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, $\Phi$, are sourced from both a Gaussian random field and a Gaussian-squared field, as $\Phi (\mathbf{x})=\varphi (\mathbf{x})+\psi (\mathbf{x}{)}^2-<\psi (\mathbf{x}{)}^2>$, 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.

9 pages, 1 figure, comments are welcome

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• Scale-dependent bias with higher order primordial non-Gaussianity: Use of the Integrated Perturbation Theory
• Application of cross correlations between CMB and large scale structure to constraints on the primordial non-Gaussianity
• Constraining higher-order parameters for primordial non-Gaussianities from power spectra and bispectra of imaging survey
• Scale Dependence of the Halo Bias in General Local-Type Non-Gaussian Models I: Analytical Predictions and Consistency Relations
• Scale-dependent bias due to primordial vector fields
• Higher moments of primordial non-Gaussianity and N-body simulations