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A charged Higgs in the type II two-Higgs-doublet model (THDM) has beenbounded to be above a few hundred GeV by the radiative $B$ decays. A Higgstriplet extension of the THDM not only provides an origin of neutrino massesand a completely new doubly-charged Higgs decay pattern, but it also achieves alight-charged Higgs with a mass of ${\cal O}(100)$ GeV through the new scalarcouplings in the scalar potential. It was found that these light-charged Higgsdecays depend on its mass $m_{H^\pm}$, $\tan\beta$, and mixing effect$\sin\theta_\pm$: at $\tan\beta =1$, if $m_{H^\pm} > m_W + m_Z$, $\bar b bW^\pm$, $W^\pm Z$, and $\tau \nu$ are the main decay modes; however, if$m_{H^\pm} < m_W + m_Z$, the main decay modes are then $\bar b b W$ and $\tau\nu$, and at $\tan\beta=30$, the $\tau \nu$ mode dominates the other decays.When $m_t > m_{H^\pm} + m_b$, we found that the ATLAS and CMS recent upperbounds on the product of $BR(t\to H^+ b)BR(H^+\to \tau^+ \nu)$ can be directlyapplied and will give a strict constraint on the correlation of $m_{H^\pm}$ and$\sin\theta_\pm$. If the upper bound of $BR(t\to H^+ b)BR(H^+\to \tau^+ \nu)$is satisfied (escaped) for $m_t > (<) m_{H^\pm} + m_b$, it was found that thesignificance of discovering the charged Higgs through $H^\pm \to W^\pm Z$ ismuch lower than that through $H^\pm \to \bar b b W^\pm$. With a luminosity of100 fb$^{-1}$ at $\sqrt{s}=13$ TeV and including the experimental bounds, thesignificance of the $H^\pm \to \bar b b W^\pm$ signal can reach around $6.2(2.4)\sigma$ for $m_{H^\pm} <(>) m_W + m_Z$.

Search for a light-charged Higgs in a two-Higgs-doublet type II seesaw model at the LHC