H parity and the stable Higgs boson in the SO(5) X U(1) gauge-Higgs unification

In the SO(5) × U(1) gauge-Higgs unification model in the Randall-Sundrum warped space, there results the conservation of the H parity. The H parity is assigned to all 4D fields including excited modes in Kaluza-Klein towers. The neutral Higgs boson is the lightest particle of odd H parity, consequently becoming absolutely stable. Its mass is found to be 70-135 GeV for the warp factor z L = 10 5 -10 15 .