Prospects for supersymmetric charged Higgs boson discovery at the Fermilab Tevatron and the CERN Large Hadron Collider

We investigate the prospects for heavy charged Higgs boson production through the mechanisms $p\overline{p}\mathrm{}\left(\mathrm{pp}\right)\mathrm{}\to H^{\pm }tb+X$ at the upgraded Fermilab Tevatron and at the upcoming LHC at CERN, respectively. We focus on the minimal supersymmetric standard model case and include the leading quantum corrections at high $\tan \beta .$ A detailed study is performed for all important production modes and basic background processes for the $t\overline{t}b\overline{b}$ signature. At the upgraded Tevatron a charged Higgs signal is potentially viable in the $220–250\hspace{0.5em}\mathrm{GeV}$ range or excluded at 95% C.L. up to $300\hspace{0.5em}\mathrm{GeV}.$ At the LHC, a $H^{\pm }$ of mass up to $800\hspace{0.5em}\mathrm{GeV}$ can be discovered at $5\sigma$ or else be excluded up to a mass of $\sim 1.5\hspace{0.5em}\mathrm{TeV}.$ The presence of SUSY quantum effects may highly influence the discovery potential in both machines and can typically shift these limits by $200\hspace{0.5em}\mathrm{GeV}$ at the LHC.