Contribution of gluon fusion to the production of charged Higgs bosons at hadron colliders

We study the production of the charged Higgs boson at future hadron colliders CERN (LHC) through the mechanism of gluon fusion (gg→tb¯${\mathit{H}}^{\mathrm{-}}$). This calculation is a good approximation for the complete allowed range of the charged Higgs boson mass. In particular, for ${\mathit{m}}_{\mathit{H}}$>${\mathit{m}}_{\mathit{t}}$+${\mathit{m}}_{\mathit{b}}$ our resulting cross section is similar to the one obtained using the mechanism of gluon-b fusion, whereas for ${\mathit{m}}_{\mathit{t}}$>${\mathit{m}}_{\mathit{H}}$+${\mathit{m}}_{\mathit{b}}$ our results reproduce the resonant behavior due to the decay t→${\mathit{H}}^{+}$+b.