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Radiatively Induced Spontaneous Symmetry Breaking by Wilson Line in a Warped Extra Dimension

2007/12/10 by Hisaki Hatanaka, Hatanaka, Hisaki
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.0712.1334

32 pages, 11 figures

arxiv created 2007/12/10 · openalex publication_date 2007/12/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the dynamical gauge-Higgs unification in the Randall-Sundrum (RS) space-time. We study the dynamical gauge-Higgs unification in the SU(2) gauge theory with a bulk fermion in the RS space-time. We evaluate the contribution from fermion loop to the one-loop effective potential with respect to the Wilson-line phase, and study the dynamical gauge symmetry breaking. We also apply this mechanism of the gauge symmetry breaking to the electroweak gauge-Higgs unification in the RS space-time. Especially we numerically studied a SU(3)w gauge model as a toy model of electroweak gauge-Higgs unification in the RS space-time. We introduce an adjoint fermion into the model to break the gauge symmetry and to obtain the U(1)em electromagnetic symmetry. We found that in this model the ratio of Z-boson mass to W-boson varies with respect to the Wilson-line phase even at the tree level. We also propose a dynamical mechanism of tuning the ratio mZ/mW to the experimental value 91.2GeV/80.4GeV=1.13 by introducing bulk scalars or bulk fermions with twisted boundary conditions. In these models the Higgs can vary in mass between zero and 290GeV.

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