  We discuss the simplest model that predicts a tree level modification of the
$\rho$ parameter from a shift in the $W$-mass without changing the prediction
for the $Z$ mass. This model predicts a new neutral Higgs and two charged
Higgses, with very similar masses and suppressed couplings to the Standard
Model fermions. We discuss the decay properties of these new scalar bosons, and
the main signatures at the Large Hadron Collider. Comparing these signatures
for the first time to the latest measurements, we show that while masses around
200 GeV are excluded for some scenarios, over a wide range of model parameter
space the new bosons can have a mass close to the electroweak scale without
violating existing limits from experimental searches or destroying the
agreement with measurements. We investigate the scenario where the new neutral
Higgs is fermiophobic and has a large branching ratio into $W$ gauge bosons
and/or photons, and show that this could lead to a signal in the diphoton mass
spectrum at low Higgs masses. We discuss the different signatures that can
motivate new measurements and searches at the Large Hadron Collider.
