Primordial non-Gaussianity and the statistics of weak lensing and other projected density fields
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.
Additional Information
© 2011 American Physical Society. Received 3 May 2011; published 15 June 2011. We would like to thank Francis Bernardeau, Duncan Hanson, Chris Hirata, Toshiya Namikawa, and Atsushi Taruya for enlightening discussions. D. J. and F. S. are supported by the Gordon and Betty Moore Foundation at Caltech. E. S. acknowledges support by the European Commission under the Marie Curie Inter European Fellowship. We are grateful to the organizers of the "Cosmo/CosPA 2010" Conference at the University of Tokyo, Japan, where this work was initiated.Attached Files
Published - Jeong2011p14352Phys_Rev_D.pdf
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Additional details
- Eprint ID
- 24325
- Resolver ID
- CaltechAUTHORS:20110707-074510320
- Gordon and Betty Moore Foundation
- European Commission Marie Curie Inter European Fellowship
- Created
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2011-07-11Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field