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

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

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

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.

Useful formula in Schneider, LVW & Mellier, 2002:

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)

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

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:

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

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

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