论文标题
快速的理论预测，用于大规模结构的球形傅立叶分析
Fast Theoretical Predictions for Spherical Fourier Analysis of Large-Scale Structures
论文作者
论文摘要
正在进行的或即将进行的宇宙学大规模结构调查，例如DESI，Spherex，Euclid或Nancy Grace Roman Space望远镜的高纬度光谱调查有望在大型上对星系聚类的前所未有的测量。当用笛卡尔傅立叶基础量化时，这些大尺度的测量需要引入所谓的广角校正。相比之下，球形傅立叶贝塞尔（SFB）中功率谱的测量不需要这种校正，并且自然地说明了球形调查的几何形状。在这里，我们开发并实施了快速代码来构建SFB功率谱，并研究视线效果，物理（例如非高斯性）如何影响SFB功率谱估计。然后，我们利用我们的计划使用Fisher Matrix形式主义来预测宇宙学限制的紧密性。
On-going or soon to come cosmological large-scale structure surveys such as DESI, SPHEREx, Euclid, or the High-Latitude Spectroscopic Survey of the Nancy Grace Roman Space Telescope promise unprecedented measurement of the clustering of galaxies on large scales. When quantified with the Cartesian Fourier basis, the measurement of these large scales requires the introduction of so-called wide-angle corrections. By contrast, the measurement of the power spectrum in a spherical Fourier Bessel (SFB) basis does not require such corrections and naturally accounts for the spherical survey geometries. Here, we develop and implement a fast code to construct the SFB power spectrum and investigate how line of sight effects, physics such as non-Gaussianity, and differing survey geometries affect SFB power spectrum estimates. We then leverage our program to predict the tightness of cosmological constraints from realistic survey specifications using a Fisher matrix formalism.
