Investigation of charged Higgs boson in the bottom and top quark decay channel at the FCC-hh

After the recent discovery of a neutral Higgs boson with a mass about 125 GeV, we assess the extend of discovery potential of future circular hadron collider (FCC-hh) for a charged Higgs boson in the bottom and top quark decay channel. The charged Higgs boson can be produced through the $pp\to h^{-}t+X$ process with a subsequent decay $h^{-}\to b\overline{t}$ channel. This decay channel is particularly important for studying the charged Higgs boson heavier than the top quark. We consider an extension of the standard model Higgs sector, namely two Higgs doublet model (2HDM), and perform a dedicated signal significance analysis to test this channel for the FCC-hh running at the center of mass energy of 100 TeV and the integrated luminosity of 1 ab⁻¹ (initial), 3 ab⁻¹ (comparison with HL-LHC) and 30 ab⁻¹ (ultimate). We find that an important part of the parameter spaces of two Higgs doublet model is examinable at the FCC-hh.