Curvaton distribution from stochastic inflation

TL;DR

This paper derives an analytical distribution for the curvaton-induced curvature perturbation during inflation using stochastic formalism, analyzing parameter space to assess its contribution to observed cosmological perturbations.

Contribution

It provides a closed-form analytical distribution of the curvaton perturbation, linking stochastic inflation formalism with curvaton phenomenology.

Findings

Analytical distribution of curvature perturbation derived

Probability analysis of curvaton contribution in parameter space

Insights into curvaton decay rate and mass effects

Abstract

The curvaton paradigm can realise a part of or all the observed curvature perturbation. Based on the stochastic formalism of inflation and closed-form exact distributions therein, the distribution of the curvature perturbation is presented in an analytical manner by identifying a test field with a curvaton. The parameter space consisting of the decay rate and the mass of the curvaton is studied to discuss the probability that the curvaton can contribute to the curvature perturbation in a non-negligible way.