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arXiv 1909.08016astro-ph.COastro-ph.IM
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验证从聚类各向异性约束线性增长率的方法

Validating the methodology for constraining the linear growth rate from clustering anisotropies

Jorge Enrique García-Farieta, Federico Marulli, Lauro Moscardini, Alfonso Veropalumbo, Rigoberto A. Casas-Miranda

摘要:

红移空间的团簇畸变提供了在最大宇宙尺度上检验引力理论的最有力的探针之一。我们进行了系统的验证研究的国家的最先进的统计方法,目前用于约束的线性增长率从红移空间扭曲的星系两点关联函数。模拟晕目录提取的标准宇宙学框架的大型N体模拟的数值管道进行了测试。在同动尺度范围$10<r[$ \Mpch $]<55$内,我们考虑了红移空间两点关联函数的四极矩和四极矩,以及径向和横向的聚集楔。此外,我们调查的影响,红移测量误差的增长率和线性偏置测量由于在红移空间失真模型的假设。考虑色散模型和两个广泛使用的基于微扰理论的模型,我们发现,线性增长率被低估约$5-10\%$在$z<1$,而限制在更大的尺度上的分析,$r>30$ \Mpch,差异减小到$5\%$。在更高的红移,我们发现,而不是一个整体良好的协议之间的测量和模型预测。虽然这种准确性是足够好的聚类分析,在目前的红移调查,模型必须进一步改进,不引入显着的系统性RSD的限制,从下一代星系调查。红移误差的影响是退化的小尺度随机运动之一,并可以在统计分析中边缘化,不引入任何统计上显着的偏差的线性增长约束,特别是在$z\geq1$。

英文摘要:

Redshift-space clustering distortions provide one of the most powerful probes to test the gravity theory on the largest cosmological scales. We perform a systematic validation study of the state-of-the-art statistical methods currently used to constrain the linear growth rate from redshift-space distortions in the galaxy two-point correlation function. The numerical pipelines are tested on mock halo catalogues extracted from large N-body simulations of the standard cosmological framework. We consider both the monopole and quadrupole multipole moments of the redshift-space two-point correlation function, as well as the radial and transverse clustering wedges, in the comoving scale range $10<r[$\Mpch$]<55$. Moreover, we investigate the impact of redshift measurement errors on the growth rate and linear bias measurements due to the assumptions in the redshift-space distortion model. Considering both the dispersion model and two widely-used models based on perturbation theory, we find that the linear growth rate is underestimated by about $5-10\%$ at $z<1$, while limiting the analysis at larger scales, $r>30$ \Mpch, the discrepancy is reduced below $5\%$. At higher redshifts, we find instead an overall good agreement between measurements and model predictions. Though this accuracy is good enough for clustering analyses in current redshift surveys, the models have to be further improved not to introduce significant systematics in RSD constraints from next generation galaxy surveys. The effect of redshift errors is degenerate with the one of small-scale random motions, and can be marginalised over in the statistical analysis, not introducing any statistically significant bias in the linear growth constraints, especially at $z\geq1$.

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