Gaussianizing the non-Gaussian lensing convergence field I: the performance of the Gaussianization

Details Gaussianizing the non-Gaussian lensing convergence field I: the performance of the Gaussianization Gaussianizing the non-Gaussian lensing convergence field I: the performance of the Gaussianization

2011-03-15

arxiv.org/abs/1103.2858v3

Phys.Rev.D84:023523,2011

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

13 pages, 15 figures, accepted by PRD

Scientific paper

10.1103/PhysRevD.84.023523

Motivated by recent works of Neyrinck et al. 2009 and Scherrer et al. 2010, we proposed a Gaussianization transform to Gaussianize the non-Gaussian lensing convergence field $\kappa$. It performs a local monotonic transformation $\kappa\rightarrow y$ pixel by pixel to make the unsmoothed one-point probability distribution function of the new variable $y$ Gaussian. We tested whether the whole $y$ field is Gaussian against N-body simulations. (1) We found that the proposed Gaussianization suppresses the non-Gaussianity by orders of magnitude, in measures of the skewness, the kurtosis, the 5th- and 6th-order cumulants of the $y$ field smoothed over various angular scales relative to that of the corresponding smoothed $\kappa$ field. The residual non-Gaussianities are often consistent with zero within the statistical errors. (2) The Gaussianization significantly suppresses the bispectrum. Furthermore, the residual scatters around zero, depending on the configuration in the Fourier space. (3) The Gaussianization works with even better performance for the 2D fields of the matter density projected over $\sim 300 \mpch$ distance interval centered at $z\in(0,2)$, which can be reconstructed from the weak lensing tomography. (4) We identified imperfectness and complexities of the proposed Gaussianization. We noticed weak residual non-Gaussianity in the $y$ field. We verified the widely used logarithmic transformation as a good approximation to the Gaussianization transformation. However, we also found noticeable deviations.

Affiliated with

Also associated with

No associations

Rating

Gaussianizing the non-Gaussian lensing convergence field I: the performance of the Gaussianization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Gaussianizing the non-Gaussian lensing convergence field I: the performance of the Gaussianization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gaussianizing the non-Gaussian lensing convergence field I: the performance of the Gaussianization will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-138572