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A&A 456, 75-90 (2006)
DOI: 10.1051/0004-6361:20064878
Systematic effects in measurement of black hole masses by emission-line reverberation of active galactic nuclei: Eddington ratio and inclination
S. Collin1, T. Kawaguchi2, B. M. Peterson3 and M. Vestergaard41 LUTH, Observatoire de Paris, Section de Meudon, 92195 Meudon Cedex, France
e-mail: suzy.collin@obspm.fr
2 Optical and Infrared Division, NAOJ, Mitaka, Tokyo 181-8588, Japan
3 Department of Astronomy, The Ohio State University, 140 West 18th Avenue, Columbus, OH 43210, USA
4 Steward Observatory, University of Arizona, 933 N. Cherry Avenue, Tucson, AZ 85721, USA
(Received 18 January 2006 / Accepted 24 March 2006)
Abstract
Context.Scatter around the relationship between central black hole masses in active galactic nuclei (AGNs) obtained by reverberation-mapping methods and
host-galaxy bulge velocity dispersion indicates that the
masses are uncertain typically by a factor of about three.
Aims.In this paper, we try to identify the sources and systematics of this uncertainty.
Methods.We characterize the broad H
emission-line profiles by the ratio of their full-width at half maximum (FWHM) to their line dispersion, i.e., the second moment of the
line profile. We use this parameter to separate the reverberation-mapped AGNs into two populations,
the first with narrower H
lines that tend to have relatively extended wings, and the second
with broader lines that are relatively flat-topped. The first population is characterized by
higher Eddington ratios than the second. Within
each population, we calibrate the black-hole mass scale
by comparison of the reverberation-based mass with
that predicted by the bulge velocity dispersion.
We also use the distribution of ratios of the
reverberation-based mass to the velocity-dispersion mass
prediction in a comparison with a "generalized thick disk" model in order to see if inclination
can plausibly account for the observed distribution.
Results.We find that the line dispersion is a less biased
parameter in general than FWHM for black hole mass estimation, although
we show that it is possible to empirically correct for
the bias introduced by using FWHM to characterize the
emission-line width. We also argue that inclination effects are apparent only
in some small subset of the reverberation-based
mass measurements; it is primarily the objects with the
narrowest emission lines that seem to be most strongly affected.
Conclusions.Our principal conclusion is that the H
profile is sensitive primarily to Eddington ratio, but that inclination effects play a role in some cases.
Key words: galaxies: quasars: general -- galaxies: nuclei -- galaxies: Seyfert
© ESO 2006
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