Standard model Higgs boson from higher dimensional gauge fields

We consider the possibility that the standard model Higgs fields may originate from extra components of higher dimensional gauge fields. Theories of this type considered before have had problems accommodating the standard model fermion content and Yukawa couplings different from the gauge coupling. Considering orbifolds based on Abelian discrete groups we are led to a 6 dimensional $G_2$ gauge theory compactified on $T^2{/Z}_4.$ This theory can naturally produce the SM Higgs fields with the right quantum numbers while predicting the value of the weak mixing angle ${\sin }^2{\theta }_W=0.25\mathrm{}$ at the tree level, close to the experimentally observed one. The quartic scalar coupling for the Higgs boson is generated by the higher dimensional gauge interaction and predicts the existence of a light Higgs boson. We point out that one can write a quadratically divergent counterterm for Higgs boson mass localized to the orbifold fixed point. However, we calculate these operators and show that higher dimensional gauge interactions do not generate them at least at one loop. Fermions are introduced at orbifold fixed points, making it easy to accommodate the standard model fermion content. Yukawa interactions are generated by Wilson lines. They may be generated by the exchange of massive bulk fermions, and the fermion mass hierarchy can be obtained. Around a TeV, the first KK modes would appear as well as additional fermion modes localized at the fixed point needed to cancel the quadratic divergences from the Yukawa interactions. The cutoff scale of the theory could be a few times 10 TeV.