Exploring Heavy Higgs Bosons at a 100 TeV Hadron Collider within the Semi-Constrained NMSSM

In this study, we explore the detectability of heavy Higgs bosons in the \(pp \to b\bar{b}H/A \to b\bar{b}t\bar{t}\) channel at a 100 TeV hadron collider within the semi-constrained Next-to-Minimal Supersymmetric Standard Model (NMSSM). We calculate their production cross sections and decay branching ratios, comparing these with simulation results from existing reference. We focus on the heavy, doublet-dominated CP-even Higgs \(H\) and CP-odd Higgs \(A\), with mass limits set below 10 TeV to ensure detectability. We find that at a collider with 3 ab\(^{-1}\) of integrated luminosity, the potential for detecting heavy Higgs bosons varies significantly with their mass and \(\tan\beta\). Heavy Higgs bosons below 2 TeV are within the testable range, while those heavier than 7 TeV fall below the exclusion and discovery thresholds, rendering them undetectable. For masses between 2 and 7 TeV, heavy Higgs bosons with \(\tan\beta\) less than 20 can be detected, whereas those with \(\tan\beta\) greater than 20 are beyond the current discovery or exclusion capabilities.