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In Little Higgs models a collective symmetry prevents the higgs fromacquiring a quadratically divergent mass at one loop. We have previously shownthat the couplings in the Littlest Higgs model introduced to give the top quarka mass do not naturally respect the collective symmetry. We extend our previouswork showing that the problem is generic: it arises from the fact that thewould be collective symmetry of any one top quark mass term is broken by gaugeinteractions.

Hidden Fine Tuning In The Quark Sector Of Little Higgs Models