Search for charged Higgs boson in $\mu\nu$ channel within 2HDM type-III

We discus the muonic decay of light charged Higgs boson for $m_{H^\pm}\le m_t-m_b$ in the context of the generic two Higgs doublet model (2HDM) type-III. We show that for both alignment limit scenarios, the $H^\pm\to\mu\nu$ signal could be dominant and give alternative reachable signatures to those arising from top quark production and decay.