How to suppress the shot noise in galaxy surveys

TL;DR

This paper proposes a novel weighting scheme for galaxies in surveys that significantly reduces shot noise, enhancing the extraction of cosmological information from galaxy clustering data.

Contribution

It introduces a method to suppress galaxy shot noise by weighting galaxies according to halo mass, based on N-body simulations, surpassing traditional inverse density weighting.

Findings

Shot noise can be reduced by 10-30 times at high galaxy densities.

Up to a tenfold reduction in shot noise relative to uniform weighting at lower densities.

Results enable improved cosmological measurements and survey designs.

Abstract

Galaxy surveys are one of the most powerful means to extract the cosmological information and for a given volume the attainable precision is determined by the galaxy shot noise sigma_n^2 relative to the power spectrum P. It is generally assumed that shot noise is white and given by the inverse of the number density n. In this paper we argue one may be able to considerably improve upon this: in the halo picture of cosmological structure all of the dark matter is in halos of varying mass and galaxies are formed inside these halos, but for the dark matter mass and momentum conservation guarantee that nonlinear effects cannot develop a white noise in the dark matter power spectrum on large scales. This suggests that with a suitable weighting a similar effect may be achieved for galaxies, suppressing their shot noise. We explore this idea with N-body simulations by weighting central halo galaxies by halo mass and find that the resulting shot noise can be reduced dramatically relative to expectations, with a 10-30 suppression at the highest number density of n=4*10^-3 (Mpc/h)^3 resolved in our simulations. For specific applications other weighting schemes may achieve even better results and for n=3*10^-4(Mpc/h)^3 we can reduce sigma_n^2/P by up to a factor of 10 relative to uniform weighting. These results open up new opportunities to extract cosmological information in galaxy surveys, such as the recently proposed multi-tracer approach to cancel sampling variance, and may have important consequences for the planning of future redshift surveys. Taking full advantage of these findings may require better understanding of galaxy formation process to develop accurate tracers of the halo mass.