Plenty of crucial information about our universe is encoded in the cosmic large-scale structure (LSS). However, extractions of this information are usually hindered by the nonlinearities of the LSS, which can be largely alleviated by various techniques known as reconstruction. In realistic applications, the efficiencies of these methods are always degraded by many limiting factors, a quite important one being the shot noise induced by the finite number density of biased matter tracers (i.e., luminous galaxies or dark matter halos) in observations. In this work, we explore the gains of biased tracer reconstruction achieved from halo mass information, which can suppress the shot-noise component and dramatically improves the cross-correlation between tracer field and dark matter. To this end, we first closely study the clustering biases and the stochasticity properties of halo fields with various number densities under different weighting schemes, i.e., the uniform, mass, and optimal weightings. Then, we apply the biased tracer reconstruction method to these different weighted halo fields and investigate how linear bias and observational mass scatter affect the reconstruction performance. Our results demonstrate that halo masses are critical information for significantly improving the performance of biased tracer reconstruction, indicating great application potential for substantially promoting the precision of cosmological measurements (especially for baryon acoustic oscillations) in ambitious ongoing and future galaxy surveys.

关于我们宇宙的大量重要信息都编码在宇宙大尺度结构 (LSS) 中。然而，这种信息的提取通常受到 LSS 的非线性的阻碍，这可以通过称为重建的各种技术在很大程度上得到缓解。在实际应用中，这些方法的效率总是会受到许多限制因素的影响，其中一个非常重要的因素是观测中由偏置物质示踪剂（即发光星系或暗物质晕）的有限数密度引起的散粒噪声。在这项工作中，我们探索了从晕质量信息获得的偏置示踪剂重建的收益，它可以抑制散粒噪声分量并显着改善示踪场与暗物质之间的互相关。为此，我们首先仔细研究了不同加权方案下不同数量密度的晕场的聚类偏差和随机性，即均匀加权、质量加权和最优加权。然后，我们将偏置示踪剂重建方法应用于这些不同的加权光晕场，并研究线性偏置和观测质量散射如何影响重建性能。我们的结果表明，晕质量是显着提高偏置示踪剂重建性能的关键信息，表明在雄心勃勃的正在进行和未来的星系调查中，极大地提高了宇宙学测量（尤其是重子声学振荡）的精度的巨大应用潜力。均匀、质量和最佳权重。然后，我们将偏置示踪剂重建方法应用于这些不同的加权光晕场，并研究线性偏置和观测质量散射如何影响重建性能。我们的结果表明，晕质量是显着提高偏置示踪剂重建性能的关键信息，表明在雄心勃勃的正在进行和未来的星系调查中，极大地提高了宇宙学测量（尤其是重子声学振荡）的精度的巨大应用潜力。均匀、质量和最佳权重。然后，我们将偏置示踪剂重建方法应用于这些不同的加权光晕场，并研究线性偏置和观测质量散射如何影响重建性能。我们的结果表明，晕质量是显着提高偏置示踪剂重建性能的关键信息，表明在雄心勃勃的正在进行和未来的星系调查中，极大地提高了宇宙学测量（尤其是重子声学振荡）的精度的巨大应用潜力。