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In order to investigate the origin of the ongoing tension between the amplitude matter fluctuations measured by weak lensing experiments at low redshifts and the value from the cosmic microwave background anisotropies, we reconstruct the evolution of amplitude from z ∼ 2 using existing large-scale structure data. To do so, we decouple linear growth of density inhomogeneities from the background expansion, and constrain redshift dependence making use of a combination of 6 different data sets, including cosmic shear, galaxy clustering and CMB lensing. We analyze these data under a consistent-space angular power spectrum-based pipeline. We show that current data constrain the amplitude of fluctuations mostly in the range 0. 2 < z < 0. 7, where it is lower than by Planck. This difference is mostly driven by current cosmic shear data, although growth histories reconstructed from different data combinations are consistent with each, and we find no evidence of systematic deviations in any particular experiment. In of the tension with Planck, the data are well-described by the ΛCDM model, albeit a lower value of S8 ≡ σ8 (Ωm/0. 3) 0. 5. As part of our analysis, we find constraints on parameter of S8 = 0. 7781 ± 0. 0094 (68% confidence level), reaching almost percent-level comparable with CMB measurements, and 3. 4σ away from the value found by Planck.
García-García et al. (Fri,) studied this question.