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arXiv 1104.0926astro-ph.CO
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原始非高斯性与弱透镜等投影密度场的统计

Primordial Non-Gaussianity and the Statistics of Weak Lensing and other Projected Density Fields

Donghui Jeong, Fabian Schmidt, Emiliano Sefusatti

摘要:

弱透镜观测量(如剪切和收敛)的估计通常具有非线性校正,这在原则上使弱透镜功率谱对原始非高斯性敏感。在本文中,我们定量评估这些贡献弱透镜自相关和互相关功率谱,并表明,它们强烈抑制投影效应。这是中心极限定理的结果,当投影达到密度场的几个相关长度L_P~55 [Mpc/h]时,中心极限定理抑制了对高斯性的偏离。此外,对投影双谱有贡献的典型尺度通常小于对投影功率谱有贡献的尺度。这两种效应都不是透镜效应所特有的,因此会影响非线性示踪剂的统计(例如,任何投影密度场的峰值)。因此,三维密度场的有偏示踪剂的聚类一般比从投影密度场构造的可观测量对非高斯性更敏感。

英文摘要:

Estimators for weak lensing observables such as shear and convergence generally have non-linear corrections, which, in principle, make weak lensing power spectra sensitive to primordial non-Gaussianity. In this paper, we quantitatively evaluate these contributions for weak lensing auto- and cross-correlation power spectra, and show that they are strongly suppressed by projection effects. This is a consequence of the central limit theorem, which suppresses departures from Gaussianity when the projection reaches over several correlation lengths of the density field, L_P~55 [Mpc/h]. Furthermore, the typical scales that contribute to projected bispectra are generally smaller than those that contribute to projected power spectra. Both of these effects are not specific to lensing, and thus affect the statistics of non-linear tracers (e.g., peaks) of any projected density field. Thus, the clustering of biased tracers of the three-dimensional density field is generically more sensitive to non-Gaussianity than observables constructed from projected density fields.

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