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An $H^+ W^- Z$ vertex, i.e, the interaction connecting a singly chargedphysical scalar to the $W^\pm,~Z$ gauge bosons is absent at the tree level in ascalar sector comprising only $SU(2)_L$ doublets. However, the interaction canbe generated radiatively in such a case, an example of which is a two-Higgsdoublet model. In this study, we extend a two-Higgs doublet scenario byadditional $SU(2)_L$ scalar doublets. Upon endowing with appropriate discretesymmetries, these additional doublets so introduced can furnish successfulcandidates of dark matter. Interestingly, the same "dark" scalars can alsoradiatively enhance the strength of the $H^+ W^- Z$ interaction. We compute the$H^+ W^- Z$ vertex at one-loop in a non-linear gauge that eliminates certainunphysical interactions. While all possible constraints are taken into accountin doing so, particular emphasis is given to the ones stemming from darkmatter. Correlations between the dark matter observables and the $H^+ W^- Z$interaction-strength are studied. The study thus connects a radiativelygenerated $H^+ W^- Z$ vertex to dark matter phenomenology.

Impact of dark scalars on the radiative $H^+ W^- Z$ vertex