Higgs boson mass and electroweak–gravity hierarchy from dynamical gauge–Higgs unification in the warped spacetime

Dynamical electroweak symmetry breaking by the Hosotani mechanism in the Randall–Sundrum warped spacetime is examined, relations among the W-boson mass (mW), the Kaluza–Klein mass scale (MKK), and the Higgs boson mass (mH) being derived. It is shown that MKK/mW∼(2πkR)1/2(π/θW) and mH/mW∼0.058kR(π/θW), where k2, R, and θW are the curvature and size of the extra-dimensional space and the Wilson line phase determined dynamically. For typical values kR=12 and θW=(0.2–0.4)π, one finds that MKK=1.7–3.5TeV, k=(1.3–2.6)×1019GeV, and mH=140–280GeV.