Abstract
We introduce the fermion non-universality into the little Higgs models SU (5)/ SO (5), SU (6)/ Sp (6) and study the phenomenology of the new models. We find that if we change the transform property of the observed fermions under the extended [ SU (2)× U (1)]2, the cancellation of the one-loop quadratically divergent correction to the Higgs mass arising from gauge bosons will not be changed, whereas the phenomenology at W-pole, Z-pole and low q2 will be changed.
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