Failures of Halofit model for computation of Fisher matrices: a response function analysis
Failures of Halofit model for computation of Fisher matrices: a response function analysis
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用于计算 Fisher 矩阵的 Halofit 模型的失败：响应函数分析
DOI：
10.1093/mnras/staa152
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发表时间：
2020
影响因子：
4.8
通讯作者：
Rizzato M
中科院分区：
文献类型：
--
作者：
Reimberg P;Bernardeau F;Nishimichi T;Rizzato M
经历非线性变换的线性系统的响应函数测量非线性输出相对于初始线性状态的灵敏度。这个概念也可以应用于宇宙结构的非线性增长。在本文中，我们研究的Halofit模型的响应函数，我们提出了它的解析结构，我们比较它的理论预测与模拟测量。我们发现两者之间有一个重大的分歧。我们认为，不匹配的响应函数的后果是一个内在的理论限制Halofit预测的非线性功率谱的衍生物相对于宇宙学参数，因此可能的系统性影响Fisher矩阵的预测使用Halofit。特别是，我们使用一个简单的宇宙学模型与两个参数（As，ns）来说明使用Halofit的影响，这种预测的1h− 3Gpc3体积调查。我们报告了对品质因数的最大影响。
The response function of a linear system undergoing a non-linear transformation measures the sensitivity of the non-linear output with respect to the initial linear state. This concept can also be applied to the non-linear growth of structures in the Universe. In this paper, we study the response function for the Halofit model, we present its analytic structure and we compare its theoretical prediction with the one as measured from simulations. We find a major departure between the two. We argue that a consequence of unmatched response functions is an intrinsic theoretical limitation on Halofit to predict the derivatives of the non-linear power spectrum with respect to cosmological parameters, and hence a possible systematic effect on Fisher matrices based forecasts using Halofit. In particular, we use a simple cosmological model with two parameters (As,ns) to illustrate the impact of using Halofit for this kind of forecasts for a 1h−3Gpc3volume survey. We report a maximum impact on the figure of merit of.