论文标题
在大规模上对各向异性星系进行两分和三点相关函数的自洽分析：应用于模拟星系目录
Towards a self-consistent analysis of the anisotropic galaxy two- and three-point correlation functions on large scales: application to mock galaxy catalogues
论文作者
论文摘要
我们建立了一种实用方法，用于基于使用三极 - 球形谐波的3PCF的分解形式，对各向异性星系的两点相关函数（2PCF和3PCF）进行联合分析。我们使用Multidark Patchy模拟目录进行了这样的分析，以演示和了解各向异性3PCF的好处。我们专注于$ 80 H^{ - 1} \，{\ rm MPC} $，并使用2pcf和3pcf的Baryon声学振荡（BAO）信号中的信息。我们还应用密度场重建以增加2PCF测量中BAO的信号噪声比，但在3PCF测量中没有。特别是，我们详细研究了角直径距离和哈勃参数的约束。我们构建了双光谱或3PCF的模型，其中包括红移空间中BAO信号的非线性阻尼。我们在分析中仔细说明了各种不确定性，包括3PCF的理论模型，窗口函数校正，估计参数的偏见，来自基准值的估计参数，估计协方差矩阵的模拟实现数量和bin尺寸。与单独的2pcf分析相比，对2PCF和3PCF单极和四极组件的联合分析显示，在2PCF测量重建之前和之后，分别重建2PCF测量之前和之后的Hubble参数约束，分别是$ 30 \％$ $ a nd $ 20 \％$。这项研究清楚地表明，各向异性3PCF从星系调查中增加了宇宙学信息，并鼓励3PCF在比我们考虑的尺寸较小的情况下进一步开发3PCF的建模。
We establish a practical method for the joint analysis of anisotropic galaxy two- and three-point correlation functions (2PCF and 3PCF) on the basis of the decomposition formalism of the 3PCF using tri-polar spherical harmonics. We perform such an analysis with MultiDark Patchy mock catalogues to demonstrate and understand the benefit of the anisotropic 3PCF. We focus on scales above $80 h^{-1}\,{\rm Mpc}$, and use information from the shape and the baryon acoustic oscillation (BAO) signals of the 2PCF and 3PCF. We also apply density field reconstruction to increase the signal-noise ratio of BAO in the 2PCF measurement, but not in the 3PCF measurement. In particular, we study in detail the constraints on the angular diameter distance and the Hubble parameter. We build a model of the bispectrum or 3PCF that includes the nonlinear damping of the BAO signal in redshift space. We carefully account for various uncertainties in our analysis including theoretical models of the 3PCF, window function corrections, biases in estimated parameters from the fiducial values, the number of mock realizations to estimate the covariance matrix, and bin size. The joint analysis of the 2PCF and 3PCF monopole and quadrupole components shows a $30\%$ a nd $20\%$ improvement in Hubble parameter constraints before and after reconstruction of the 2PCF measurements, respectively, compared to the 2PCF analysis alone. This study clearly shows that the anisotropic 3PCF increases cosmological information from galaxy surveys and encourages further development of the modeling of the 3PCF on smaller scales than we consider.
