# The Galaxy-Halo Connection Over The Last 13.3 Gyrs

## TL;DR

This paper derives the galaxy-halo connection over 13.3 billion years, revealing how galaxy quenching, growth, and structure relate to halo properties and cosmic evolution, based on extensive observational data and theoretical modeling.

## Contribution

It provides new, comprehensive determinations of the stellar-to-halo mass relation from redshift 0 to 10, integrating multiple observational studies and correcting for biases to understand galaxy evolution.

## Key findings

- Halo mass for quenching increases with redshift.
- sSFR/sMAR peaks at a specific halo mass.
- Galaxies grow inside out, with size changes linked to quenching.

## Abstract

We present new determinations of the stellar-to-halo mass relation (SHMR) at $z=0-10$ that match the evolution of the galaxy stellar mass function, the SFR$-M_*$ relation,and the cosmic star formation rate. We utilize a compilation of 40 observational studies from the literature and correct them for potential biases. Using our robust determinations of halo mass assembly and the SHMR, we infer star formation histories, merger rates, and structural properties for average galaxies, combining star-forming and quenched galaxies. Our main findings: (1) The halo mass $M_{50}$ above which 50\% of galaxies are quenched coincides with sSFR/sMAR$\sim1$, where sMAR is the specific halo mass accretion rate. (2) $M_{50}$ increases with redshift, presumably due to cold streams being more efficient at high redshift while virial shocks and AGN feedback become more relevant at lower redshifts. (3) The ratio sSFR/sMAR has a peak value, which occurs around $M_{\rm vir}\sim2\times10^{11}M_{\odot}$. (4) The stellar mass density within 1 kpc, $\Sigma_1$, is a good indicator of the galactic global sSFR. (5) Galaxies are statistically quenched after they reach a maximum in $\Sigma_1$, consistent with theoretical expectations of the gas compaction model; this maximum depends on redshift. (6) In-situ star formation is responsible for most galactic stellar mass growth, especially for lower-mass galaxies. (7) Galaxies grow inside out. The marked change in the slope of the size--mass relation when galaxies became quenched, from $d\log R_{\rm eff}/d\log M_*\sim0.35$ to $\sim2.5$, could be the result of dry minor mergers.