WISDOM project -- VI. Exploring the relation between supermassive black hole mass and galaxy rotation with molecular gas

TL;DR

This study explores the relationship between supermassive black hole masses and galaxy rotation velocities using CO emission line widths, proposing a new method that yields a correlation comparable to existing SMBH-galaxy property relations.

Contribution

The paper introduces the use of de-projected CO emission line widths as a novel tracer for galaxy rotation velocity in SMBH mass correlation studies.

Findings

Found a tight correlation between CO line widths and SMBH masses with a scatter of 0.6 dex.

Demonstrated the correlation's consistency with stellar velocity dispersions.

Applied the relation to estimate the local SMBH mass function.

Abstract

Empirical correlations between the masses of supermassive black holes (SMBHs) and properties of their host galaxies are well-established. Among these is the correlation with the flat rotation velocity of each galaxy measured either at a large radius in its rotation curve or via a spatially-integrated emission line width. We propose here the use of the de-projected integrated CO emission line width as an alternative tracer of this rotation velocity, that has already been shown useful for the Tully-Fisher (luminosity-rotation velocity) relation. We investigate the correlation between CO line widths and SMBH masses for two samples of galaxies with dynamical SMBH mass measurements, with respectively spatially-resolved and unresolved CO observations. The tightest correlation is found using the resolved sample of 24 galaxies as $\log (M_\mathrm{BH}/\mathrm{M_\odot})=(7.5\pm0.1)+(8.5\pm0.9)[\log(W_\mathrm{50}/\sin i \,\mathrm{km\,s}^{-1})-2.7]$, where $M_\mathrm{BH}$ is the central SMBH mass, $W_{50}$ the full-width at half-maximum of a double-horned emission line profile, and $i$ the inclination of the CO disc. This relation has a total scatter of $0.6\,$dex, comparable to those of other SMBH mass correlations, and dominated by the intrinsic scatter of $0.5\,$dex. A tight correlation is also found between the de-projected CO line widths and the stellar velocity dispersions averaged within one effective radius. We apply our correlation to the COLD GASS sample to estimate the local SMBH mass function.