Extensions to models of the galaxy-halo connection
Boryana Hadzhiyska, Sownak Bose, Daniel Eisenstein, Lars Hernquist

TL;DR
This paper compares empirical galaxy-halo connection models with hydrodynamical simulations, revealing their limitations and proposing enhancements to better match observed galaxy clustering and properties.
Contribution
It evaluates and improves SHAM and HOD models by incorporating secondary parameters and analyzing their performance against IllustrisTNG simulation data.
Findings
SHAM models with $V_{relax}$ and $V_{peak}$ perform best among tested variants.
Both models struggle to accurately reproduce one-halo clustering.
Hydrodynamical effects cause subhalos to have lower SHAM-proxy properties in full-physics simulations.
Abstract
We explore two widely used empirical models for the galaxy-halo connection, subhalo abundance matching (SHAM) and the halo occupation distribution (HOD) and compare their predictions with the hydrodynamical simulation IllustrisTNG (TNG) for a range of statistics that quantify the galaxy distribution at . We observe that in their most straightforward implementations, both models fail to reproduce the two-point clustering measured in TNG. We find that SHAM models constructed using the relaxation velocity, , and the peak velocity, , perform best, and match the clustering reasonably well, although neither model captures adequately the one-halo clustering. Splitting the total sample into sub-populations, we discover that SHAM overpredicts the clustering of high-mass, blue, star-forming, and late-forming…
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