The NMSSM Solution to the Fine-Tuning Problem, Precision Electroweak Constraints and the Largest LEP Higgs Event Excess

Abstract

We present an extended study of how the Next to Minimal Supersymmetric Model easily avoids fine-tuning in electroweak symmetry breaking for a SM-like light Higgs with mass in the vicinity of 100, as beautifully consistent with precision electroweak data, while escaping LEP constraints due to the dominance of h aa decays with ma<2mb so that a τptaum or jets. The residual 10% branching ratio for h b b explains perfectly the well-known LEP excess at 100. Details of model parameter correlations and requirements are discussed as a function (β). Comparisons of fine-tuning in the NMSSM to that in the MSSM are presented. We also discuss fine-tuning associated with scenarios in which the a is essentially pure singlet, has mass ma>30, and decays primarily to leading to an h aa 4 Higgs signal.

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