126 GeV Higgs boson and universality relations in the $SO(5)\times U(1)$ gauge-Higgs unification

Abstract

The Higgs boson mass $m_H=126$GeV in the $SO(5)\times U(1)$ gauge-Higgs unification in the Randall-Sundrum space leads to important consequences. An universal relation is found between the Kaluza-Klein (KK) mass scale $m_{KK}$ and the Aharonov-Bohm phase ${\theta }_H$ in the fifth dimension; $m_{KK}\sim 1350\mathrm{GeV}/(\sin {\theta }_H{)}^{0.787}$. The cubic and quartic self-couplings of the Higgs boson become smaller than those in the SM, having universal dependence on ${\theta }_H$. The decay rates $H\to \gamma \gamma ,gg$ are evaluated by summing contributions from KK towers. Corrections coming from KK excited states turn out very small. With ${\theta }_H=0.1\sim 0.35$, the mass of the first KK $Z$ is predicted to be $2.5\sim 6$TeV.

Comments: 7 pages, 6 figures. Proceeding for HPNP 2013, Toyama, Feb. 2013