The large-scale clustering of massive dark matter haloes

TL;DR

This paper discusses theoretical predictions for the clustering and bias of massive dark matter haloes based on the peak model, highlighting scale-dependent effects and their observational implications.

Contribution

It presents recent theoretical results on halo clustering and bias evolution, emphasizing the peak model's predictions and their consistency with measurements.

Findings

Peak model predictions align qualitatively with halo bias measurements.

Halo bias shows dependence on halo mass at fixed peak height.

Scale-dependent bias across the baryon acoustic feature is predicted at 5-10% level.

Abstract

The statistics of peaks of the initial, Gaussian density field can be used to interpret the abundance and clustering of massive dark matter haloes. I discuss some recent theoretical results related to their clustering and its redshift evolution. Predictions from the peak model are qualitatively consistent with measurements of the linear bias of high mass haloes, which also show some evidence for a dependence on the halo mass M at fixed peak height. The peak approach also predicts a distinctive scale-dependence in the bias of haloes across the baryon acoustic feature, a measurement of which would provide strong support for its validity. For 2-sigma density peaks collapsing at z=0.3, this residual scale-dependent bias is at the 5-10 percent level and should thus be within reach of very large simulations of structure formation.