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We construct a little Higgs boson model using a simple global symmetry group SU(9) spontaneously broken to SU(8). The electroweak interactions are extended to SU(3)×U(1) and embedded in SU(9). At the electroweak scale, our model is a two-Higgs-boson doublet model. At the TeV scale, there are additional states, which are responsible for the cancellation of one loop quadratic divergences. We compute the effects of heavy states on the precision electroweak observables and find that the lower bounds on the masses of heavy gauge bosons and fermions are between 1 and 2 TeV.
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Skiba et al. (2003) studied this question.
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