论文标题

使用三阶剪切统计I:建模和验证的宇宙参数分析路线图

A roadmap to cosmological parameter analysis with third-order shear statistics I: Modelling and validation

论文作者

Heydenreich, Sven, Linke, Laila, Burger, Pierre, Schneider, Peter

论文摘要

In this work, which is the first of a series to prepare a cosmological parameter analysis with third-order cosmic shear statistics, we model both the shear three-point correlation functions $Γ^{(i)}$ and the third-order aperture statistics $\langle\mathcal{M}_\mathrm{ap}^3\rangle$ from the BiHalofit bispectrum model and通过一系列N体模拟来验证这些统计数据。 然后,我们研究了如何将剪切三分相关函数固定,以实现真实数据中三阶孔径统计的无偏估计。 最后,我们对具有二阶和三阶统计数据的类似于Kids1000的模拟数据进行宇宙学参数分析。我们以很少的偏见恢复所有宇宙参数。此外,我们发现联合分析几乎使$ s_8 $的约束功率翻了一番,并增加了$ω__\ mathrm {m} $ - $σ_8$平面的订单,相对于分析,只有5.9倍,仅使用二阶剪切统计。 我们的建模管道可在https://github.com/sheydenreich/threepoint/releases/上公开获得。

In this work, which is the first of a series to prepare a cosmological parameter analysis with third-order cosmic shear statistics, we model both the shear three-point correlation functions $Γ^{(i)}$ and the third-order aperture statistics $\langle\mathcal{M}_\mathrm{ap}^3\rangle$ from the BiHalofit bispectrum model and validate these statistics with a series of N-body simulations. We then investigate how to bin the shear three-point correlation functions to achieve an unbiased estimate for third-order aperture statistics in real data. Finally, we perform a cosmological parameter analysis on KiDS1000-like mock data with second- and third-order statistics. We recover all cosmological parameters with very little bias. Furthermore, we find that a joint analysis almost doubles the constraining power on $S_8$ and increases the figure-of-merit in the $Ω_\mathrm{m}$-$σ_8$ plane by a factor of 5.9 with respect to an analysis with only second-order shear statistics. Our modelling pipeline is publicly available at https://github.com/sheydenreich/threepoint/releases/.

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