残余密度拓扑作为判别工具：IDM、MSSM和NMSSM暗物质的比较分析
Relic Density Topology as a Discriminatory Tool: A Comparative Analysis of IDM, MSSM, and NMSSM Dark Matter
AI总结：
本研究通过残余密度拓扑分析，比较IDM、MSSM和NMSSM暗物质模型，发现IDM具有更自然的参数空间，而MSSM和NMSSM则依赖精细调节的共振通道。
摘要：
本研究提出了一种基于残余密度拓扑的诊断机制，用于区分惰性双重模型（IDM）、最小超对称标准模型（MSSM）和次最小超对称标准模型（NMSSM）暗物质。通过使用micrOMEGAs在重质量区域（m_x > 300 GeV）进行统一数值扫描，我们对比了这些框架的表观特征。我们证明IDM由于高效的规范耦合具有广而稳定的可行性平台，而MSSM和NMSSM通常过产生暗物质，只有通过狭窄、精细调节的共振通道才能达到普朗克残余密度。定量的精细调节度测量揭示了IDM的可行参数空间比其超对称对应物大一个数量级更自然。此外，通过考察热解耦时期（z_f）和宇宙微波背景辐射能量注入参数（p_ann），我们确认所有识别出的可行区域都与宇宙学观测一致，并且这些模型表现出不同的宇宙热历史场景。我们的发现建立了一个多方面的判别框架：IDM以稳健的平台和低精细调节度为特征，MSSM以陡峭的 slepton 介导湮灭凹陷为特征，NMSSM则由于 singlino 混合而表现出稀释的特征。发现没有尖锐共振特征的重WIMP将从现象学上更倾向于标量双重扩展而非最小超对称框架。
英文摘要：
This study proposes a diagnostic mechanism based on the relic density topology to discriminate between the Inert Doublet Model (IDM), the Minimal Supersymmetric Standard Model (MSSM), and the Next-to-Minimal Supersymmetric Standard Model (NMSSM). Using a unified numerical scan with micrOMEGAs over the heavy-mass regime ($m_{x} > 300$ GeV), we contrast the phenomenological profiles of these frameworks. We demonstrate that the IDM admits a broad, stable viability plateau driven by efficient gauge couplings, while the MSSM and NMSSM typically overproduce dark matter, reaching the Planck relic density only through narrow, fine-tuned resonance channels. A quantitative fine-tuning measure reveals the IDM's viable parameter space is an order of magnitude more natural than its SUSY counterparts. Furthermore, by examining the thermal decoupling epoch ($z_{f}$) and the CMB energy-injection parameter ($p_{ann}$), we confirm that all identified viable regions are consistent with cosmological observations, and that the models exhibit different thermal history scenarios for the Universe. Our findings establish a multi-faceted discriminative framework: the IDM is characterized by a robust plateau and low fine-tuning, the MSSM by a sharp slepton-mediated annihilation dip, and the NMSSM by a diluted signature due to singlino admixture. The discovery of a heavy WIMP without sharp resonance features would therefore phenomenologically favor scalar doublet extensions over minimal supersymmetric frameworks.
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