%0 Generic %1 munshi2020lensing %A Munshi, D. %A Namikawa, T. %A Kitching, T. D. %A McEwen, J. D. %A Bouchet, F. R. %D 2020 %K library %T Weak Lensing Skew-Spectrum %U http://arxiv.org/abs/2006.12832 %X We introduce the skew-spectrum statistic for weak lensing convergence $\kappa$ maps and test it against state-of-the-art high-resolution all-sky numerical simulations. We perform the analysis as a function of source redshift and smoothing angular scale for individual tomographic bins. We also analyse the cross-correlation between different tomographic bins. We compare the numerical results to fitting-functions used to model the bispectrum of the underlying density field as a function of redshift and scale. We derive a closed form expression for the skew-spectrum for gravity-induced secondary non-Gaussianity. We also compute the skew-spectrum for the projected $\kappa$ inferred from Cosmic Microwave Background (CMB) studies. As opposed to the low redshift case we find the post-Born corrections to be important in the modelling of the skew-spectrum for such studies. We show how the presence of a mask and noise can be incorporated in the estimation of a skew-spectrum.

@misc{munshi2020lensing, abstract = {We introduce the skew-spectrum statistic for weak lensing convergence $\kappa$ maps and test it against state-of-the-art high-resolution all-sky numerical simulations. We perform the analysis as a function of source redshift and smoothing angular scale for individual tomographic bins. We also analyse the cross-correlation between different tomographic bins. We compare the numerical results to fitting-functions used to model the bispectrum of the underlying density field as a function of redshift and scale. We derive a closed form expression for the skew-spectrum for gravity-induced secondary non-Gaussianity. We also compute the skew-spectrum for the projected $\kappa$ inferred from Cosmic Microwave Background (CMB) studies. As opposed to the low redshift case we find the post-Born corrections to be important in the modelling of the skew-spectrum for such studies. We show how the presence of a mask and noise can be incorporated in the estimation of a skew-spectrum.}, added-at = {2020-06-24T08:49:38.000+0200}, author = {Munshi, D. and Namikawa, T. and Kitching, T. D. and McEwen, J. D. and Bouchet, F. R.}, biburl = {https://www.bibsonomy.org/bibtex/25579e7ff8e37c64b81bbec4e45159e33/gpkulkarni}, description = {Weak Lensing Skew-Spectrum}, interhash = {848df1d9e65d8c669be520300ba0642a}, intrahash = {5579e7ff8e37c64b81bbec4e45159e33}, keywords = {library}, note = {cite arxiv:2006.12832Comment: 16 pages, 11 figures}, timestamp = {2020-06-24T08:49:38.000+0200}, title = {Weak Lensing Skew-Spectrum}, url = {http://arxiv.org/abs/2006.12832}, year = 2020 }