Associated charged Higgs boson production within the 2HDM: e−e+ Brahim Ait Ouazghour, Abdesslam Arhrib, Kingman Cheung, Es-said Ghourmin, Larbi Rahili

Our goal is to investigate the charged Higgs phenomenology in the framework of 2HDM at the upcoming e+e− and muon colliders. We are primarily concerned with the associated production processes with a fermion pair: ℓ+ℓ−→τ+ντH− and ℓ+ℓ−→tb¯H−, as well as with the W boson and a neutral Higgs boson: ℓ+ℓ−→W±H∓S (S=h, H, A) and ℓ+ℓ−→W±H∓Z. We first update the results for e+e−→{τ+ντH−,tb¯H−} and then discuss our findings for e+e−→{W±H∓S} for various center-of-mass energies 500 GeV, 1 TeV, 1.5 TeV, and 3 TeV. In the case of muon collider, we show that the new s-channel and t-channel diagrams can increase the cross sections by virtue of their Yukawa couplings. We systematically compare our results for the muon collider with those obtained at the International Linear and Compact Linear colliders. We select benchmark points and conduct signal-background analyses, incorporating detector simulations. For a 3 TeV muon collider, our results show an exclusion region at the 2σ level and a discovery region at the 5σ level.