Does the lockstep growth between black holes and bulges create their mass relation?

TL;DR

This study investigates the coevolution of black holes and bulges in galaxies by analyzing gas depletion and growth timescales, suggesting lockstep growth maintains their mass relation rather than creating it.

Contribution

It provides new observational evidence linking gas depletion timescales to black hole and bulge growth, highlighting the role of lockstep growth in maintaining their mass relation.

Findings

Gas depletion timescales are shorter than bulge/black hole growth timescales.

Cold gas will be depleted before significant bulge/black hole growth occurs.

Lockstep growth maintains, but does not create, the black hole-bulge mass relation.

Abstract

Recent studies have revealed a strong relation between sample-averaged black-hole (BH) accretion rate (BHAR) and star formation rate (SFR) among bulge-dominated galaxies, i.e., "lockstep" BH-bulge growth, in the distant universe. This relation might be closely related to the BH-bulge mass correlation observed in the local universe. To understand further BH-bulge coevolution, we present ALMA CO(2-1) or CO(3-2) observations of 7 star-forming bulge-dominated galaxies at z=0.5-2.5. Using the ALMA data, we detect significant ($>3\sigma$) CO emission from 4 objects. For our sample of 7 galaxies, we measure (or constrain with upper limits) their CO line fluxes and estimate molecular gas masses ($M_{gas}$). We also estimate their stellar masses ($M_{star}$) and SFRs by modelling their spectral energy distributions (SEDs). Using these physical properties, we derive the gas-depletion timescales ($t_{dep} = M_{gas}/SFR$) and compare them with the bulge/BH growth timescales ($t_{grow} = M_{star}/SFR \sim M_{BH}/BHAR$). Our sample generally has $t_{dep}$ shorter than $t_{grow}$ by a median factor of $\gtrsim 4$, indicating that the cold gas will be depleted before significant bulge/BH growth takes place. This result suggests that the BH-bulge lockstep growth is mainly responsible for maintaining their mass relation, not creating it. We note that our sample is small and limited to $z<2.5$; JWST and ALMA will be able to probe to higher redshifts in the near future.