论文标题
球形双光谱：一种新型的可视化方案，用于促进比较
Spherical Bispectrum: A Novel Visualization Scheme For Facilitating Comparisons
论文作者
论文摘要
扰动理论（PT）的最新发展，特别是大规模结构的有效田间理论（EFTOFLSS）及其等效物，在分析星系聚类统计量（例如星系功率谱和Biseptrum）方面已得到强大的功能。为了进一步追求这一追求，我们设计了一种新型的球形双光谱可视化方案，该方案折叠了配置依赖性，以突出双光谱的规模依赖性。产生的一维曲线促进了不同的双光谱之间的比较，例如，通过模拟和PT计算。使用新方案，我们通过将PT的分析预测与Quijote模拟套件的结果进行比较，对PT建模的准确性进行了定量分析。具体来说，我们确定$ k _ {\ rm nl} $，下面的wavenunmber，分析预测与N-Body相吻合，通过检查领先订单（LO）和近代领先订单（NO）Power Spectrum和Bispectrum在RedShifts $ z = 0 $，0.5 $，$ 0.5 $，$ 1 $，$ 2 $，$ 2 $ 3。我们还量化了傅立叶空间中的构造效果，并表明必须对分析预测进行适当的校正，以便将它们与从n体模拟或实际数据获得的离散傅立叶变换结果进行比较。
Recent developments of Perturbation Theory (PT), specifically the Effective Field Theory of Large Scale Structure (EFTofLSS) and its equivalents, have proven powerful in analyzing galaxy clustering statistics such as the galaxy power spectrum and bispectrum. To further this pursuit, we have devised a novel spherical-bispectrum visualization scheme that collapses configuration dependencies to highlight the scale dependence of the bispectrum. The resulting one-dimensional curves facilitate the comparison between different bispectra, for example, from simulation and PT calculation. Using the new scheme, we present a quantitative analysis of the accuracy of PT modeling by comparing PT's analytical prediction to the result from a suite of Quijote simulations. Specifically, we determine $k_{\rm NL}$, the wavenunmber below which the analytical prediction matches well with the N-body result by inspecting both leading order (LO) and next-to-leading order (NLO) power spectrum and bispectrum at redshifts $z=0$, $0.5$, $1$, $2$, $3$. We also quantify the binning effect in Fourier space and show that an appropriate correction must be applied to the analytic predictions in order to compare them with the discrete Fourier transform results obtained from N-body-simulation or real data.
