希格斯粒子的发现激发了近年来对希格斯性质和超出标准模型新物理等方向的新的研究热点。希格斯粒子在早期宇宙物理中的角色高度依赖于希格斯粒子性质的确认，然而将未来对撞机上希格斯性质的研究与暗物质观测和电弱相变结合的工作还远远不够。本项目将讨论推广的双希格斯二重态模型和标量单态模型等包含暗物质候选者并可以产生电弱相变的新物理模型，重点计算对标准模型希格斯耦合的树图和电弱单圈修正，对未来正负电子对撞机上希格斯产生过程和各个衰变道的估计测量精度进行贝叶斯拟合，并结合模型标量势产生电弱相变的条件和受暗物质探测实验限制的模型参数空间，预测未来希格斯工厂探测相关参数空间的能力。针对以上参数空间预言的新希格斯粒子，我们接着将研究其对撞机产生信号、事例重建和标准模型本底，为未来高能对撞机实验建议直接发现可能新希格斯粒子的乐观信号。我们还将讨论干涉效应在LHC和未来对撞机上对探测标量粒子的作用。

The discovery of the Higgs boson, by the LHC experiments, opened a landscape of possibilities in the study of Higgs boson properties as well as new avenues in probing new physics beyond the Standard Model. The question of the nature of the Electroweak Phase transition and Dark Matter is strongly intertwined with Higgs physics. However, the study of Higgs properties at future colliders together with dark matter measurement and Electroweak Phase transition is far from being adequate. This project will mainly discuss Higgs-related new physics models, such as extended Two Higgs Doublet Model (2HDM), extended scalar singlet model, and etc. We will include the extra contributions from the heavy Higgs bosons to the SM Higgs couplings at the tree-level and at the one-loop level in a full model parameter space. Then we perform a multiple variable global fit to the estimated statistical precisions for Higgs measurements obtained at the proposed lepton colliders. Combined with the parameter space for satisfying DM observables and the condition of Electroweak Phase Transition (EWPT), we will show the potential of future lepton colliders for probing the new physics models. On the other hand, we will study the production channels and decay modes of heavy Higgs bosons, including the collider signals, the reconstruction of signal events and the analysis of the SM backgrounds. We will present the parameter space that future high-energy hadron colliders can reach and the discovery of new Higgs bosons if they exist. We will also discuss the interference effects in the exploration of spin-0 states at the LHC and future colliders.