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The Sloan Digital Sky Survey Reverberation Mapping Project: The Black Hole Mass$-$Stellar Mass Relations at $0.2z0.8$

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(2023)cite arxiv:2301.04177Comment: 23 pages, 10 figures (Fig 9 is the key figure). Submitted to ApJ. The full figure set and ancillary data products can be found at ftp://quasar.astro.illinois.edu/public/sdssrm/paper_data/Li_2023_HST_host.

Abstract

We measure the correlation between black-hole mass $M_BH$ and host stellar mass $M_*$ for a sample of 38 broad-line quasars at $0.2łesssim z0.8$ (median redshift $z_med=0.5$). The black-hole masses are derived from a dedicated reverberation mapping program for distant quasars, and the stellar masses are estimated from two-band optical+IR HST imaging. Most of these quasars are well centered within $1$kpc from the host galaxy centroid, with only a few cases in merging/disturbed systems showing larger spatial offsets. Our sample spans two orders of magnitude in stellar mass ($10^9-10^11\,M_ødot$) and black-hole mass ($10^7-10^9\,M_ødot$), and reveals a significant correlation between the two quantities. We find a best-fit intrinsic (i.e., selection effects corrected) $M_BH-M_\rm *,host$ relation of $(M_BH/M_ødot)=7.01_-0.33^+0.23 + 1.74_-0.64^+0.64(M_*,host/10^10M_ødot)$, with an intrinsic scatter of $0.47_-0.17^+0.24$dex. Decomposing our quasar hosts into bulges and disks, there is a similar $M_BH-M_*,bulge$ relation with a slightly larger scatter, likely caused by systematic uncertainties in the bulge-disk decomposition. The $M_BH-M_*,host$ relation at $z_med=0.5$ is similar to that in local quiescent galaxies, with negligible evolution over the redshift range probed by our sample. With direct black-hole masses from reverberation mapping and a large dynamical range of the sample, selection biases do not appear to affect our conclusions significantly. Our results, along with other samples in the literature, suggest that the locally-measured black-hole mass$-$host stellar mass relation is already in place at $z1$.

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