We present a search for a Higgs sector which includes a heavy
Higgs ($H_0$), a charged Higgs ($h+$) and a light higgs $h_0$, with
decays leading to a $W+- W-+ b\bar{b}$ final state. We use events with
exactly one lepton, missing transverse energy and at least four jets in
data with integrated luminosity of 8.7 fb${-1}$. We find the data to be
consistent with the Standard Model and set cross-section upper limits
as a function of $H_0$ and $h+$ masses.