Natural Split Mechanism for Sfermions: NN=2 Supersymmetry in Phenomenology

We suggest a natural split mechanism for sfermions based on $N$=2 supersymmetry (SUSY). $N$=2 SUSY protects a sfermion in an $N$=2 multiplet from gaining weight by SUSY breaking. Therefore, if partly $N$=2 SUSY is effectively obtained, a split spectrum can be realized naturally. As an example of the natural split mechanism, we build a gauge-mediated SUSY breaking-like model assuming $N$=2 SUSY is partly broken in a UV theory. The model explains the Higgs boson mass and the muon anomalous magnetic dipole moment within $1~\sigma$ level with a splitting sfermion spectrum. The model has seven light sparticles described by three free parameters and predicts a new chiral multiplet, sb: the $N$=2 partner of the ${\rm U(1)_Y}$ vector multiplet. The bini, the fermion component of the sb, weighs MeVs. We mention the experimental and the cosmological aspects of the model.Comment: 17 pages and 3 figures, Version accepted for publication in PL

Supersymmetric Heavy Higgses at e^+e^- Linear Collider and Dark-Matter Physics

We consider the capability of the e^+e^- linear collider (which is recently called as the International Linear Collider, or ILC) for studying the properties of the heavy Higgs bosons in the supersymmetric standard model. We pay special attention to the large \tan\beta region which is motivated, in particular, by explaining the dark-matter density of the universe (i.e., so-called ``rapid-annihilation funnels''). We perform a systematic analysis to estimate expected uncertainties in the masses and widths of the heavy Higgs bosons assuming an energy and integrated luminosity of \sqrt{s}=1 TeV and L=1 ab^{-1}. We also discuss its implication to the reconstruction of the dark-matter density of the universe.Comment: 28 pages, 13 figures, version to appear in PR