  The triviality of the scalar sector of the standard one-doublet Higgs model
implies that this model is only an effective low-energy theory valid below some
cut-off scale Lambda. For a heavy higgs this scale must be relatively low (10
TeV or less). Additional interactions coming from the underlying theory, and
suppressed by the scale Lambda, give rise to model-dependent corrections to
precisely measured electroweak quantities. Dimension six operators arising from
the underlying physics naturally contribute to the S and T parameters, and
their effects should be included in a global fit to the precision data that
determines any limit on the Higgs mass. Using dimensional analysis, we estimate
the expected size of these corrections in a custodially-symmetric
strongly-interacting underlying theory. Taking these operators' coefficients to
be of natural size gives sufficiently large contributions to the T parameter to
reconcile Higgs masses as large as 400-500 GeV with the precision data.
