Comparison between $\hat{I}{¼}^{-}\hat{I}{¼}^{+}$ and $e^{-}{e}^{+}$ colliders for charged Higgs production in 2HDM

Abstract

We study the phenomenology of the charged Higgs boson at future muon colliders. We investigate both the pair production $\hat{I}{¼}^{+}\hat{I}{¼}^{-}\to H^{+}{H}^{-}$, the single production $\hat{I}{¼}^{+}\hat{I}{¼}^{-}\to W^{\pm }{H}^{\mp }$, as well as the Vector Boson Fusion (VBF) $\{e^{+}{e}^{-},\hat{I}{¼}^{+}\hat{I}{¼}^{-}\}\to \hat{I}½\bar{\hat{I}}½H^{+}{H}^{-}$. We show that the neutral Higgs exchange diagrams in the muon collider case can lead to a significant boost in the cross sections through their Yukawa couplings. Our results for the muon collider are systematically compared to the corresponding ones at $e^{+}{e}^{-}$ machines. It is demonstrated that the vector boson fusion (VBF) $e^{+}{e}^{-}\to \hat{I}½\bar{\hat{I}}½H^{+}{H}^{-}$ can compete with the mentioned $2\to 2$ processes. We select benchmark points and perform signal-background analyses, taking into account detector simulations. We demonstrate the discovery region at $5\ddot{I}ƒ$ and the excluded region at $2\ddot{I}ƒ$ levels at a 3 TeV muon collider.

43 pages, 14 figures, 10 tables, accepted to be published in PRD