Scale dependent bias from primordial non-Gaussianity with trispectrum

TL;DR

This paper derives an analytic expression for the scale-dependent bias in the halo power spectrum caused by primordial non-Gaussianity, incorporating trispectrum effects, and explores how it can probe the relationship between non-linearity parameters.

Contribution

It provides the first analytic formula for halo bias including trispectrum contributions, enabling new tests of primordial non-Gaussianity.

Findings

Analytic expression for halo bias with trispectrum included

Potential to probe the relation between $nl$ and $ nl$

Enhanced understanding of scale-dependent bias effects

Abstract

We study the scale dependent bias of the halo power spectrum arising from primordial non-Gaussianity. We present an analytic result of the halo bias including up to the trispectrum contributions. We find the scale dependent bias opens a new possibility of probing the relation between the non-linearity parameters $\fnl$ and $\tnl$.