Curvaton with Polynomial Potential

TL;DR

This paper explores the effects of polynomial potentials on the curvaton model, analyzing how self-interactions influence primordial curvature perturbations during inflation.

Contribution

It introduces a comprehensive analysis of polynomial curvaton potentials using the $ abla$ formalism, expanding the understanding of curvaton dynamics and perturbations.

Findings

Self-interaction terms can dominate during inflation, affecting curvature perturbations.

The $ abla$ formalism provides a versatile framework for various curvaton scenarios.

Polynomial potentials lead to richer phenomenology in curvaton models.

Abstract

In general a weakly self-interacting curvaton field is expected and the curvaton potential takes the polynomial form. The curvaton potential can be dominated by the self-interaction term during the period of inflation if the curvaton field stays at a large vacuum expectation value. We use the $\delta {\cal N}$ formalism to calculate the primordial curvature perturbation in the various possible scenarios which make the curvaton model much richer.