Phenomenology of NMSSM in TeV scale mirage mediation

We study the next-to-minimal supersymmetric standard model (nmssm) with the tev scale mirage mediation, which is known as a solution for the little hierarchy problem in supersymmetry. our previous study showed that 125 gev higgs boson is realized with $$ mathcal{o} $$ (10)% fine-tuning for 1.5 tev gluino (1 tev stop) mass. the μ term could be as large as 500 gev without sacrificing the fine-tuning thanks to a cancellation mechanism. the singlet-doublet mixing is suppressed by tan β. in this paper, we further extend this analysis. we argue that approximate scale symmetries play a role behind the suppression of the singlet-doublet mixing. they reduce the mixing matrix to a simple form that is useful to understand the results of the numerical analysis. we perform a comprehensive analysis of the fine-tuning including the singlet sector by introducing a simple formula for the fine-tuning measure. this shows that the singlet mass of the least fine-tuning is favored by the lep anomaly for moderate tan β. we also discuss prospects for the precision measurements of the higgs couplings at lhc and ilc and direct/indirect dark matter searches in the model.