Charged Higgs boson in MSSM and beyond

We conduct a numerical study over the constrained MSSM (CMSSM), next-to-MSSM (NMSSM) and $U\left(1\right)$ extended MSSM (UMSSM) to probe the allowed mass ranges of the charged Higgs boson and its dominant decay patterns, which might come into prominence in the near future collider experiments. We present results obtained from a limited scan for CMSSM as a basis and compare its predictions with the extended models. We observe within our data that a wide mass range is allowed as $0.5\left(1\right)\lesssim {m}_{{H}^{±}}\lesssim 17\text{}\text{}\mathrm{TeV}$ in UMSSM (NMSSM). We find that the dominant decay channel is mostly ${H}^{±}\to tb$ such that $\mathrm{BR}\left({H}^{±}\to tb\right)\sim 80%$. While this mode remains dominant over the whole allowed parameter space of CMSSM, we realize some special domains in the NMSSM and UMSSM, in which $\mathrm{BR}\left({H}^{±}\to tb\right)\lesssim 10%$. In this context, the decay patterns of the charged Higgs can play a significant role to distinguish among the SUSY models. In addition to the $tb$ decay mode, we find that the narrow mass scale in CMSSM allows only the decay modes for the charged Higgs boson to $\tau \nu $ ($\sim 16%$), and their supersymmetric partners $\stackrel{˜}{\tau }\stackrel{˜}{\nu }$ ($\sim 13%$). On the other hand, it is possible to realize the mode in NMSSM and UMSSM in which the charged Higgs boson decays into a chargino and neutralino pair up to about 25%. This decay mode requires nonuniversal boundary conditions within the MSSM framework to be available, since CMSSM yields $\mathrm{BR}\left({H}^{±}\to {\stackrel{˜}{\chi }}_{1}^{0}{\stackrel{˜}{\chi }}_{1}^{±}\right)\lesssim 1%$. It can also be probed in the near future collider experiments through the missing energy and $CP$-violation measurements. Moreover, the chargino mass is realized as ${m}_{{\stackrel{˜}{\chi }}_{1}^{±}}\gtrsim 1\text{}\text{}\mathrm{TeV}$ in NMSSM and UMSSM, and these solutions will be likely tested soon in collider experiments through the chargino-neutralino production. Focusing on the chargino-neutralino decay patterns, we also present tables which list the possible ranges for the charged Higgs production and decay modes.