The Lick AGN Monitoring Project: The MBH - sigma Relation For Reverberation-Mapped Active Galaxies

TL;DR

This study measures stellar velocity dispersions in active galaxies with reverberation-mapped black hole masses to refine the M-sigma relation and determine the virial coefficient, enhancing black hole mass estimation accuracy.

Contribution

It provides new measurements of velocity dispersions for active galaxies and refines the M-sigma relation and virial coefficient for reverberation-mapped black holes.

Findings

Reverberation-mapped active galaxies follow the M-sigma relation similar to quiescent galaxies.

The slope of the M-sigma relation for active galaxies is approximately 3.55.

The virial coefficient f is estimated to be around 0.72, reducing uncertainties in black hole mass estimates.

Abstract

(Abridged) To investigate the black hole mass (MBH) vs. stellar velocity dispersion relation of active galaxies, we measured the velocity dispersions of a sample of local Seyfert 1 galaxies, for which we have recently determined MBH using reverberation mapping. For most objects, velocity dispersions were measured from high S/N ratio optical spectra centered on the Ca II triplet region (~8500 A), obtained at the Keck, Palomar, and Lick Observatories. For two objects, in which the Ca II triplet region was contaminated by nuclear emission, the measurement was based on high-quality H-band spectra obtained with the OSIRIS at the Keck-II Telescope. Combining our new measurements with data from the literature, we assemble a sample of 24 active galaxies with stellar velocity dispersions and reverberation-based MBH measurements in the range of black hole mass 10^6<MBH/M_sun<10^9. We use this sample to obtain reverberation mapping constraints on the slope and intrinsic scatter of the M-sigma relation of active galaxies. Assuming a constant virial coefficient f for the reverberation mapping black hole masses, we find a slope b=3.55+-0.60 and the intrinsic scatter sigma_int=0.43+-0.08 dex in the relation log (MBH/M_sun) = a + b log (sigma/200 km/s), which are consistent with those found for quiescent galaxies. We derive an updated value of the virial coefficient f by finding the value which places the reverberation masses in best agreement with the M-sigma relation of quiescent galaxies; using the quiescent M-sigma relation determined by Gultekin et al. we find log f=0.72^{+0.09-0.10} with an intrinsic scatter of 0.44+-0.07 dex. The uncertainty of the virial coefficient remains one of the main sources of the uncertainty in black hole mass determinations using reverberation mapping, and therefore also in single-epoch spectroscopic estimates of MBH in active galaxies.