparison we show the same analysis for the MSSM. We also comment on how a coupling {\lambda} ~ 1 can be compatible with gauge coupling unification.
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