Primordial non-Gaussianity and the statistics of weak lensing and other projected density fields

摘要: Estimators for weak lensing observables such as shear and convergence generally have nonlinear corrections, which, in principle, make power spectra sensitive to primordial non-Gaussianity. In this paper, we quantitatively evaluate these contributions autocorrelation cross-correlation spectra, show that they are strongly suppressed by projection effects. This is a consequence of the central limit theorem, which suppresses departures from Gaussianity when reaches over several correlation lengths density field, LP∼55  Mpc/h. Furthermore, typical scales contribute projected bispectra smaller than those spectra. Neither effects specific lensing; thus affect statistics tracers (e.g., peaks) any field. Therefore, clustering biased three-dimensional field generically more non-Gaussianity constructed fields.