Scale-dependent bias from the primordial non-Gaussianity with a Gaussian-squared field

Abstract

We investigate the halo bias in the case where the primordial curvature fluctuations, $Φ$, are sourced from both a Gaussian random field and a Gaussian-squared field, as $Φ({\bf x}) = ϕ({\bf x}) + ψ({\bf x})^2 - <ψ({\bf x})^2>$, so-called "ungaussiton model". We employ the peak-background split formula and find a new scale-dependence in the halo bias induced from the Gaussian-squared field.