  We reconsider observables for discovering a heavy Higgs boson (with m_h >
2m_W) via its di-leptonic decays h -> WW -> l nu l nu. We show that observables
generalizing the transverse mass that take into account the fact that both of
the intermediate W bosons are likely to be on-shell give a significant
improvement over the variables used in existing searches. We also comment on
the application of these observables to other decays which proceed via
narrow-width intermediates.
