Galaxy assembly bias in the stellar-to-halo mass relation for red central galaxies from SDSS

TL;DR

This study provides evidence that galaxy assembly bias influences the stellar-to-halo mass relation for red central galaxies, linking galaxy properties to halo formation history using SDSS data.

Contribution

It demonstrates the presence of galaxy assembly bias in the SHMR and quantifies its relation to halo formation time and galaxy properties at fixed halo mass.

Findings

Galaxy stellar mass correlates with large-scale density within 10 Mpc.

Halo formation time strongly correlates with galaxy stellar mass at fixed halo mass.

Variations in galaxy stellar mass relate to 1-3 Gyr differences in halo formation time.

Abstract

We report evidence of galaxy assembly bias - the correlation between galaxy properties and biased secondary halo properties at fixed halo mass (M$_H$) - in the stellar-to-halo mass relation (SHMR) for red central galaxies from the Sloan Digital Sky Survey. In the M$_H = 10^{11.5}-10^{13.5} h^{-1}$ M$_{\odot}$ range, central galaxy stellar mass (M$_*$) is correlated with the number density of galaxies within $10 h^{-1}$ Mpc ($\delta_{10}$), a common proxy for halo formation time. This galaxy assembly bias signal is also present when M$_H$, M$_*$, and $\delta_{10}$ are substituted with group luminosity, galaxy luminosity, and metrics of the large-scale density field. To associate differences in $\delta_{10}$ with variations in halo formation time, we fitted a model that accounts for (1) errors in the M$_H$ measured by the Tinker 2021, 2022 group catalog and (2) the level of correlation between halo formation time and M$_*$ at fixed M$_H$. Fitting of this model yields that (1) errors in M$_H$ are 0.15 dex and (2) halo formation time and M$_*$ are strongly correlated (Spearman's rank correlation coefficient ~0.85). At fixed M$_H$, variations of ~0.4 dex in M$_*$ are associated with ~1-3 Gyr variations in halo formation time and in galaxy formation time (from stellar population fitting; Oyarz\'un et al. 2022). These results are indicative that halo properties other than M$_H$ can impact central galaxy assembly.