Astronomy and Astrophysics – Astrophysics
Scientific paper
2000-09-26
Mon.Not.Roy.Astron.Soc. 322 (2001) 918
Astronomy and Astrophysics
Astrophysics
7 pages, submitted to MNRAS
Scientific paper
10.1046/j.1365-8711.2001.04241.x
As pointed out in previous studies, the measurement of the skewness of the convergence field $\kappa$ will be useful in breaking the degeneracy among the cosmological parameters constrained from weak lensing observations. The combination of shot noise and finite survey volume implies that such a measurement is likely to be done in a range of intermediate scales ($0.5'$ to 20') where neither perturbation theory nor the hierarchical ansatz apply. Here we explore the behavior of the skewness of $\kappa$ at these intermediate scales, based on results for the non-linear evolution of the mass bispectrum. We combined different ray-tracing simulations to test our predictions, and we find that our calculations describe accurately the transition from the weakly non-linear to the strongly non-linear regime. We show that the single lens-plane approximation remains accurate even in the non-linear regime, and we explicitly calculate the corrections to this approximation. We also discuss the prospects of measuring the skewness in upcoming weak lensing surveys.
Bernardeau Francis
Colombi Stephane
Hamana Takashi
Scoccimarro Roman
Waerbeke Ludo van
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