Current experimental constraints on NMSSM with large lambda

Abstract

The next-to-minimal supersymmetric model (NMSSM) with a large lambda (the mixing parameter between the singlet and doublet Higgs fields) is well motivated since it can significantly push up the upper bound on the SM-like Higgs boson mass to solve the little hierarchy problem. In this work we examine the current experimental constraints on the NMSSM with a large lambda, which include the direct search for Higgs boson and sparticles at colliders, the indirect constraints from precision electroweak measurements, the cosmic dark matter relic density, the muon anomalous magnetic moment, as well as the stability of the Higgs potential. We find that, with the increase of lambda, parameters like tan-beta, M_A, mu and M_2 are becoming more stringently constrained. It turns out that the maximal reach of lambda is limited by the muon anomalous magnetic moment, and for smuon masses of 200 GeV (500 GeV) the parameter space with lambda > 1.5 (0.6) is excluded.

Version in PRD (figs and discussions added)

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• XENON100 Implications for Naturalness in the MSSM, NMSSM and lambda-SUSY
• Light dark matter in NMSSM and implication on Higgs phenomenology
• A natural little hierarchy for RS from accidental SUSY
• Induced Electroweak Symmetry Breaking and Supersymmetric Naturalness
• On NMSSM Higgs Search Strategies at the LHC and the Mono-Higgs Signature in Particular
• Nucleation is More than Critical -- A Case Study of the Electroweak Phase Transition in the NMSSM
• Solving the mu problem with a heavy Higgs boson
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• Residual effects of heavy sparticles in the bottom quark Yukawa coupling: a comparative study for the MSSM and NMSSM
• Dark Matter in the Singlet Extension of MSSM: Explanation of Pamela and Implication on Higgs Phenomenology
• Singlet extension of the MSSM as a solution to the small cosmological scale anomalies
• Invisible decays of the lightest Higgs boson in supersymmetric models
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• Higgs boson signals in lambda-SUSY with a Scale Invariant Superpotential
• The SM and SUSY after the 2011 LHC results
• Dark matter in the MSSM and its singlet extension
• Perturbative $\lambda$-Supersymmetry and Small $\kappa$-Phenomenology
• Extending the MSSM with singlet Higgs and right handed neutrino for the self-interacting dark matter
• PandaX limits on light dark matter with light mediator in the singlet extension of MSSM
• Detecting the Higgs boson(s) in LambdaSUSY