A non-linear solution to the S₈ tension - II. Analysis of DES Year 3 cosmic shear

Weak galaxy lensing surveys have consistently reported low values of the S₈ parameter compared to the Planck lambda cold dark matter (ΛCDM) cosmology. Amon & Efstathiou used KiDS-1000 cosmic shear measurements to propose that this tension can be reconciled if the matter fluctuation spectrum is suppressed more strongly on non-linear scales than assumed in state-of-the-art hydrodynamical simulations. In this paper, we investigate cosmic shear data from the Dark Energy Survey (DES) Year 3. The non-linear suppression of the matter power spectrum required to resolve the S₈ tension between DES and the Planck ΛCDM model is not as strong as inferred using KiDS data, but is still more extreme than predictions from recent numerical simulations. An alternative possibility is that non-standard dark matter contributes to the required suppression. We investigate the redshift and scale dependence of the suppression of the matter power spectrum. If our proposed explanation of the S₈ tension is correct, the required suppression must extend into the mildly non-linear regime to wavenumbers. In addition, all measures of S₈ using linear scales should agree with the Planck ΛCDM cosmology, an expectation that will be testable to high precision in the near future.