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Title:
The M-σ and M-L Relations in Galactic Bulges, and Determinations of Their Intrinsic Scatter
Authors:
Gültekin, Kayhan; Richstone, Douglas O.; Gebhardt, Karl; Lauer, Tod R.; Tremaine, Scott; Aller, M. C.; Bender, Ralf; Dressler, Alan; Faber, S. M.; Filippenko, Alexei V.; Green, Richard; Ho, Luis C.; Kormendy, John; Magorrian, John; Pinkney, Jason; Siopis, Christos
Affiliation:
AA(Department of Astronomy, University of Michigan, Ann Arbor, MI 48109, USA ), AB(Department of Astronomy, University of Michigan, Ann Arbor, MI 48109, USA ), AC(Department of Astronomy, University of Texas, Austin, TX 78712, USA ), AD(National Optical Astronomy Observatory, Tucson, AZ 85726, USA ), AE(School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, USA ), AF(Department of Physics, Institute of Astronomy, ETH Zurich, CH-8093 Zurich, Switzerland ), AG(Universitäts-Sternwarte München, Ludwig-Maximilians-Universität, Scheinerstr. 1, D-81679 München, Germany ), AH(Observatories of the Carnegie Institution of Washington, Pasadena, CA 91101, USA ), AI(University of California Observatories/Lick Observatory, Board of Studies in Astronomy and Astrophysics, University of California, Santa Cruz, CA 95064, USA ), AJ(Department of Astronomy, University of California, Berkeley, CA 94720-3411, USA ), AK(LBT Observatory, University of Arizona, Tucson, AZ 85721, USA ), AL(Observatories of the Carnegie Institution of Washington, Pasadena, CA 91101, USA ), AM(Department of Astronomy, University of Texas, Austin, TX 78712, USA ), AN(Department of Physics, University of Durham, Durham DH1 3LE, UK ), AO(Department of Physics and Astronomy, Ohio Northern University, Ada, OH 45810, USA ), AP(Institut d'Astronomie et d'Astrophysique, Université Libre de Bruxelles, B-1050 Bruxelles, Belgium)
Publication:
The Astrophysical Journal, Volume 698, Issue 1, pp. 198-221 (2009). (ApJ Homepage)
Publication Date:
06/2009
Origin:
IOP
ApJ Keywords:
black hole physics, galaxies: general, galaxies: nuclei, galaxies: statistics, stellar dynamics
DOI:
10.1088/0004-637X/698/1/198
Bibliographic Code:
2009ApJ...698..198G

Abstract

We derive improved versions of the relations between supermassive black hole mass (M BH) and host-galaxy bulge velocity dispersion (σ) and luminosity (L; the M-σ and M-L relations), based on 49 M BH measurements and 19 upper limits. Particular attention is paid to recovery of the intrinsic scatter (epsilon0) in both relations. We find log(M BH/M sun) = α + βlog(σ/200 km s-1) with (α, β, epsilon0) = (8.12 ± 0.08, 4.24 ± 0.41, 0.44 ± 0.06) for all galaxies and (α, β, epsilon0) = (8.23 ± 0.08, 3.96 ± 0.42, 0.31 ± 0.06) for ellipticals. The results for ellipticals are consistent with previous studies, but the intrinsic scatter recovered for spirals is significantly larger. The scatter inferred reinforces the need for its consideration when calculating local black hole mass function based on the M-σ relation, and further implies that there may be substantial selection bias in studies of the evolution of the M-σ relation. We estimate the M-L relationship as log(M BH/M sun) = α + βlog(LV /1011 L sun,V ) of (α, β, epsilon0) = (8.95 ± 0.11, 1.11 ± 0.18, 0.38 ± 0.09); using only early-type galaxies. These results appear to be insensitive to a wide range of assumptions about the measurement errors and the distribution of intrinsic scatter. We show that culling the sample according to the resolution of the black hole's sphere of influence biases the relations to larger mean masses, larger slopes, and incorrect intrinsic residuals.
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