  A heavy Standard Model Higgs boson is not only disfavored by electroweak
precision observables but is also excluded by direct searches at the 7 TeV LHC
for a wide range of masses. Here, we examine scenarios where a heavy Higgs
boson can be made consistent with both the indirect constraints and the direct
null searches by adding only one new particle beyond the Standard Model. This
new particle should be a weak multiplet in order to have additional
contributions to the oblique parameters. If it is a color singlet, we find that
a heavy Higgs with an intermediate mass of 200 - 300 GeV can decay into the new
states, suppressing the branching ratios for the standard model modes, and thus
hiding a heavy Higgs at the LHC. If the new particle is also charged under QCD,
the Higgs production cross section from gluon fusion can be reduced
significantly due to the new colored particle one-loop contribution. Current
collider constraints on the new particles allow for viable parameter space to
exist in order to hide a heavy Higgs boson. We categorize the general
signatures of these new particles, identify favored regions of their parameter
space and point out that discovering or excluding them at the LHC can provide
important indirect information for a heavy Higgs. Finally, for a very heavy
Higgs boson, beyond the search limit at the 7 TeV LHC, we discuss three
additional scenarios where models would be consistent with electroweak
precision tests: including an additional vector-like fermion mixing with the
top quark, adding another U(1) gauge boson and modifying triple-gauge boson
couplings.
