We produce 1000 realizations of synthetic clustering catalogues for each type of the tracers used for the baryon acoustic oscillation and redshift space distortion analysis of the Sloan Digital Sky Surveys-iv extended Baryon Oscillation Spectroscopic Survey final data release (eBOSS DR16), covering the redshift range from 0.6 to 2.2, to provide reliable estimates of covariance matrices and test the robustness of the analysis pipeline with respect to observational systematics. By extending the Zel’dovich approximation density field with an effective tracer bias model calibrated with the clustering measurements from the observational data, we accurately reproduce the two- and three-point clustering statistics of the eBOSS DR16 tracers, including their cross-correlations in redshift space with very low computational costs. In addition, we include the gravitational evolution of structures and sample selection biases at different redshifts, as well as various photometric and spectroscopic systematic effects. The agreements on the auto-clustering statistics between the data and mocks are generally within $1\, \sigma$ variances inferred from the mocks, for scales down to a few $h^{-1}\, {\rm Mpc}$ in configuration space, and up to $0.3\, h\, {\rm Mpc}^{-1}$ in Fourier space. For the cross correlations between different tracers, the same level of consistency presents in configuration space, while there are only discrepancies in Fourier space for scales above $0.15\, h\, {\rm Mpc}^{-1}$. The accurate reproduction of the data clustering statistics permits reliable covariances for multi-tracer analysis.

中文翻译：

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完成的 SDSS-IV 扩展重子振荡光谱调查：1000 个多示踪模拟目录，包含最终数据发布的星系和类星体的红移演化和系统学

我们为 Sloan Digital Sky Surveys-iv 扩展重子振荡光谱测量最终数据发布 (eBOSS DR16) 的重子声振荡和红移空间失真分析的每种类型的示踪剂生成 1000 个合成聚类目录，涵盖红移范围从 0.6 到 2.2，以提供协方差矩阵的可靠估计并测试分析管道在观察系统学方面的稳健性。通过使用有效的示踪剂偏差模型扩展 Zel'dovich 近似密度场，该模型使用观测数据的聚类测量值进行校准，我们准确地再现了 eBOSS DR16 示踪剂的两点和三点聚类统计数据，包括它们在红移中的互相关计算成本非常低的空间。此外，我们包括结构的引力演化和不同红移下的样本选择偏差，以及各种光度和光谱系统效应。数据和 mocks 之间的自动聚类统计协议通常在 $1\ 以内，从 mocks 推断出 \sigma$ 方差，对于规模缩小到几个 $h^{-1}\, {\rm Mpc}$ in配置空间，并且在傅里叶空间中高达 $0.3\, h\, {\rm Mpc}^{-1}$。对于不同示踪剂之间的互相关，在配置空间中表现出相同水平的一致性，而在傅里叶空间中只有$0.15\、h\、{\rm Mpc}^{-1}$以上的尺度存在差异。数据聚类统计数据的准确再现允许为多示踪分析提供可靠的协方差。