标题： WEAVE-QSO 预报：Lyman-$α$断层图中关键点的三维聚类与连通性 显示英文标题

标题： Forecasts for WEAVE-QSO: 3D clustering and connectivity of critical points with Lyman-$α$ tomography

摘要： 即将到来的WEAVE-QSO巡天将在大区域内针对高密度类星体，从而通过前所未有的、在中间尺度上平滑（$\approx$ 16 Mpc/$h$）的Lyman-$\alpha$吸收森林层析成像重建三维密度场。 我们使用LyMAS生成Lyman-$\alpha$森林的模拟数据，并通过对视线间进行维纳滤波，在与未来WEAVE-QSO观测相兼容的配置下重建三维密度场。 通过测量宇宙网临界点分布的一点和两点统计量来评估重建的保真度。 此外，从第一性原理预测初始拉格朗日统计量，并执行宇宙网连通性的测量。 重建很好地捕捉了临界点自相关和互相关的预期特征。 即使在向合成光谱添加现实噪声后，这一点仍然成立，尽管视线稀疏性引入了系统误差，特别是在具有混合特征的点的互相关中。 具体而言，对于壁和纤维结构，使用类似于WEAVE-QSO的巡天可以测量出高达4σ显著性的最显著聚类特征。 此外，重建场中识别的每个峰值的连通性在全球范围内与其原始场中的对应部分一致，表明重建不仅在统计上，而且在局部保留了密度场的几何形状。 因此，断层重建中临界点的相对位置可以用作WEAVE-QSO及其类似巡天的标准尺，用于暗能量研究。 显示英文摘要

摘要： The upcoming WEAVE-QSO survey will target a high density of quasars over a large area, enabling the reconstruction of the 3D density field through Lyman-$\alpha$ tomography over unprecedented volumes smoothed on intermediate scales ($\approx$ 16 Mpc/$h$). We produce mocks of the Lyman-$\alpha$ forest using LyMAS, and reconstruct the 3D density field between sightlines through Wiener filtering in a configuration compatible with the future WEAVE-QSO observations. The fidelity of the reconstruction is assessed by measuring one- and two-point statistics from the distribution of critical points in the cosmic web. In addition, initial Lagrangian statistics are predicted from first principles, and measurements of the connectivity of the cosmic web are performed. The reconstruction captures well the expected features in the auto- and cross-correlations of the critical points. This remains true after a realistic noise is added to the synthetic spectra, even though sparsity of sightlines introduces systematics, especially in the cross-correlations of points with mixed signature. Specifically, for walls and filaments, the most striking clustering features could be measured with up to 4 sigma of significance with a WEAVE-QSO-like survey. Moreover, the connectivity of each peak identified in the reconstructed field is globally consistent with its counterpart in the original field, indicating that the reconstruction preserves the geometry of the density field not only statistically, but also locally. Hence the critical points relative positions within the tomographic reconstruction could be used as standard rulers for dark energy by WEAVE-QSO and similar surveys.