KiDS-450: the tomographic weak lensing power spectrum and constraints on cosmological parameters

We present measurements of the weak gravitational lensing shear power spectrum based on 450 deg(2) of imaging data from the Kilo Degree Survey. We employ a quadratic estimator in two and three redshift bins and extract band powers of redshift autocorrelation and crosscorrelation spectra in the multipole range 76 <= l <= 1310. The cosmological interpretation of the measured shear power spectra is performed in a Bayesian framework assuming a Lambda CDM model with spatially flat geometry, while accounting for small residual uncertainties in the shear calibration and redshift distributions as well as marginalizing over intrinsic alignments, baryon feedback and an excess- noise power model. Moreover, massive neutrinos are included in the modelling. The cosmological main result is expressed in terms of the parameter combination S8 sigma(8) root Omega (m)/ 0.3 yielding S-8 = 0.651 +/- 0.058 (three z- bins), confirming the recently reported tension in this parameter with constraints from Planck at 3.2s (three z- bins). We cross- check the results of the three z- bin analysis with the weaker constraints from the two z- bin analysis and find them to be consistent. The high- level data products of this analysis, such as the band power measurements, covariance matrices, redshift distributions and likelihood evaluation chains