Prospects for extra Higgs boson search via [Formula omitted] at the high luminosity Large Hadron Collider

We extend heavy Higgs searches at the Large Hadron Collider for [Formula omitted] by CMS, and [Formula omitted] by ATLAS and CMS, to study discovery prospects of extra Higgs states in [Formula omitted] with [Formula omitted] and [Formula omitted] final states, where [Formula omitted] and [Formula omitted] is missing transverse energy. In a general two Higgs doublet model without [Formula omitted] symmetry, extra Yukawa couplings [Formula omitted] and [Formula omitted] can drive [Formula omitted] and [Formula omitted] channels at hadron colliders, following gluon-gluon fusion production with extra [Formula omitted] couplings. The light Higgs boson h(125) is found to resemble closely the Standard Model Higgs boson; in the alignment limit of [Formula omitted] for h-H mixing, flavor changing neutral Higgs couplings such as [Formula omitted] are naturally suppressed, but the couplings of the heavier H is optimized by [Formula omitted]. We define various signal regions for [Formula omitted] and [Formula omitted] and evaluate physics backgrounds from dominant processes with realistic acceptance cuts and tagging efficiencies. Two different studies are presented. We first perform a parton level study without any hadronization and with minimal detector smearing. We then include hadronization using PYTHIA 8.2 and fast detector simulation using DELPHES to give event level simulation. Results for [Formula omitted] TeV appear promising, which we extend further to [Formula omitted] TeV for the High Luminosity LHC.