论文标题
使用标记加权相关函数来改善宇宙参数的约束
Using the Mark Weighted Correlation Functions to Improve the Constraints on Cosmological Parameters
论文作者
论文摘要
我们使用了标记加权相关功能（MCFS），$ W（s）$来研究宇宙的大规模结构。我们使用加权方案$ρ^α$研究了五种类型的MCF，其中$ρ$是本地密度，$α$被视为$ -1，\ -0.5，\ 0，\ 0，\ 0.5 $和1。我们发现不同的MCF具有非常不同的幅度和规模依赖性。一些MCF在标准相关函数中表现出独特的峰和山谷。它们的位置对红移和背景几何形状非常有力，但是不可能将它们用作``标准统治者''来探测宇宙扩张历史。但是，我们发现这些特征可用于探测与结构形成历史记录相关的参数，例如$σ_8$和星系偏置的值。最后，在使用$ W（s）$ s和$ W_ {ΔS}（μ）$ S的完整形状进行了全面分析之后，我们发现，组合不同类型的MCF可以显着改善宇宙参数约束。与仅使用标准相关函数相比，MCF与$α= 0，\ 0.5，\ 1 $和$α= 0，\ -1，\ -0.5，\ 0.5，\ 1 $的组合可以提高对$ω_m$和$ W $ by $ \％$ \％$ 50 \％$ 50 \％的约束。我们发现非常重要的证据表明MCF可以改善宇宙参数约束。
We used the mark weighted correlation functions (MCFs), $W(s)$, to study the large scale structure of the Universe. We studied five types of MCFs with the weighting scheme $ρ^α$, where $ρ$ is the local density, and $α$ is taken as $-1,\ -0.5,\ 0,\ 0.5$, and 1. We found that different MCFs have very different amplitudes and scale-dependence. Some of the MCFs exhibit distinctive peaks and valleys that do not exist in the standard correlation functions. Their locations are robust against the redshifts and the background geometry, however it is unlikely that they can be used as ``standard rulers'' to probe the cosmic expansion history. Nonetheless we find that these features may be used to probe parameters related with the structure formation history, such as the values of $σ_8$ and the galaxy bias. Finally, after conducting a comprehensive analysis using the full shapes of the $W(s)$s and $W_{Δs}(μ)$s, we found that, combining different types of MCFs can significantly improve the cosmological parameter constraints. Compared with using only the standard correlation function, the combinations of MCFs with $α=0,\ 0.5,\ 1$ and $α=0,\ -1,\ -0.5,\ 0.5,\ 1$ can improve the constraints on $Ω_m$ and $w$ by $\approx30\%$ and $50\%$, respectively. We find highly significant evidence that MCFs can improve cosmological parameter constraints.
