The prediction of additional Higgs bosons is one of the key features of physics beyond the Standard Model (SM) that gives rise to an extended Higgs sector. We assess the sensitivity of the Large Hadron Collider (LHC) in the high luminosity (HL) run alone and in combination with a possible future International Linear Collider (ILC) to probe heavy neutral Higgs bosons. We employ the Minimal Supersymmetric Standard Model (MSSM) as a framework and assume the light \(\mathcal {CP}\)-even MSSM Higgs boson to be the Higgs boson observed at \(125\,\mathrm{GeV}\). We discuss the constraints on the MSSM parameter space arising from the precision measurements of the rates of the detected signal at \(125\,\mathrm{GeV}\) and from direct searches for new heavy Higgs bosons in the \(\tau ^+\tau ^-\), \(b\bar{b}\) and di-Higgs (hh) final states. A new benchmark scenario for heavy Higgs searches in the \(b\bar{b}\) channel is proposed in this context. For the future Higgs rate measurements at the HL-LHC and ILC two different scenarios are investigated, namely the case where the future rate measurements agree with the SM prediction and the case where the rates agree with the predictions of possible realizations of the MSSM Higgs sector in nature.

除了标准模型（SM）以外，对其他希格斯玻色子的预测是物理学的关键特征之一，而标准模型（SM）引起了希格斯领域的扩展。我们评估了大型强子对撞机（LHC）在单独运行的高光度（HL）以及与可能的未来国际直线对撞机（ILC）结合使用时探测到的中性希格斯玻色子的敏感性。我们采用最小超对称标准模型（MSSM）作为框架，并假设光\（\ mathcal {CP} \） -甚至MSSM希格斯玻色子也是在\（125 \，\ mathrm {GeV} \）处观测到的希格斯玻色子。。我们讨论了由\（125 \，\ mathrm {GeV} \）处的检测信号速率的精确测量引起的对MSSM参数空间的约束。并直接从\（\ tau ^ + \ tau ^-\），\（b \ bar {b} \）和di-Higgs（hh）最终状态中搜索新的沉重希格斯玻色子。在这种情况下，提出了一种在\（b \ bar {b} \）通道中进行大量希格斯搜索的新基准方案。对于HL-LHC和ILC的未来希格斯速率测量，研究了两种不同的情况，即，未来速率测量与SM预测一致的情况以及速率与MSSM希格斯扇区的可能实现的预测一致的情况在自然界。