Simple model of two little Higgs bosons

We construct a little Higgs boson model using a simple global symmetry group $\mathrm{SU}\left(9\right)\mathrm{}$ spontaneously broken to $\mathrm{SU}\left(8\right).$ The electroweak interactions are extended to $\mathrm{SU}\left(3\right)\mathrm{}\times U\left(1\right)\mathrm{}$ and embedded in $\mathrm{SU}\left(9\right).$ 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.