II。苹果对苹果$A^2$：下一代调查的聚类选择功能
II. Apples to apples $A^2$: cluster selection functions for next-generation surveys
摘要：
我们提出了三个最大的下一代第四阶段的调查在光学和红外：欧几里德乐观，欧几里德悲观和大型综合巡天望远镜（LSST）的集群选择功能。为了模拟这些调查，我们使用了本系列第一篇论文中介绍的真实模拟星表。我们检测星系团使用贝叶斯聚类分析（BCF）在模拟目录。然后，我们建模和校准的总集群恒星质量观测理论质量（$M^*_{\rm CL}-M_{\rm h}$）的关系，使用幂律模型，包括一个可能的红移演化项。我们发现一个适度的分散$σ_{M^*_{\rm CL} | M_{\rm h}}$的0.124，0.135和0.136 $\rm dex$分别为欧几里德乐观，欧几里德悲观和LSST，可与其他工作在更有限的范围内的红移。此外，这三个数据集是一致的，可以忽略的红移的演变，与文献中的观测和模拟结果一致。我们发现，欧几里德乐观将能够检测到集群与$>80\%$的完整性和纯度下降到$8\times10^{13} h^{-1} M_{\odot}$ $z<1$。在更高的红移，相同的完整性和纯度获得更大的质量阈值的$2\times10^{14} h^{-1} M_{\odot}$ $z=2$。欧几里德-贝西厄选择函数具有与$\sim10\%$更高质量极限类似的形状。LSST显示$\sim 5\%$的质量限值高于Euclid-Optimistic，直至$z<0.7$，之后增加，在$z=1.4$达到$2\times10^{14} h^{-1} M_{\odot}$的值。类似的选择功能，只有$80\%$完整性阈值也已计算。这些结果的互补性与选择功能的调查在其他波段进行了讨论。
英文摘要：
We present the cluster selection function for three of the largest next-generation stage-IV surveys in the optical and infrared: Euclid-Optimistic, Euclid-Pessimistic and the Large Synoptic Survey Telescope (LSST). To simulate these surveys, we use the realistic mock catalogues introduced in the first paper of this series. We detected galaxy clusters using the Bayesian Cluster Finder (BCF) in the mock catalogues. We then modeled and calibrated the total cluster stellar mass observable-theoretical mass ($M^*_{\rm CL}-M_{\rm h}$) relation using a power law model, including a possible redshift evolution term. We find a moderate scatter of $σ_{M^*_{\rm CL} | M_{\rm h}}$ of 0.124, 0.135 and 0.136 $\rm dex$ for Euclid-Optimistic, Euclid-Pessimistic and LSST, respectively, comparable to other work over more limited ranges of redshift. Moreover, the three datasets are consistent with negligible evolution with redshift, in agreement with observational and simulation results in the literature. We find that Euclid-Optimistic will be able to detect clusters with $>80\%$ completeness and purity down to $8\times10^{13} h^{-1} M_{\odot}$ up to $z<1$. At higher redshifts, the same completeness and purity are obtained with the larger mass threshold of $2\times10^{14} h^{-1} M_{\odot}$ up to $z=2$. The Euclid-Pessimistic selection function has a similar shape with $\sim10\%$ higher mass limit. LSST shows $\sim 5\%$ higher mass limit than Euclid-Optimistic up to $z<0.7$ and increases afterwards, reaching values of $2\times10^{14} h^{-1} M_{\odot}$ at $z=1.4$. Similar selection functions with only $80\%$ completeness threshold have been also computed. The complementarity of these results with selection functions for surveys in other bands is discussed.
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