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

TL;DR

This paper explores how primordial non-Gaussianity, modeled as a combination of Gaussian and squared Gaussian fields, affects the scale-dependent bias of halos, revealing new scale-dependent features.

Contribution

It introduces the 'ungaussiton model' and derives a novel scale dependence in halo bias caused by the Gaussian-squared field component.

Findings

Identifies a new scale dependence in halo bias from the Gaussian-squared field.

Uses peak-background split to analyze the bias.

Suggests implications for primordial non-Gaussianity constraints.

Abstract

We investigate the halo bias in the case where the primordial curvature fluctuations, $\Phi$, are sourced from both a Gaussian random field and a Gaussian-squared field, as $\Phi({\bf x}) = \phi({\bf x}) + \psi({\bf x})^2 - <\psi({\bf x})^2>$, 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.