We study Little Higgs models based on a SU (3) 1 × SU (3) 2 global symmetry and with two scales (the two vacuum expectation values f 1,2 ) substantially different. We show that all the extra vector boson fields present in these models may be much heavier than the vectorlike T quark necessary to cancel top-quark quadratic corrections. In this case the models become an extension of the standard model with a light (≈ 500 GeV) T quark and a scalar Higgs field with a large singlet component. We obtain that the Yukawa and the gauge couplings of the Higgs are smaller than in the standard model, a fact that may reduce significantly the Higgs production rate through glu-glu and W W fusion. The T -quark decay into Higgs boson becomes then a dominant Higgs production channel in hadron colliders.
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