  The Higgs boson recently discovered at the Large Hadron Collider has shown to
have couplings to the remaining particles well within what is predicted by the
Standard Model. The search for other new heavy scalar states has so far
revealed to be fruitless, imposing constraints on the existence of new scalar
particles. However, it is still possible that any existing heavy scalars would
preferentially decay to final states involving the light Higgs boson thus
evading the current LHC bounds on heavy scalar states. Moreover, decays of the
heavy scalars could increase the number of light Higgs bosons being produced.
Since the number of light Higgs bosons decaying to Standard Model particles is
within the predicted range, this could mean that part of the light Higgs bosons
could have their origin in heavy scalar decays. This situation would occur if
the light Higgs couplings to Standard Model particles were reduced by a
concomitant amount. Using a very simple extension of the SM - the two-Higgs
double model - we show that in fact we could already be observing the effect of
the heavy scalar states even if all results related to the Higgs are in
excellent agreement with the Standard Model predictions.
