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 $f_{NL}$. We can see that the oscillations in $f_{NL}$ in this model last for a much longer range of k values, as compared to the previously studied models. In that sense, this model is potentially distinguishable from models with other features in the potential.

7 pages, 2 figures

References in corpus (11)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Generation and Characterization of Large Non-Gaussianities in Single Field Inflation
• Planck 2018 results. IX. Constraints on primordial non-Gaussianity
• Scale-dependent non-Gaussianity probes inflationary physics
• New Universal Local Feature in the Inflationary Perturbation Spectrum
• A generalized local ansatz and its effect on halo bias
• Is a step in the primordial spectral index favored by CMB data ?
• How Gaussian can our Universe be?
• Primordial Non-Gaussianity