Particle spectrum in the modified NMSSM in the strong Yukawa coupling limit

Abstract

A theoretical analysis of solutions of renormalisation group equations in the MSSM corresponding to the quasi-fixed point conditions shows that the mass of the lightest Higgs boson in this case does not exceed $94\pm 5\text{GeV}$. It means that a substantial part of the parameter space of the MSSM is practically excluded by existing experimental data from LEP II. In the NMSSM the upper bound on the lightest Higgs boson mass reaches its maximum in the strong Yukawa coupling regime, when Yukawa constants are considerably larger the gauge ones on the Grand Unification scale. In this paper a particle spectrum in a simple modification of NMSSM which leads to a self-consistent solution in the considered region of the parameter space is studied. This model allows one to get $m_h\sim 125\text{GeV}$ even for comparatively low values of $\tan \beta \ge 1.9$. For an analysis of the Higgs boson spectrum and neutralino spectrum a method for diagonalisation of mass matrices proposed formerly is used. The mass of the lightest Higgs boson in this model does not exceed $130.5\pm 3.5\text{GeV}$.

34 pages, 5 figures included, LaTeX 2e

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• Quasi-fixed point scenarios and the Higgs mass in the E6 inspired SUSY models
• Dark Matter in a Constrained $E_6$ Inspired SUSY Model
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• E6 inspired SUSY models with Custodial Symmetry
• On the origin of approximate custodial symmetry in the Two-Higgs Doublet Model
• Renormalization of the soft SUSY breaking terms in the strong Yukawa coupling limit in the NMSSM
• Leptogenesis and Dark Matter-Nucleon Scattering Cross Section in the SE6SSM
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• Interactions of exotic neutralino dark matter with nucleons in $U(1)$ extensions of the MSSM originating from $E_6$ GUTs