Towards a self-consistent analysis of the anisotropic galaxy two- and three-point correlation functions on large scales: application to mock galaxy catalogues
Towards a self-consistent analysis of the anisotropic galaxy two- and three-point correlation functions on large scales: application to mock galaxy catalogues
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DOI：
10.1093/mnras/staa3725
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发表时间：
2020-10
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通讯作者：
Naonori S. Sugiyama;S. Saito;F. Beutler;H. Seo
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作者：
Naonori S. Sugiyama;S. Saito;F. Beutler;H. Seo
本文在利用三极球谐函数对3 PCF进行分解的基础上，建立了一种对各向异性星系两点和三点关联函数（2 PCF和3 PCF）进行联合分析的实用方法。我们用MultiDark Patchy模拟目录进行这样的分析，以证明和理解各向异性3 PCF的好处。我们专注于80 h^{-1}\，{\rm Mpc}$以上的尺度，并使用来自2 PCF和3 PCF的形状和重子声振荡（BAO）信号的信息。我们还应用密度场重建来提高2 PCF测量中BAO的信噪比，但在3 PCF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。我们在红移空间中建立了一个包含BAO信号非线性阻尼的双谱或3 PCF模型。在我们的分析中，我们仔细考虑了各种不确定性，包括3 PCF的理论模型，窗口函数校正，从基准值估计参数的偏差，估计协方差矩阵的模拟实现的数量，以及bin大小。联合分析的2 PCF和3 PCF的双极和四极组件显示了$30\%$和$20\%$的改进哈勃参数的约束之前和之后的2 PCF测量重建，分别相比，单独的2 PCF分析。这项研究清楚地表明，各向异性的3 PCF增加了星系调查的宇宙学信息，并鼓励在比我们认为的更小的尺度上进一步发展3 PCF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.