Abstract
We study the LHC searches for the heavy -odd Higgs boson and -even Higgs boson in the context of general two-Higgs-doublet model. Specifically, we consider the decay mode of through the or associated production channels. In the so-called "alignment limit" of the two-Higgs-doublet model, this decay mode can be the most dominant one. By employing the HEPTopTagger and the multi-variable-analysis method, we present the search sensitivities for both -odd Higgs boson and -even Higgs boson via these channels at the high-luminosity LHC runs.
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