Cross-correlation of galaxies and galaxy clusters in the Sloan Digital Sky Survey and the importance of non-Poissonian shot noise

TL;DR

This paper measures the cross-correlation between galaxies and galaxy clusters in SDSS, highlighting the necessity of modeling non-Poissonian shot noise for accurate bias and correlation estimates, which aids cosmological studies.

Contribution

It introduces a model for non-Poissonian shot noise in galaxy and cluster correlations and provides new measurements of effective biases in SDSS data.

Findings

Non-Poissonian shot noise is essential for accurate correlation modeling.

Measured biases: $b_{cc}=4.09 \, ext{and}\, b_{gc}=2.15$.

Results align with previous studies and improve cosmological analysis tools.

Abstract

We present measurements of angular cross power spectra between galaxies and optically-selected galaxy clusters in the final photometric sample of the Sloan Digital Sky Survey (SDSS). We measure the auto- and cross-correlations between galaxy and cluster samples, from which we extract the effective biases and study the shot noise properties. We model the non-Poissonian shot noise by introducing an effective number density of tracers and fit for this quantity. We find that we can only describe the cross-correlation of galaxies and galaxy clusters, as well as the auto-correlation of galaxy clusters, on the relevant scales using a non-Poissonian shot noise contribution. The values of effective bias we finally measure for a volume-limited sample are $b_{cc}=4.09 \pm 0.47$ for the cluster auto-correlation and $b_{gc}=2.15 \pm 0.09$ for the galaxy-cluster cross-correlation. We find that these results are consistent with expectations from the auto-correlations of galaxies and clusters and are in good agreement with previous studies. The main result is two-fold: firstly we provide a measurement of the cross-correlation of galaxies and clusters, which can be used for further cosmological analysis, and secondly we describe an effective treatment of the shot noise.