With the h to bb decay, the rare H to h gamma gamma process could give a 5-sigma signal at the HL-LHC for mH up to about 950 GeV in the type-II 2HDM.
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Prospects for detecting the rare heavy Higgs decay $H\to h\gamma\gamma$ through the $H\to b\bar{b}\gamma\gamma$ channel at the LHC
With the h to bb decay, the rare H to h gamma gamma process could give a 5-sigma signal at the HL-LHC for mH up to about 950 GeV in the type-II 2HDM.