We consider the addition of a condensing singlet scalar field to the Standard
Model. Such a scenario may be motivated by any number of theoretical ideas,
including the common result in string-inspired model building of singlet scalar
fields charged under some hidden sector gauge symmetry. For concreteness, we
specify an example model of this type, and consider the relevant constraints on
Higgs physics, such as triviality, perturbative unitarity and precision
electroweak analysis. We then show that there are two unique features of the
phenomenology that present opportunities for discovery at the Large Hadron
Collider (LHC). First, it is possible to identify and discover a narrow
trans-TeV Higgs boson in this scenario -- a mass scale that is well above the
scale at which it is meaningful to discuss a SM Higgs boson. Second, the decays
of the heavier scalar state into the lighter Higgs bosons can proceed at a high
rate and may be the first discovery mode in the Higgs sector.Comment: 21 pages, 5 figure
