A direct measurement of tomographic lensing power spectra from CFHTLenS

We measure the weak gravitational lensing shear power spectra and their cross-power in two photometric redshift bins from the Canada–France–Hawaii Telescope Lensing Survey (CFHTLenS). The measurements are performed directly in multipole space in terms of adjustable band powers. For the extraction of the band powers from the data we have implemented and extended a quadratic estimator, a maximum likelihood method that allows us to readily take into account irregular survey geometries, masks, and varying sampling densities. We find the 68 per cent credible intervals in the σ8–Ωm plane to be marginally consistent with results from Planck for a simple five-parameter Λ cold dark matter (ΛCDM) model. For the projected parameter S8 ≡ σ8 (Ωm/0. 3) 0. 5 we obtain a best-fitting value of S₈ = 0. 768-₀. ₀₃₉^+0. 045. This constraint is consistent with results from other CFHTLenS studies as well as the Dark Energy Survey. Our most conservative model, including modifications to the power spectrum due to baryon feedback and marginalization over photometric redshift errors, yields an upper limit on the total mass of three degenerate massive neutrinos of Σmν Planck breaks the σ8–Ωm degeneracy and yields σ8 = 0. 818 ± 0. 013 and Ωm = 0. 300 ± 0. 011 which is fully consistent with results from Planck alone.