发表机构
Hiroshima University（广岛大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过贝叶斯框架和哈密顿蒙特卡洛方法，利用213个X射线选择星系团的弱引力透镜数据，约束质量-浓度关系，发现其与数值模拟一致，且倾向于具有正曲率的单调递减模型。
AI 中文摘要
我们开发了一种贝叶斯推广方法，用于约束由理论和观测研究驱动的多种质量-浓度（M-C）关系。该框架包含了浓度中的内在散射、非线性弱引力透镜（WL）校准关系、WL测量误差协方差以及潜在的母体质量分布。我们采用哈密顿蒙特卡洛方法以提高计算效率。我们的样本包括来自eRASS1、XXL、LoCuSS和MCXC星表的213个X射线选择的星系团，其弱引力透镜测量在0<z<0.9范围内。对于每个子样本，我们考虑了其特定的WL校准关系和潜在的总体分布。我们考虑了一个传统的单一幂律模型、一个经验的双幂律模型以及四个针对数值模拟校准的理论模型。这四个理论M-C模型包括两个浓度随质量增加而降低的模型，其区别在于d^2ln c/d(ln M)^2的符号，以及两个浓度随质量增加先降低后在高质量端上升的模型。由于我们星系团样本的质量和红移范围未延伸到数值模拟预测的上升区域，我们主要通过M-C关系的曲率来区分这些模型。无论采用哪种模型，推断出的M-C关系都与最近的数值模拟结果高度一致。我们发现模型之间在4σ水平以上没有统计学显著差异。然而，结果显示出质量依赖性向高质量端逐渐平坦化的趋势。具体而言，一个具有正曲率的单调递减模型在2σ水平上优于单一幂律关系和具有负曲率的单调递减模型，并在0.5-1σ水平上优于三个双幂律模型。
英文摘要
We develop a Bayesian generalization of the previous method to constrain a wide variety of mass-concentration (M-C) relations motivated by both theoretical and observational studies. The framework incorporates the intrinsic scatter in concentration, nonlinear weak-lensing (WL) calibration relations, the WL measurement-error covariance, and the underlying parent mass distribution. We employ Hamiltonian Monte Carlo for computational efficiency. Our sample consists of 213 X-ray-selected clusters with WL measurements for the eRASS1, XXL, LoCuSS, and MCXC catalogs at 0<z< 0.9. For each subsample, we account for its specific WL calibration relation and underlying population distribution. We consider a conventional single power-law model, an empirical double power-law model, and four theoretical models calibrated against numerical simulations. The four theoretical M-C models comprise two in which concentration decreases with mass, distinguished by the sign of d^2ln c/d(ln M)^2, and two in which the concentration decreases with increasing mass before turning upward at high masses. Because the mass and redshift ranges of our cluster sample do not extend into the upturn regime predicted by numerical simulations, we distinguish among the models primarily through the curvature of their M-C relations. Regardless of which model is adopted, the inferred M-C relation is in good agreement with the results of recent numerical simulations. We find no statistically significant differences among the models above the $4σ$ level. However, the result shows a tendency toward a gradual flattening of the mass dependence toward higher masses. Specifically, a monotonically decreasing model with positive curvature is preferred over the single power-law relation and a monotonically decreasing model with negative curvature at the $2σ$ level and over three double power-law models at the $0.5-1σ$ level.
Commentssubmitted to PASJ ; 15 pages, 5 figures, and 8 tables
