论文标题
综合的角度双光谱
The integrated angular bispectrum
论文作者
论文摘要
我们研究了球体上2D宇宙学领域的位置依赖性功率谱和综合双光谱统计量（综合角双光谱）。首先，根据方位角对称贴片的构建，我们得出了一个有用的，$ m $独立的，用于全天空集成的角度双光谱的公式。然后，我们实施了一条综合角双光谱估计的管道，包括在现实条件下（例如，非核噪声，天空掩盖）的平均场校正以说明伪造的各向同性破裂效应。最后，我们使用模拟和实际PLANCK数据展示了该估计量对CMB分析的应用的示例。此类示例包括$ f_ \ mathrm {nl} $估计，对次级各向异性（ISW-Lensing和ISW-TSZ-TSZ Bispectra）的非高斯性分析以及对前景污染的非高斯签名的研究。
We study the position-dependent power spectrum and the integrated bispectrum statistic for 2D cosmological fields on the sphere (integrated angular bispectrum). First, we derive a useful, $m$-independent, formula for the full-sky integrated angular bispectrum, based on the construction of azimuthally symmetric patches. We then implement a pipeline for integrated angular bispectrum estimation, including a mean-field correction to account for spurious isotropy-breaking effects in realistic conditions (e.g., inhomogenous noise, sky masking). Finally, we show examples of applications of this estimator to CMB analysis, both using simulations and actual Planck data. Such examples include $f_\mathrm{NL}$ estimation, analyses of non-Gaussianity from secondary anisotropies (ISW-lensing and ISW-tSZ-tSZ bispectra) and studies of non-Gaussian signatures from foreground contamination.
