SUSY breaking scales in the gauge-Higgs unification

Abstract

In the $SO(5)\times U(1)$ gauge-Higgs unification in the Randall-Sundrum (RS) warped space the Higgs boson naturally becomes stable. The model is consistent with the current collider signatures only for a large warp factor $z_L>10^{15}$ of the RS space. In order for stable Higgs bosons to explain the dark matter of the Universe the Higgs boson must have a mass $m_h=70\sim 75$ GeV, which can be obtained in the non-SUSY model with $z_L\sim 10^5$. We show that this discrepancy is resolved in supersymmetric gauge-Higgs unification where a stop mass is about $300\sim 320$GeV and gauginos in the electroweak sector are light.

Comments: 11 pages, 2 figures. A few remarks are added