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

Donghui Jeong1, Fabian Schmidt1, and Emiliano Sefusatti2

  • 1Theoretical Astrophysics, California Institute of Technology, Mail Code 350-17, Pasadena, California 91125, USA
  • 2Institut de Physique Théorique, CEA, IPhT, 91191 Gif-sur-Yvette cédex, France and CNRS, URA-2306, 91191 Gif-sur-Yvette cédex, France

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Phys. Rev. D 83, 123005 – Published 15 June, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.123005

Abstract

Estimators for weak lensing observables such as shear and convergence generally have nonlinear 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 autocorrelation 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, LP∼55  Mpc/h. Furthermore, the typical scales that contribute to projected bispectra are generally smaller than those that contribute to projected power spectra. Neither of these effects is specific to lensing; thus they affect the statistics of nonlinear tracers (e.g., peaks) of any projected density field. Therefore, 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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Phys. Rev. D 83, 123005– Published 15 June, 2011
  • Received 3 May 2011

© 2011 American Physical Society

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