发表机构
Zunyi Normal University; Anhui Science and Technology University; Anhui Normal University（遵义师范学院; 安徽科技学院; 安徽师范大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文利用多种观测数据约束HDE、THDE和BHDE模型参数，通过分析结构形成相关量发现THDE模型与其余模型区分明显，表明结构形成可作为区分全息暗能量模型的有效探针。
AI 中文摘要
结构形成已被用于检验THDE模型中红外截断的可行性，并且发现未来事件视界是一个可行的红外截断（Phys. Rev. D {\bf 113}, 123531 (2026)）。受此启发，本文利用联合的Pantheon+ SN Ia、OHD、DESI DR2和CMB距离先验数据集，约束了HDE、THDE和BHDE模型的模型参数，并使用来自MCMC样本的参数集分析了这些模型的$f\sigma_{8}(z)$和$S_{8}(z)$的演化。我们发现，HDE和BHDE的$f\sigma_{8}(z)$和$S_{8}(z)$演化曲线几乎无法区分，而THDE模型的曲线位于最低处。$\chi^{2}$统计量表明，对于$f\sigma_{8}$和$S_{8}$的测量，THDE模型给出了最低的$\chi^{2}$值。最后，我们构建了($f\sigma_{8}$,$S_{8}$)平面作为诊断工具来分析这些模型的轨迹，并发现THDE模型的轨迹能够达到当前的($f\sigma_{8}$,$S_{8}$)数据区域。这些结果表明，结构形成可以区分THDE与HDE和BHDE，并表明结构形成可以作为区分HDE模型的有用探针，并可扩展到其他HDE场景。
英文摘要
Structure formation has been used to test the viability of the IR cutoff in the THDE model, and the future event horizon was found to be a viable IR cutoff (Phys. Rev. D {\bf 113}, 123531 (2026)). Motivated by this, in this paper, using the combined Pantheon+ SN Ia, OHD, DESI DR2, and CMB distance prior datasets, we constrain the model parameters for the HDE, THDE, and BHDE models, and use parameter sets from the MCMC samples to analyze the evolution of $fσ_{8}(z)$ and $S_{8}(z)$ for these models. We find that the evolutionary curves of both $fσ_{8}(z)$ and $S_{8}(z)$ for HDE and BHDE are nearly indistinguishable, while the curves for the THDE model lie lowest. The $χ^{2}$ statistic shows that the THDE model yields the lowest $χ^{2}$ value for both $fσ_{8}$ and $S_{8}$ measurements. Finally, we construct the ($fσ_{8}$,$S_{8}$) plane as a diagnostic to analyze the trajectories of these models, and find that the trajectory of the THDE model can achieve the current ($fσ_{8}$,$S_{8}$) data region. These results demonstrate that structure formation can distinguish THDE from HDE and BHDE, and suggest that structure formation can serve as a useful probe for distinguishing HDE models and can be extended to other HDE scenarios.
