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 (m(w)), the Kaluza-Klein mass scale (M-KK), and the Higgs boson mass (MH) being derived. It is shown that M-KK/m(W) similar to (2 pi kR)1/2(pi/theta(W)) and m(H)/m(W) similar to 0.058kR(pi/theta(W)), where k(2), R, and theta(W) are the curvature and size of the extra-dimensional space and the Wilson line phase determined dynamically. For typical values kR = 12 and theta(W) = (0.2-0.4)pi, one finds that M-KK = 1.7-3.5 TeV, k = (1.3-2.6) x 10(19) GeV, and m(H) = 140-280 GeV. (c) 2005 Elsevier B.V. All rights reserved.