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What Causes the Scatter in the Black Hole Mass vs. Velocity Dispersion Relation for AGNs?

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What Causes the Scatter in the Black Hole Mass vs. Velocity Dispersion Relation for AGNs?

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This dataset allows us to reproduce the black hole mass vs. velocity dispersion relation, using the H\beta width and optical luminosity to derive the black hole mass, and using the [O III] \lambda5007 width as a surrogate for the stellar velocity dispersion. While the fit to this relationship is quite similar to that for non-active galaxies, there is a large scatter, exceeding observational errors. An analysis of this scatter in terms of the measured emission lines shows that the QSOs that have [O III] too wide for their calculated black hole mass tend to have higher luminosity, narrower H\beta, and come from the strong Fe II/weak [O III] end of the E1 sequence. Possible explanations of this include simple models in which some of the characteristics are determined by orientation.

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