Astronomy and Astrophysics – Astrophysics
Scientific paper
2002-08-16
Phys.Rev. D66 (2002) 083007
Astronomy and Astrophysics
Astrophysics
11 pages, 4 figures, submitted to PRD
Scientific paper
10.1103/PhysRevD.66.083007
We discuss the real-space moments of temperature anisotropies in the cosmic microwave background (CMB) due to weak gravitational lensing by intervening large-scale structure. We show that if the probability distribution function of primordial temperature anisotropies is Gaussian, then it remains unchanged after gravitational lensing. With finite resolution, however, non-zero higher-order cumulants are generated both by lensing autocorrelations and by cross-correlations between the lensing potential and secondary anisotropies in the CMB such as the Sunayev-Zel'dovich (SZ) effect. Skewness is produced by these lensing-SZ correlations, while kurtosis receives contributions from both lensing alone and lensing-SZ correlations. We show that if the projected lensing potential is Gaussian, all cumulants of higher-order than the kurtosis vanish. While recent results raise the possibility of detection of the skewness in upcoming data, the kurtosis will likely remain undetected.
Cooray Asantha
Kamionkowski Marc
Kesden Michael
No associations
LandOfFree
Weak Lensing of the CMB: Cumulants of the Probability Distribution Function 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 Weak Lensing of the CMB: Cumulants of the Probability Distribution Function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weak Lensing of the CMB: Cumulants of the Probability Distribution Function will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-47050