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A Standard-Model-like Higgs boson should be light in order to comply with electroweak precision measurements from LEP.
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Notice that the W W and Y Y parameter are insensitive to electroweak breaking and hence their central values have very little dependence on m H m_{H} Barbieri:2004qk
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The metric Eq. ( 12
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J. A. Cabrer, G. von Gersdorff, M. Quiros, [arXiv:1104.5253 [hep-ph]]
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