With Planck CMB observations , we established the spectral amplitude and tilt of the primordial power spectrum .
Evidence of a red spectral tilt ( n _ { \mathrm { s } } = 0.96 ) at 8 \sigma provides strong support for the inflationary mechanism , especially the slow-roll of the effective scalar field in its nearly flat potential as the generator of scalar primordial perturbations .
With the next generation of Large Scale Structure surveys , we expect to probe primordial physics beyond the overall shape and amplitude of the main , smooth and slowly-changing part of the inflaton potential .
Using the specifications for the upcoming Euclid survey , we investigate to what extent we can constrain the inflation potential beyond its established slow-roll behaviour .
We provide robust forecasts with Euclid and Planck mock data from 9 fiducial power spectra that contain suppression and wiggles at different cosmological scales , using the Wiggly Whipped Inflation framework to generate these features in the primordial spectrum .
We include both Euclid cosmic shear and galaxy clustering , with a conservative cut-off for non-linear scales .
Using MCMC simulations , we obtain an improvement in constraints in the WWI potential , as well an improvement for the background cosmology parameters .
We find that apart from improving the constraints on the overall scale of the inflationary potential by 40-50 % , we can also identify oscillations in the primordial spectrum that are present within intermediate to small scales ( k \sim 0.01 - 0.2 \mathrm { Mpc ^ { -1 } } ) .