$g_{\mathrm{NL}}$ in the curvaton model constrained by PLANCK

Abstract

As a simplest extension to the mass-term curvaton model, the curvaton model with a polynomial potential can relax the restricted constraint from PLANCK due to the non-linear dynamics of curvaton field before it decays. We find that there is still a big room for producing a large negative $g_{\mathrm{NL}}$, but not positive $g_{\mathrm{NL}}$. For example, we only need around 10% "tuning" for $-g_{\mathrm{NL}}>10^4$.

Comments: 9 pages, 3 figures; refs added, version accepted for publication in JCAP