In the Type-III 2HDM, neutral and heavy charged flavor-violating Higgs decays can exceed 5 sigma significance at 300 fb^{-1} luminosity while the light charged mode is more background-limited.
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Probing Flavor-Violating Higgs Decays in the Type-III Two-Higgs-Doublet Model at the LHC and HL-LHC
In the Type-III 2HDM, neutral and heavy charged flavor-violating Higgs decays can exceed 5 sigma significance at 300 fb^{-1} luminosity while the light charged mode is more background-limited.