The $M_\bullet$-$\sigma_e$ relation for local type 1 AGNs and quasars

TL;DR

This study investigates the black hole mass and stellar velocity dispersion relation in local type 1 AGNs, finding that many have undermassive black holes relative to their host galaxy bulges, with implications for galaxy evolution models.

Contribution

The paper presents new measurements of stellar velocity dispersions in local type 1 AGN hosts and introduces a novel aperture correction method to estimate bulge velocity dispersion.

Findings

AGNs with $M_ullet \,< 10^8 M_\\odot$ show no difference from inactive galaxies in the $M_ullet - \\sigma_e$ relation when considering bulge type.

Many local type 1 AGNs have undermassive black holes compared to their bulge properties.

No correlation found between offset from the $M_ullet - \\sigma_e$ relation and Eddington ratio for lower mass black holes.

Abstract

We analyzed MUSE observations of 42 local $z<0.1$ type 1 active galactic nucleus (AGN) host galaxies taken from the Palomar-Green quasar sample and the close AGN reference survey. Our goal was to study the relation between the black hole mass ($M_\bullet$) and bulge stellar velocity dispersion ($\sigma_e$) for type 1 active galaxies. The sample spans black hole masses of $10^{6.0}-10^{9.2}\,M_\odot$, bolometric luminosities of $10^{42.9}-10^{46.0}\,$erg$\,$s$^{-1}$, and Eddington ratios of 0.006-1.2. We avoided AGN emission by extracting the spectra over annular apertures. We modeled the calcium triplet stellar features and measured stellar velocity dispersions of $\sigma_* = 60-230\,$km$\,$s$^{-1}$ for the host galaxies. We find $\sigma_*$ values in agreement with previous measurements for local AGN host galaxies, but slightly lower compared with those reported for nearby X-ray-selected type 2 quasars. Using a novel annular aperture correction recipe to estimate $\sigma_e$ from $\sigma_*$ that considers the bulge morphology and observation beam-smearing, we estimate flux-weighted $\sigma_e = 60-250\,$km$\,$s$^{-1}$. If we consider the bulge type when estimating $M_\bullet$, we find no statistical difference between the distributions of AGN hosts and the inactive galaxies on the $M_\bullet - \sigma_e$ plane for $M_\bullet \lesssim 10^8\,M_\odot$. Conversely, if we do not consider the bulge type when computing $M_\bullet$, we find that both distributions disagree. We find no correlation between the degree of offset from the $M_\bullet - \sigma_e$ relation and Eddington ratio for $M_\bullet \lesssim 10^8\,M_\odot$. The current statistics preclude firm conclusions from being drawn for the high-mass range. We argue these observations support notions that a significant fraction of the local type 1 AGNs and quasars have undermassive black holes compared with their host galaxy bulge properties.