  The natural cutoff scale for the quadratically divergent top quark
contribution to the Higgs mass parameter can be significantly raised above the
surprisingly low standard model value, with important consequences for the LHC:
the physics that cancels the top quark divergence may be out of reach, while an
electroweak sector with "improved naturalness" may be discovered. Such a
sector, consistent with electroweak precision tests, arises in the two Higgs
doublet model with heavy Higgs and top quark interactions that approach strong
coupling.
