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arXiv 2207.03410astro-ph.CO
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关于弱透镜响应函数

On Weak Lensing Response Functions

D. Munshi, R. Takahashi, J. D. McEwen

摘要:

我们介绍了响应函数(RFs)的方法来模拟弱透镜统计的分离宇宙形式主义的背景下。RF的数值结果,提出了各种半解析模型,包括微扰建模和变种的晕模型。这些结果将积分双谱和三谱的研究推广到任意阶。我们发现,由于视线(los)投影效应,RF的表达式是不相同的压缩关联函数的相同的顺序。我们计算的RF在三维(3D)使用球面傅里叶-贝塞尔(sFB)形式主义,它提供了一个自然的框架,将光度红移,并将这些表达式与断层扫描和投影统计。本文将$k$截谱的概念推广到$k$截谱响应函数。除了高阶光谱的响应函数,我们还定义了它们在真实空间中的对应物,因为它们更容易从低天空覆盖率和非平凡的调查边界的调查中估计。

英文摘要:

We introduce the response function (RFs) approach to model the weak lensing statistics in the context of separate universe formalism. Numerical results for the RFs are presented for various semi-analytical models that include perturbative modelling and variants of halo models. These results extend the recent studies of the Integrated Bispectrum (IB) and Trispectrum to arbitrary order. We find that due to the line-of-sight (los) projection effects, the expressions for RFs are not identical to the squeezed correlation functions of the same order. We compute the RFs in three-dimensions (3D) using the spherical Fourier-Bessel (sFB) formalism which provides a natural framework for incorporating photometric redshifts, and relate these expressions to tomographic and projected statistics. We generalise the concept of $k$-cut power spectrum to $k$-cut response functions. In addition to the response function for high-order spectra, we also define their counterparts in real space, since they are easier to estimate from surveys with low sky-coverage and non-trivial survey boundaries.

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