Dynamical symmetry breaking in gauge-Higgs unification on an orbifold

Abstract

We study the dynamical symmetry breaking in the gauge-Higgs unification of the five-dimensional theory compactified on an orbifold, ${S}^{1}{/Z}_{2}.$ This theory identifies Wilson line degrees of freedom as ``Higgs doublets.'' We consider ${\mathrm{SU}(3)}_{c}\ifmmode\times\else\texttimes\fi{}{\mathrm{SU}(3)}_{W}$ and $\mathrm{SU}(6)$ models with the compactification scale of order of a few TeV. The gauge symmetries are reduced to ${\mathrm{SU}(3)}_{c}\ifmmode\times\else\texttimes\fi{}{\mathrm{SU}(2)}_{L}\ifmmode\times\else\texttimes\fi{}{U(1)}_{Y}$ and ${\mathrm{SU}(3)}_{c}\ifmmode\times\else\texttimes\fi{}{\mathrm{SU}(2)}_{L}\ifmmode\times\else\texttimes\fi{}{U(1)}_{Y}\ifmmode\times\else\texttimes\fi{}U(1),$ respectively, through the orbifolding boundary conditions. We estimate the one loop effective potential of ``Higgs doublets,'' and find that the electroweak breaking is realized through the radiative corrections when there are suitable numbers of bulk fields possessing the suitable representations. The masses of ``Higgs doublets'' are O(100) GeV in this scenario.