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The two-Higgs-doublet model contains extra Higgs bosons, with mass rangesspanning from several hundred GeV to about 1 TeV. We study the possibleexperimental searches for the neutral Higgs bosons of $A$ and $H$ at the futurehigh-luminosity LHC runs. Besides of the conventional search modes that areinspired by the supersymmetric models, we discuss two search modes which werenot quite addressed previously. They are the decay modes of $A\to hZ$ and $A/H\to t \bar t$. Thanks to the technique of tagging boosted objects of SM-likeHiggs bosons and top quarks, we show the improved mass reaches for heavyneutral Higgs bosons with masses up to $\sim{\cal O}(1)\,\TeV$. The modesproposed here are complementary to the conventional experimental searchesmotivated by the MSSM.

The LHC searches for heavy neutral Higgs bosons by jet substructure analysis