Charged Higgs signals in tt¯H searches

New scalars from an extended Higgs sector could have weak scale masses and still have escaped detection. In a type I two Higgs doublet model, for instance, even the charged Higgs can be lighter than the top quark. Because electroweak production of these scalars is modest, the greatest opportunity for their detection might come from rare top decays. For mass hierarchies of the type ${m}_{t}g{m}_{{H}^{+}}g{m}_{{A}^{0},{H}^{0}}$, the natural signal can arise from top quark pair production, followed by the decay chain $t\ensuremath{\rightarrow}b{H}^{+}$, ${H}^{+}\ensuremath{\rightarrow}{W}^{+(*)}{\ensuremath{\phi}}^{0}$, ${\ensuremath{\phi}}^{0}\ensuremath{\rightarrow}b\overline{b},{\ensuremath…