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Published October 1, 2012 | Published
Journal Article Open

Optical-to-virial velocity ratios of local disc galaxies from combined kinematics and galaxy–galaxy lensing

Abstract

In this paper, we measure the optical-to-virial velocity ratios V_(opt)/V_(200c) of disc galaxies in the Sloan Digital Sky Survey (SDSS) at a mean redshift of 〈z〉 = 0.07 and with stellar masses 10^9 < M* < 10^(11) M_⊙. V_(opt)/V_(200c), the ratio of the circular velocity measured at the optical radius of the disc (∼10 kpc) to that at the virial radius of the dark matter halo (∼150 kpc), is a powerful observational constraint on disc galaxy formation. It links galaxies to their dark matter haloes dynamically and constrains the total mass profile of disc galaxies over an order of magnitude in length scale. For this measurement, we combine Vopt derived from the Tully–Fisher relation (TFR) from Reyes et al. with V200c derived from halo masses measured with galaxy–galaxy lensing. In anticipation of this combination, we use similarly selected galaxy samples for both the TFR and lensing analysis. For three M* bins with lensing-weighted mean stellar masses of 0.6, 2.7 and 6.5 × 10^(10) M_⊙, we find halo-to-stellar mass ratios M_(200c)/M_* = 41, 23 and 26, with 1σ statistical uncertainties of around 0.1 dex, and V_(opt)/V_(200c) = 1.27 ± 0.08, 1.39 ± 0.06 and 1.27 ± 0.08 (1σ), respectively. Our results suggest that the dark matter and baryonic contributions to the mass within the optical radius are comparable, if the dark matter halo profile has not been significantly modified by baryons. The results obtained in this work will serve as inputs to and constraints on disc galaxy formation models, which will be explored in future work. Finally, we note that this paper presents a new and improved galaxy shape catalogue for weak lensing that covers the full SDSS Data Release 7 footprint.

Additional Information

© 2012 The Authors. Monthly Notices of the Royal Astronomical Society © 2012 RAS. Accepted 2012 June 7. Received 2012 June 7; in original form 2011 October 17. We thank Michael Strauss, David Weinberg and David Spergel for their comments on this work. CMH is supported by the US Department of Energy under contract DE-FG03-02-ER40701 and the David & Lucile Packard Foundation. Funding for the SDSS and SDSS-II has been provided by the Alfred P. Sloan Foundation, the Participating Institutions, the National Science Foundation, the US Department of Energy, the National Aeronautics and Space Administration, the Japanese Monbukagakusho, the Max Planck Society and the Higher Education Funding Council for England. The SDSS is managed by the Astrophysical Research Consortium for the Participating Institutions. The Participating Institutions are the American Museum of Natural History, Astrophysical Institute Potsdam, University of Basel, Cambridge University, Case Western Reserve University, University of Chicago, Drexel University, Fermilab, the Institute for Advanced Study, the Japan Participation Group, Johns Hopkins University, the Joint Institute for Nuclear Astrophysics, the Kavli Institute for Particle Astrophysics and Cosmology, the Korean Scientist Group, the Chinese Academy of Sciences (LAMOST), Los Alamos National Laboratory, the Max-Planck-Institute for Astronomy (MPIA), the Max-Planck-Institute for Astrophysics (MPA), New Mexico State University, Ohio State University, University of Pittsburgh, University of Portsmouth, Princeton University, the United States Naval Observatory and the University of Washington.

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