  We perform an analysis of the Renormalization Group evolution of the
couplings in an extension to the Standard Model which contains a real triplet
in the Higgs sector. Insisting that the model remain valid up to 1 TeV allow us
to map out the region of allowed mass for the Higgs bosons. We conclude that it
is possible for there to be no light Higgs bosons without any otherwise
dramatic deviation from the physics of the Standard Model.
