Results are presented of a search for a charged Higgs boson with a mass larger than the top quark in the $gg\rightarrow H^+tb$ production process. The final states considered contain either one electron and one muon, or two electrons, or two muons, or one muon plus one hadronically decaying tau lepton, corresponding to the charged Higgs decays $H^{+}\rightarrow tb$ and $H^+\rightarrow \tau^+\nu$. The full production and decay chain includes $gg\rightarrow H^+tb \rightarrow (\tau_h\nu) (\mu\nu b) b$ and $gg\rightarrow H^+tb \rightarrow (\ell\nu b b) (\ell'\nu b) b$, with $\ell$, $\ell'$ being an electron or a muon. The search is performed with 19.7~fb$^{-1}$ of data collected in proton-proton collisions at $\sqrt{s} = 8$~TeV with the CMS detector. We find no evidence for a charged Higgs signal and set upper limits on its production rate for mass values in the range 180-600~GeV.

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