Removing the Impact of Correlated PSF Uncertainties in Weak Lensing
  Accurate reconstruction of the spatial distributions of the Point Spread
Function (PSF) is crucial for high precision cosmic shear measurements.
Nevertheless, current methods are not good at recovering the PSF fluctuations
of high spatial frequencies. In general, the residual PSF fluctuations are
spatially correlated, therefore can significantly contaminate the correlation
functions of the weak lensing signals. We propose a method to correct for this
contamination statistically, without any assumptions on the PSF and galaxy
morphologies or their spatial distribution. We demonstrate our idea with the
data from the W2 field of CFHTLenS.
