Higgs Boson Mass and Electroweak-Gravity Hierarchy from Dynamical Gauge-Higgs Unification in the Warped Spacetime
Abstract
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 = (2 pi kR)1/2 (pi/thetaW) and mH /mW = 0.058 kR (pi/thetaW), where k2, R, and thetaW are the curvature and size of the extra-dimensional space and the Wilson line phase determined dynamically. For typical values kR = 12 and thetaW = (0.2 to 0.4) pi, one finds that MKK = (1.7 to 3.5) TeV, k = (1.3 to 2.6) x 1019 GeV, and mH = (140 to 280) GeV.
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