论文标题
超越了银河功率谱：对带有小波散射的boss数据的分析
Going Beyond the Galaxy Power Spectrum: an Analysis of BOSS Data with Wavelet Scattering Transforms
论文作者
论文摘要
我们通过对BOSS DR12 CMASS数据集的WST分析，将小波散射变换（WST）的第一个应用到实际的星系观测。我们包括红移空间各向异性，非平凡的调查几何形状，系统的重量和阿尔科克 - 帕奇尼斯基扭曲效应的影响，遵循了功率谱分析的常用步骤。为了捕获WST的宇宙学依赖性，我们使用了从最先进的Abacussummit模拟获得的星系模拟，并调整了以匹配Boss CMASS样本在红移范围内的各向异性相关功能$ 0.46 <z <z <z <0.60 $。使用我们的模型用于WST系数以及Galaxy功率谱的前2个多物，我们将其用作参考，我们对CMASS数据进行了可能性分析。 We obtain the posterior probability distributions of 4 cosmological parameters, $\{ω_b,ω_c,n_s,σ_8\}$, as well as the Hubble constant, derived from a fixed value of the angular size of the sound horizon at last scattering measured by the Planck satellite, all of which are marginalized over the 7 nuisance parameters of the Halo Occupation Distribution model.与常规功率谱相比，WST被认为可以在预测的$1σ$错误的值方面取得很大的改善，而在平坦和非信息性先验的情况下，这在$ 3-8 $的情况下，在$ 3-8 $的情况下，$ 3-5 $，当时大爆炸型核合成$ 3-8 $。我们的结果是调查性的，并受到某些近似值的约束，我们在文本中进行了讨论。
We perform the first application of the wavelet scattering transform (WST) to actual galaxy observations, through a WST analysis of the BOSS DR12 CMASS dataset. We included the effects of redshift-space anisotropy, non-trivial survey geometry, systematic weights, and the Alcock-Paczynski distortion effect, following the commonly adopted steps for the power spectrum analysis. In order to capture the cosmological dependence of the WST, we use galaxy mocks obtained from the state-of-the-art ABACUSSUMMIT simulations, tuned to match the anisotropic correlation function of the BOSS CMASS sample in the redshift range $0.46<z<0.60$. Using our model for the WST coefficients, as well as for the first 2 multipoles of the galaxy power spectrum, that we use as reference, we perform a likelihood analysis of the CMASS data. We obtain the posterior probability distributions of 4 cosmological parameters, $\{ω_b,ω_c,n_s,σ_8\}$, as well as the Hubble constant, derived from a fixed value of the angular size of the sound horizon at last scattering measured by the Planck satellite, all of which are marginalized over the 7 nuisance parameters of the Halo Occupation Distribution model. The WST is found to deliver a substantial improvement in the values of the predicted $1σ$ errors compared to the regular power spectrum, which are tighter by a factor of $3-5$ in the case of flat and uninformative priors and by a factor of $3-8$, when a Big Bang Nucleosynthesis prior is applied on the value of $ω_b$. Our results are investigative and subject to certain approximations, which we discuss in the text.
