Phenomenology of NMSSM in TeV scale mirage mediation

摘要

We study the next-to-minimal supersymmetric standard model (NMSSM) with theTeV scale mirage mediation, which is known as a solution for the littlehierarchy problem in supersymmetry. Our previous study showed that 125 GeVHiggs boson is realized with O(10) % fine-tuning for 1.5 TeV gluino (1 TeVstop) mass. The $\mu$ term could be as large as 500 GeV without sacrificing thefine-tuning thanks to a cancellation mechanism. The singlet-doublet mixing issuppressed by $\tan\beta$. In this paper, we further extend this analysis. Weargue that approximate scale symmetries play a role behind the suppression ofthe singlet-doublet mixing. They reduce the mixing matrix to a simple form thatis useful to understand the results of the numerical analysis. We perform acomprehensive analysis of the fine-tuning including the singlet sector byintroducing a simple formula for the fine-tuning measure. This shows that thesinglet mass of the least fine-tuning is favored by the LEP anomaly formoderate $\tan\beta$. We also discuss prospects for the precision measurementsof the Higgs couplings at LHC and ILC and direct/indirect dark matter searchesin the model.