Lens distortion effects on CMB maps

摘要: Weak lensing effects are known to introduce non-linear couplings in CMB temperature maps. In inflationary scenario, the primary anisotropies expected form a 2D Gaussian map, for which, probability distribution function of ellipticity defined from local curvature matrix has very specific shape. I show that lenses alter significantly shape this PDF, inducing an excess elongated structures. The precise functional is computed both field points and extrema. These analytical results confirmed by numerical experiments on 10x10 square degree These allow investigate smoothing estimate cosmic variance. For best resolution sky coverage Planck mission signal noise ratio statistical indicators presented here about 3 6 depending cosmological models. A marginal detection should therefore be possible.