The next-to minimal supersymmetric standard model (NMSSM) with non-universal Higgs masses, i.e., the semi-constrained NMSSM (scNMSSM), extends the minimal supersymmetric standard model (MSSM) by a singlet superfield and assumes universal conditions, except for the Higgs sector. It can not only maintain the simplicity and grace of the fully constrained MSSM and NMSSM and relieve the tension they have been facing since the discovery of the 125-GeV Higgs boson but also allow for an exotic phenomenon wherein the Higgs decay into a pair of light ( ) singlet-dominated (pseudo)scalars (hereafter, in this paper, we use "scalar" for both scalars and pseudoscalars, considering pseudoscalars can also be called CP-odd scalars). This condition can be classified into three scenarios according to the identitiesof the SM-like Higgs and the light scalar: (i) the light scalar is CP-odd, and the SM-like Higgs is ; (ii) the light scalar is CP-odd, and the SM-like Higgs is ; and (iii) the light scalar is CP-even, and the SM-like Higgs is . In this work, we compare the three scenarios, checking the interesting parameter regions that lead to the scenarios, the mixing levels of the doublets and singlets, the tri-scalar coupling between the SM-like Higgs and a pair of light scalars, the branching ratio of Higgs decay to the light scalars, and sensitivities in the detection of the exotic decay at the HL-LHC and future lepton colliders such as CEPC, FCC-ee, and ILC. Finally, several interesting conclusions are drawn, which are useful for understanding the different delicate mechanisms of the exotic decay and designing colliders in future.

具有非通用希格斯质量的下一个最小超对称标准模型 (NMSSM)，即半约束 NMSSM (scNMSSM)，将最小超对称标准模型 (MSSM) 扩展为单线态超场并假设通用条件，除了希格斯扇区。它不仅可以保持完全约束的 MSSM 和 NMSSM 的简单和优雅，缓解他们自发现 125-GeV 希格斯玻色子以来一直面临的紧张局势，而且还允许希格斯衰变为一对光的奇异现象( ) 单线态支配（伪）标量（此后，在本文中，我们对标量和伪标量都使用“标量”，考虑到伪标量也可以称为CP-奇数标量）。根据类 SM 希格斯粒子和光标量的身份，这种情况可以分为三种情况： (i) 光标量是CP -odd，类 SM 希格斯粒子是；(ii) 光标量是CP -odd，SM-like Higgs 是；(iii) 光标量是CP偶数，类似 SM 的希格斯是. 在这项工作中，我们比较了三种场景，检查导致场景的有趣参数区域，双峰和单峰的混合水平，SM-like Higgs 和一对光标量之间的三标量耦合，分支希格斯衰变与光标量的比率，以及在 HL-LHC 和未来的轻子对撞机（如 CEPC、FCC-ee 和 ILC）处检测奇异衰变的灵敏度。最后，得出了几个有趣的结论，这对于理解奇异衰变的不同微妙机制和未来设计对撞机很有帮助。