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arXiv 2109.02308astro-ph.CO
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巡天几何学和超样本协方差对未来光度星系巡天的影响

Impact of survey geometry and super-sample covariance on future photometric galaxy surveys

S. Gouyou Beauchamps, F. Lacasa, I. Tutusaus, M. Aubert, P. Baratta, A. Gorce, Z. Sakr

摘要:

光度星系巡天探测了密度场高度非高斯的晚期宇宙。其结果是超样本协方差(SSC)的出现,这是一个非高斯协方差项,对大于调查窗口的尺度上的波动敏感。在这项工作中,我们研究的调查几何形状对SSC的影响,随后,对宇宙学参数的推断。我们设计了一个快速的SSC近似占调查几何形状和比较其性能的常见近似重新缩放的结果由调查,$f_\mathrm{SKY}$,被称为"全天空近似"的天空覆盖的分数。为了衡量我们新的SSC配方的影响,被称为"部分天空",我们执行费舍尔预测的参数的$(w_0,w_a)$-CDM模型在3x2点分析,改变调查区域,几何形状的掩模和星系分布在我们的红移箱。边缘化的预测误差的差异,与全天空近似表现不佳的小调查领域,但出色的第四阶段的地区,被发现被吸收的边缘化星系偏置滋扰参数。对于大的调查区域,未边缘化的误差被低估了约10%的所有探头考虑。这是一个提示,即使是第四阶段的调查,在这项工作中引入的部分天空的方法将是必要的,如果紧先验应用于这些讨厌的参数。

英文摘要:

Photometric galaxy surveys probe the late-time Universe where the density field is highly non-Gaussian. A consequence is the emergence of the super-sample covariance (SSC), a non-Gaussian covariance term that is sensitive to fluctuations on scales larger than the survey window. In this work, we study the impact of the survey geometry on the SSC and, subsequently, on cosmological parameter inference. We devise a fast SSC approximation that accounts for the survey geometry and compare its performance to the common approximation of rescaling the results by the fraction of the sky covered by the survey, $f_\mathrm{SKY}$, dubbed 'full-sky approximation'. To gauge the impact of our new SSC recipe, dubbed 'partial-sky', we perform Fisher forecasts on the parameters of the $(w_0,w_a)$-CDM model in a 3x2 points analysis, varying the survey area, the geometry of the mask and the galaxy distribution inside our redshift bins. The differences in the marginalised forecast errors, with the full-sky approximation performing poorly for small survey areas but excellently for stage-IV-like areas, are found to be absorbed by the marginalisation on galaxy bias nuisance parameters. For large survey areas, the unmarginalised errors are underestimated by about 10% for all probes considered. This is a hint that, even for stage-IV-like surveys, the partial-sky method introduced in this work will be necessary if tight priors are applied on these nuisance parameters.

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