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The charged Higgs boson plays an essential role in distinguishing between awide variety of standard model extensions with multiple Higgs doublets, and hasbeen searched for in various collider experiments. This paper expands ourprevious work to a broader Higgs mass space with discussions on subsequentissues. We study the prospect of a light charged Higgs boson, produced by topquark pairs at the Large Hadron Collider (LHC), and decaying into a $W$ boson(can be off shell) and a pair of bottom quarks via on-shell production of anintermediate neutral Higgs boson. We reinterpret the cross sections of$WWbb\bar{b}\bar{b}$ final states measured by the ATLAS collaboration at LHC 13TeV in the presence of the decay chain: $t \rightarrow H^+ b, H^+ \rightarrowW^+ H_i, H_i \rightarrow b \bar{b}$, and H.c., where $H_i$ is a neutral Higgsboson variably lighter than the charged Higgs boson. We find improvedagreements with the data and obtain limits on the total branching ratio of theaforementioned decay chain. The limits impose the strongest constraints on theparameter space of type-I two-Higgs-doublet model for most Higgs masses sampledwhen $H_i$ is the $CP$-odd Higgs boson $A$. We also calculate potentialconstraints with pseudodata in high-luminosity runs of the LHC.

Constraint for a light charged Higgs boson and its neutral partners from top quark pairs at the LHC