Charged Higgs Boson Phenomenology in the Dark Z mediated Fermionic Dark Matter Model

We study the phenomenology of the charged Higgs boson, $H^\pm$,appearing in the fermionic dark matter model mediated by the dark $Z$ boson. This model is in favor of the light dark $Z$ boson, $Z'$, and the light additional neutral Higgs boson, $h$. We find that $H^\pm \to W^\pm h$ and the $H^\pm \to W^\pm Z'$ are dominant decay channels. Thus the promising final states are trilepton signals, $e \mu \mu$ or $\mu \mu \mu$ following $Z' \to \mu^+ \mu^-$ decays and leptonic decays of the $W^\pm$ boson. The charged Higgs boson will be produced from the top quark decays $t \to b H^\pm$ following $t \bar{t}$ production, if $H^\pm$ is light. Whereas $H^\pm$ is heavier than the top quark, the dominant production processes are associated productions with either $Z'$ or $h$, $pp \to W^\star \to H^\pm h$ and $pp \to W^\star \to H^\pm Z'$. We explore the discovery potential of the charged Higgs boson at the LHC. We also discuss the implications of dark matter in relation with the charged Higgs phenomenology.