Weak lensing predictions for coupled dark energy cosmologies at non-linear scales

We present non-linear weak lensing for coupled dark energy using the Coupled Dark Energy Cosmological Simulations (CoDECS) . We calculate the shear correlation function and error expected for these models, for forthcoming ground-based [such Dark Energy Survey (DES)] and space-based (Euclid) weak lensing . We obtain predictions for the discriminatory power of a -based survey similar to DES and a space-based survey such as in distinguishing between Λ cold dark matter (ΛCDM) coupled dark energy models; we show that using the non-linear signal we could discriminate between ΛCDM and exponential coupling models with β₀≥ 0.1 at 4σ level with a DES-like survey and β₀≥ 0.05 5σ confidence level with Euclid. We also demonstrate that the coupled dark energy models' non-linear power spectrum, the ΛCDM HALOFIT fitting formula, results in biases in the correlation function that exceed the survey errors.