  We review some of the major progress in the accurate calculation of the cross
section for the production of a charged Higgs boson in a generic two-Higgs
double model, by focussing on the high-mass region, for which new calculations
have been made available in the past few years, both at the level of total and
of differential cross sections. Furthermore, we illustrate some recent progress
in the calculation of the total cross section for a charged Higgs boson with
mass in the intermediate range m_{H^\pm} \sim m_{t}, including top-resonant
contributions.
