Effects of biasing on the galaxy power spectrum at large scales

TL;DR

This paper investigates how biasing influences the galaxy power spectrum at large scales, demonstrating that linear biasing can persist despite non-linear effects and discussing implications for baryon acoustic oscillations.

Contribution

It provides a detailed analysis of biasing effects on the galaxy power spectrum, including the persistence of linear biasing and the impact on baryon acoustic oscillations.

Findings

Non-linear biasing introduces white noise at large scales.

Linear biasing persists on small scales under Kaiser biasing.

Biasing affects the visibility of baryon acoustic oscillations.

Abstract

n this paper we study the effect of biasing on the power spectrum at large scales. We show that even though non-linear biasing does introduce a white noise contribution on large scales, the $P(k)\propto k^n$ behavior of the matter power spectrum on large scales may still be visible and above the white noise for about one decade. We show, that the Kaiser biasing scheme which leads to linear bias of the correlation function on {\em large} scales, also generates a linear bias of the {\rm power spectrum} on rather small scales. This is a consequence of the divergence on small scales of the pure Harrison-Zeldovich spectrum. However, biasing becomes k-dependent when we damp the underlying power spectrum on small scales. We also discuss the effect of biasing on the baryon acoustic oscillations.