Ringing non-Gaussianity from inflation with a step in the second derivative of the potential

Abstract

Inflationary model driven by a scalar field whose potential has a step in the second derivative with respect to the field is considered. For the best-fit potential parameter values, the 3-point function and the non-Gaussianity associated with the featured model is calculated. We study the shape and scale dependence of the 3-point function. The distinctive feature of this model is its characteristic ringing behaviour of \(f_{\mathrm {NL}}\). We can see that the oscillations in \(f_{\mathrm {NL}}\) in this model last for a much longer range of k values, than the previously studied models. In that sense, this model is potentially distinguishable from models with other features in the potential.