Presentation is loading. Please wait.

Presentation is loading. Please wait.

Ludovic Van Waerbeke Department of Physics and Astronomy University of British Columbia A (very short) introduction to E/B modes Measurement and high order.

Similar presentations


Presentation on theme: "Ludovic Van Waerbeke Department of Physics and Astronomy University of British Columbia A (very short) introduction to E/B modes Measurement and high order."— Presentation transcript:

1 Ludovic Van Waerbeke Department of Physics and Astronomy University of British Columbia A (very short) introduction to E/B modes Measurement and high order statistics

2 Convergence (or projected mass) power spectrum: Aperture mass (Map) variance at scale  c : Top-hat shear variance at scale  c : Shear correlation function at separation  : Cosmic Shear two-points Statistics and mass Power Spectrum

3 Crittenden et al. 2000, Pen et al. 2002: E and B mode decomposition of the two points statistics

4 Top-hat variance, which can be decomposed into E and B modes using Aperture mass variance How to get properly normalised E/B xi and top-hat variance? Use the aperture mass to fix your unknown B mode constant.

5 Useful formula in Schneider, LVW & Mellier, 2002:

6 Simulated 3x3 degrees reconstructed convergence map Convergence PDF Expected  constraints S 3 = / 2 ~40    zs -1.3 VIRMOS-Descart: high order statistics (LVW, Bernardeau, Mellier, 1999)

7 Simulated 3x3 degrees shear map 3-pts function pattern d 12 1 2 3 3 21 High order statistics: shear 3-pts function (Bernardeau et al. 2003)

8 E+B and E-B for the two-points and three-points functions. Dotted line Is TCDM and dashed line is OCDM. Cosmic variance with the OCDM:

9 Uncorrected star (solid lines) and corrected galaxies (dotted) two and three Points functions.

10

11 (Pen et al., 2003) Aperture mass skewness from three point function integration (Jarvis et al., 2004) CTIOVIRMOS-Descart

12 +DEEP+COSMOS More to come…soon! Virmos-Descart Wide CFHTLS


Download ppt "Ludovic Van Waerbeke Department of Physics and Astronomy University of British Columbia A (very short) introduction to E/B modes Measurement and high order."

Similar presentations


Ads by Google