Exploring viable vacua of the $Z_3$-symmetric NMSSM

Abstract

We explore the vacua of the $Z_3$-symmetric Next-to-Minimal Supersymmetric Standard Model (NMSSM) and their stability by going beyond the simplistic paradigm that works with a tree-level neutral scalar potential and adheres to some specific flat directions in the field space. Key effects are demonstrated by first studying the profiles of this potential under various circumstances of physical interest via a semi-analytical approach. The results thereof are compared to the ones obtained from a dedicated package like \veva ~which further incorporates the thermal effects to the potential. Regions of the phenomenological NMSSM (pNMSSM) parameter space that render the desired symmetry breaking (DSB) vacuum absolutely stable, long- or short-lived (in relation to the age of the Universe) under quantum/thermal tunneling are delineated. Regions that result in color and charge breaking (CCB) minima are also presented. It is demonstrated that light singlet scalars along with a light LSP (lightest supersymmetric particle) having an appreciable singlino admixture are compatible with a viable DSB vacuum and are much relevant for the collider experiments.

52 pages, 19 figures, 4 tables; matches with published version

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Cited by in corpus (8)

• Phenomenology of the inflation-inspired NMSSM at the electroweak scale
• Searching for left sneutrino LSP at the LHC
• A low-scale flavon model with a $Z_N$ symmetry
• Exploring Charge and Color Breaking vacuum in Non-Holomorphic MSSM
• Testing Higgs boson scenarios in the phenomenological NMSSM
• Prospects of Neutral Higgs boson decays in the NMSSM
• Non-Universal Gaugino Masses in the NMSSM
• Spontaneous breakdown of charge in the MSSM and in the NMSSM: Possibilities and Implications