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In Little Higgs models a collective symmetry prevents the higgs from acquiring a quadratically divergent mass at one loop.
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D. E. Kaplan and M. Schmaltz, JHEP 0310
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Z. Han and W. Skiba, Phys. Rev. D 72
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B. Grinstein, R. Kelley and P. Uttayarat, JHEP 0909
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M. Schmaltz and J. Thaler, JHEP 0903
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