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Assuming two Higgs doublet model (2HDM) at SM-like scenario as thetheoretical framework, this study addresses the question of observability ofheavy neutral CP-even and CP-odd Higgs bosons $H$ and $A$ at a linear collideroperating at $\sqrt{s}=1$ TeV. The signal production channel is $e^- e^+\rightarrow A H \rightarrow ZHH$ with subsequent leptonic decay of the $Z$boson and Higgs bosons decays into $b$ quark pairs. Therefore, to be specific,type-I 2HDM is used to allow dominant Higgs boson decay to b-quark pairs belowthe top quark pair production threshold. Two benchmark points with mass ranges$150\leq m_H\leq 200$ and $250\leq m_A\leq 300$ are simulated. The relevantenergy and momentum smearing is applied and appropriate selection cuts areimposed to enrich signal events. Results indicate that both Higgs bosons areobservable with signals exceeding $5\sigma$ significance with possibility ofmass measurement at the integrated luminosity of 500 $fb^{-1}$.

Observability of 2HDM neutral Higgs bosons with different masses at future $e^+e^-$ linear colliders