Tracking the assembly of supermassive black holes: a comparison of diverse models across cosmic time

Abstract

Galaxies grow alongside their central supermassive black holes (SMBHs), linked through fueling and feedback. However, the origins and details of this co-evolution remain unclear and differ significantly amongst modeling frameworks. Using a suite of semi-analytic models (SAMs), we trace SMBH mass assembly across $M_{\rm BH} \sim 10^{6-10}, \mathrm{M}_{\odot}$. We find significant discrepancies between observations and physics-based models of the local black hole mass function (BHMF), likely due to differences in the underlying stellar mass function and the scaling relations therefrom used to infer the BHMF. However, most physics-based models agree at $z \sim 1-4$ and align reasonably well with broad-line AGN BHMF from JWST observations at $z=4-5$. Most physics-based models reproduce the bolometric AGN luminosity evolution, except {\sc Dark Sage}, which predicts an excess deviating from models and observations. Interestingly, this pronounced ``knee' in the bolometric AGN luminosity function predicted by {\sc Dark Sage} around $L_{\rm bol} \sim 10^{46} \, \mathrm{erg \, s^{-1}}$ is consistent with the inferred luminosity of ``Little Red Dots'' at $z=5-6$, assuming that their entire emission originates from AGN activity. We analyze black hole mass build-up and accretion histories in {\sc Dark Sage}, which, unlike other models, allows for super-Eddington accretion. We report that on average, SMBHs in {\sc Dark Sage} primarily grow through secular disk instabilities and merger-driven cold gas accretion, while black hole mergers contribute 60\% of the total mass budget only for the most massive SMBHs by $z=0$.