大尺度星系团的混合基推断：结合球面和笛卡尔傅立叶分析
Hybrid-basis inference for large-scale galaxy clustering: combining spherical and Cartesian Fourier analyses
摘要：
未来的精确宇宙学将从包括暗能量光谱仪（DESI）和欧几里得在内的大尺度结构实验中探索比以前调查所涵盖的更广泛和更深的宇宙体积。基于傅立叶平面波基的各向异性星系团的笛卡尔功率谱分析做出了许多假设，包括局部平面平行近似，这些假设在非常大的尺度上不再有效，并且可能会降低宇宙学约束。我们提出了一种方法，利用一个混合的基础上：在最大尺度上，聚类统计被分解成球面傅立叶模式，尊重自然的几何调查观测和物理效应沿视线，如红移空间扭曲，阿尔科克-Paczyovsky和光锥效应;在具有更多聚类模式的较小尺度上，我们保留了由快速傅立叶变换辅助的功率谱分析的计算益处。这种方法是特别适合于本地原始非高斯$f_\textrm{NL}$通过规模依赖的晕偏的似然分析，我们证明了它的适用性与$N$体模拟。我们还发布了我们的公共代码Harmonia（https：//github.com/MikeSWang/Harmonia），用于球面傅立叶或混合基分析中的星系聚类似然推断。
英文摘要：
Future precision cosmology from large-scale structure experiments including the Dark Energy Spectroscopic Instrument (DESI) and Euclid will probe wider and deeper cosmic volumes than those covered by previous surveys. The Cartesian power spectrum analysis of anisotropic galaxy clustering based on the Fourier plane wave basis makes a number of assumptions, including the local plane-parallel approximation, that will no longer be valid on very large scales and may degrade cosmological constraints. We propose an approach that utilises a hybrid basis: on the largest scales, clustering statistics are decomposed into spherical Fourier modes which respect the natural geometry of both survey observations and physical effects along the line of sight, such as redshift-space distortions, the Alcock--Paczyńsky and light-cone effects; on smaller scales with far more clustering modes, we retain the computational benefit of the power spectrum analysis aided by fast Fourier transforms. This approach is particularly suited to the likelihood analysis of local primordial non-Gaussianity $f_\textrm{NL}$ through the scale-dependent halo bias, and we demonstrate its applicability with $N$-body simulations. We also release our public code Harmonia (https://github.com/MikeSWang/Harmonia) for galaxy clustering likelihood inference in spherical Fourier or hybrid-basis analyses.
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