We present measurements of the redshift-dependent clustering of a DESI-like luminous red galaxy (LRG) sample selected from the Legacy Survey imaging dataset, and use the halo occupation distribution (HOD) framework to fit the clustering signal. The LRG sample contains 2.7 million objects over the redshift range of $0.4 < z < 0.9$ over 5655 sq. degrees. We have developed new photometric redshift (photo-$z$) estimates using the Legacy Survey DECam and WISE photometry, with $\sigma_{\mathrm{NMAD}} = 0.02$ precision for LRGs. We compute the projected correlation function using new methods that maximize signal-to-noise while incorporating redshift uncertainties. We present a novel algorithm for dividing irregular survey geometries into equal-area patches for jackknife resampling. For a 5-parameter HOD model fit using the MultiDark halo catalog, we find that there is little evolution in HOD parameters except at the highest-redshifts. The inferred large-scale structure bias is largely consistent with constant clustering amplitude over time. In an appendix, we explore limitations of MCMC fitting using stochastic likelihood estimates resulting from applying HOD methods to N-body catalogs, and present a new technique for finding best-fit parameters in this situation. Accompanying this paper we have released the PRLS (Photometric Redshifts for the Legacy Surveys) catalog of photo-$z$'s obtained by applying the methods used in this work to the full Legacy Survey Data Release 8 dataset. This catalog provides accurate photometric redshifts for objects with $z < 21$ over more than 16,000 square degrees of sky.

中文翻译：

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使用光度红移聚类类似DESI的发光红色星系

我们展示了从 Legacy Survey 成像数据集中选择的类 DESI 发光红色星系 (LRG) 样本的红移依赖聚类的测量值，并使用光环占据分布 (HOD) 框架来拟合聚类信号。LRG 样本包含 270 万个物体，其红移范围为 5655 平方度，$0.4 < z < 0.9$。我们使用 Legacy Survey DECam 和 WISE 光度测量开发了新的光度红移 (photo-$z$) 估计值，LRG 的精度为 $\sigma_{\mathrm{NMAD}} = 0.02$。我们使用新方法计算投影相关函数，这些方法在结合红移不确定性的同时最大化信噪比。我们提出了一种新算法，用于将不规则测量几何图形划分为等面积块以进行折刀重采样。对于使用 MultiDark halo 目录拟合的 5 参数 HOD 模型，我们发现除了最高红移之外，HOD 参数几乎没有变化。推断的大规模结构偏差在很大程度上与随时间推移的恒定聚类幅度一致。在附录中，我们使用将 HOD 方法应用于 N 体目录所产生的随机似然估计来探索 MCMC 拟合的局限性，并提出了一种在这种情况下寻找最佳拟合参数的新技术。伴随本文，我们发布了照片 $z$ 的 PRLS（传统调查的光度红移）目录，该目录是通过将本工作中使用的方法应用于完整的 Legacy Survey Data Release 8 数据集而获得的。该目录为超过 16,000 平方度的天空中 $z < 21$ 的物体提供了准确的光度红移。