Current searches for the charged Higgs at the LHC focus only on the
τν, cs, and tb final states. Instead, we consider the process pp→Φ→W±H∓→W+W−A where Φ is a heavy neutral Higgs boson,
H± is a charged Higgs boson, and A is a light Higgs boson, with mass
either below or above the bbˉ threshold. The cross-section for this
process is typically large when kinematically open since H±→W±A
can be the dominant decay mode of the charged Higgs. The final state we
consider has two leptons and missing energy from the doubly leptonic decay of
the W+W− and possibly additional jets; it is therefore constrained by
existing SM Higgs searches in the W+W− channel. We extract these
constraints on the cross-section for this process as a function of the masses
of the particles involved. We also apply our results specifically to a type-II
two Higgs doublet model with an extra Standard-Model-singlet and obtain new and
powerful constraints on mH± and tanβ. We point out that a
slightly modified version of this search, with more dedicated cuts, could be
used to possibly discover the charged Higgs, either with existing data or in
the future.Comment: 38 pages, 14 figure