Electroweak Symmetry Breaking and Mass Spectra in Six-Dimensional Gauge-Higgs Grand Unification

Abstract

The mass spectra of the standard model particles are reproduced in the $SO(11)$ gauge-Higgs grand unification in the six-dimensional warped space without introducing exotic light fermions. Light neutrino masses are explained by the gauge-Higgs seesaw mechanism. We evaluate the effective potential of the 4d Higgs boson appearing as a fluctuation mode of the Aharonov-Bohm phase $\hat{I}{¸}_H$ in the extra-dimensioal space, and show that the dynamical electroweak symmetry breaking takes place with the Higgs boson mass $m_H\sim 125$GeV and $\hat{I}{¸}_H\sim 0.1$. The Kaluza-Klein mass scale in the fifth dimension is approximately given by $m_{\mathrm{KK}}\sim 1.230\mathrm{TeV}/\sin \hat{I}{¸}_H$.

60 pages, 6 tables, 2 figures; typos corrected