Title: Clustering dependence on Lyman-$α$ luminosity from MUSE surveys at $3<z<6$ Show Chinese title

Title: 基于MUSE巡天的Lyman-$α$光度的聚类依赖性在$3<z<6$

Abstract: [Abbreviated] We investigate the dependence of Lyman-$\alpha$ emitter (LAE) clustering on Lyman-$\alpha$ luminosity. We use 1030 LAEs from the MUSE-Wide survey, 679 LAEs from MUSE-Deep, and 367 LAEs from the to-date deepest ever spectroscopic survey, the MUSE Extremely Deep Field. All objects have spectroscopic redshifts of $3<z<6$ and cover a large dynamic range of Ly$\alpha$ luminosities: $40.15<\log (L_{\rm{Ly}\alpha}/[\rm{erg \:s}^{-1}])<43.35$. We apply the Adelberger et al. K-estimator as the clustering statistic and fit the measurements with state-of-the-art halo occupation distribution (HOD) models. From the three main data sets, we find that the large-scale bias factor, the minimum mass to host one central LAE, $M_{\rm{min}}$, and (on average) one satellite LAE, $M_1$, increase weakly with an increasing line luminosity. The satellite fractions are $\lesssim10$% ($\lesssim20$%) at $1\sigma$ ($3\sigma$) confidence level, supporting a scenario in which DMHs typically host one single LAE. We next bisected the three main samples into disjoint subsets to thoroughly explore the dependence of the clustering properties on $L_{\rm{Ly}\alpha}$. We report a strong ($8\sigma$) clustering dependence on $L_{\rm{Ly}\alpha}$, where the highest luminosity LAE subsample ($\log(L_{\rm{Ly}\alpha}/[\rm{erg \:s}^{-1}])\approx42.53$) clusters more strongly ($b_{\rm{high}}=3.13^{+0.08}_{-0.15}$) and resides in more massive DMHs ($\log(M_{\rm{h}}/[h^{-1}\rm{M}_{\odot}])=11.43^{+0.04}_{-0.10}$) than the lowest luminosity one ($\log(L_{\rm{Ly}\alpha}/[\rm{erg \:s}^{-1}])\approx40.97$), which presents a bias of $b_{\rm{low}}=1.79^{+0.08}_{-0.06}$ and occupies $\log(M_{\rm{h}}/[h^{-1}\rm{M}_{\odot}])=10.00^{+0.12}_{-0.09}$ halos. We discuss the implications of these results for evolving Ly$\alpha$ luminosity functions, halo mass dependent Ly$\alpha$ escape fractions, and incomplete reionization signatures. Show Chinese abstract

Abstract: [简略] 我们研究了Lyman-$\alpha$发射体(LAE)聚类对其Lyman-$\alpha$光度的依赖性。 我们使用来自MUSE-Wide调查的1030个LAE，来自MUSE-Deep的679个LAE，以及到目前为止最深的光谱调查——MUSE极深场的367个LAE。 所有物体都有光谱红移$3<z<6$，并覆盖了大动态范围的Ly$\alpha$光度：$40.15<\log (L_{\rm{Ly}\alpha}/[\rm{erg \:s}^{-1}])<43.35$。 我们应用Adelberger等人的K估计器作为聚类统计量，并用最先进的晕占有分布(HOD)模型拟合测量结果。 从三个主要数据集，我们发现大尺度偏差因子，宿主一个中心LAE的最小质量$M_{\rm{min}}$，以及（平均而言）一个卫星LAE$M_1$，随着线光度的增加而略有增加。 卫星比例为$\lesssim10$% ($\lesssim20$% ) 在$1\sigma$($3\sigma$) 置信水平，支持暗物质晕通常容纳一个单独的蓝移星系的场景。 我们接下来将三个主要样本分成不相交的子集，以彻底探索聚类特性对$L_{\rm{Ly}\alpha}$的依赖性。 我们报告了一个强烈的($8\sigma$)对$L_{\rm{Ly}\alpha}$的聚类依赖关系，其中最高光度的LAE子样本($\log(L_{\rm{Ly}\alpha}/[\rm{erg \:s}^{-1}])\approx42.53$)聚类更强烈($b_{\rm{high}}=3.13^{+0.08}_{-0.15}$)，并且位于比最低光度的样本($\log(L_{\rm{Ly}\alpha}/[\rm{erg \:s}^{-1}])\approx40.97$)更大质量的DMHs($\log(M_{\rm{h}}/[h^{-1}\rm{M}_{\odot}])=11.43^{+0.04}_{-0.10}$)中，这表现出一个偏差为$b_{\rm{low}}=1.79^{+0.08}_{-0.06}$，并占据$\log(M_{\rm{h}}/[h^{-1}\rm{M}_{\odot}])=10.00^{+0.12}_{-0.09}$晕。 我们讨论这些结果对演化Ly$\alpha$光度函数、晕质量相关的Ly$\alpha$漏逸率以及不完全再电离特征的影响。