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We present a re-analysis of the CFHTLenS weak gravitational lensing surveyusing Complete Orthogonal Sets of E/B-mode Integrals, known as COSEBIs. COSEBIsprovide a complete set of functions to efficiently separate E-modes fromB-modes and hence allow for robust and stringent tests for systematic errors inthe data. This analysis reveals significant B-modes on large angular scalesthat were not previously seen using the standard E/B decomposition analyses. Wefind that the significance of the B-modes is enhanced when the data is split bygalaxy type and analysed in tomographic redshift bins. Adding tomographic binsto the analysis increases the number of COSEBIs modes, which results in a lessaccurate estimation of the covariance matrix from a set of simulations. Wetherefore also present the first compressed COSEBIs analysis of survey data,where the COSEBIs modes are optimally combined based on their sensitivity tocosmological parameters. In this tomographic CCOSEBIs analysis we find theB-modes to be consistent with zero when the full range of angular scales areconsidered.

Revisiting CFHTLenS cosmic shear: Optimal E/B mode decomposition using COSEBIs and compressed COSEBIs