Abstract
Abstract 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 $$ \mathcal{O} $$ 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.
Highlights
JHEP02(2016)089 where m2Hu and m2Hd are the soft SUSY breaking scalar mass squared of the up-sector and down-sector Higgs fields and μ is the supersymmetric mass
If we further rely on the naturalness as a guiding principle, we need a mechanism of SUSY breaking which reconciles this little hierarchy with the notion of naturalness
We show that approximate scale symmetries play an important roll to suppress the singlet-doublet mixing in the next-to-minimal supersymmetric standard model (NMSSM)
Summary
Faculty of Education and Culture, University of Miyazaki, 1-1, Gakuen Kibanadai Nishi, Miyazaki 889-2192, Japan
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