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We study the time-honoured decay $H^\pm\to A W^\pm$ but for the first time,we do so for the case of both $A$ and $W^\pm$ being off-shell, thereforecomputing a $1\to 4$ body decay. We show that the corresponding decay rate notonly extends the reach of $H^\pm$ searches to small masses of the latter butalso that the results of our implementation differ significantly from the yieldof the $1\to3$ body decay over the phase space region in which the latter isnormally used. We show the phenomenological relevance of this implementation inthe case of the so-called lepton-specific 2-Higgs Doublet Model (2HDM) over themass region wherein the aforementioned $1\to 4$ body decay can dominate justbeyond the top (anti)quark mass. This mass region is accessible in thelepton-specific 2HDM as the Yukawa couplings are such that limits from $b \to s\gamma$ and $\tau \to \mu \nu_{\tau} \bar{\nu_\mu}$ observables on $M_{H^\pm}$are rather mild. However, we emphasise that similar effects may occur in other2HDM types, as the $W^\pm H^\mp A$ vertex is 2HDM type independent.

Enhanced Four-Body Decays of Charged Higgs Bosons into Off-Shell  Pseudoscalar Higgs and $W^\pm$ Boson Pairs in a Lepton-Specific 2-Higgs  Doublet Model