# Black hole scaling relations of active and quiescent galaxies: Addressing selection effects and constraining virial factors

## TL;DR

This paper investigates the biases in black hole scaling relations caused by selection effects in local galaxy samples and constrains the virial factor to reconcile active and quiescent galaxy observations.

## Contribution

It demonstrates that accounting for selection effects and adjusting the virial factor fvir aligns active galaxy black hole relations with intrinsic quiescent galaxy relations.

## Key findings

- Selection effects bias quiescent galaxy black hole relations.
- A virial factor of ~3.5 aligns AGN and quiescent relations.
- Velocity dispersion primarily drives the Mbh-Mstar relation.

## Abstract

Local samples of quiescent galaxies with dynamically measured black hole masses (Mbh) may suffer from an angular resolution-related selection effect, which could bias the observed scaling relations between Mbh and host galaxy properties away from the intrinsic relations. In particular, previous work has shown that the observed Mbh-Mstar (stellar mass) relation is more strongly biased than the Mbh-sigma (velocity dispersion) relation. Local samples of active galactic nuclei (AGN) do not suffer from this selection effect, as in these samples Mbh is estimated from megamasers and/or reverberation mapping-based techniques. With the exception of megamasers, Mbh-estimates in these AGN samples are proportional to a virial coefficient fvir. Direct modelling of the broad line region suggests that fvir~3.5. However, this results in a Mbh-Mstar relation for AGN which lies below and is steeper than the one observed for quiescent black hole samples. A similar though milder trend is seen for the Mbh-sigma relation. Matching the high-mass end of the Mbh-Mstar and Mbh-sigma relations observed in quiescent samples requires fvir~15 and fvir~7, respectively. On the other hand, fvir~3.5 yields Mbh-sigma and Mbh-Mstar relations for AGN which are remarkably consistent with the expected `intrinsic' correlations for quiescent samples (i.e., once account has been made of the angular resolution-related selection effect), providing additional evidence that the sample of local quiescent black holes is biased. We also show that, as is the case for quiescent black holes, the Mbh-Mstar scaling relation of AGN is driven by velocity dispersion, thus providing additional key constraints to black hole-galaxy co-evolution models.