High-$z$ Universe probed via Lensing by QSOs (HULQ) I. Number Estimates of QSO-QSO and QSO-Galaxy Lenses

Abstract

It is unclear how galaxies and their central supermassive black holes (SMBHs) co-evolve across cosmic time, especially for the non-local universe ($z\gtrsim 0.5$). The High-$z$ Universe probed via Lensing by QSOs (HULQ) project proposes to utilize quasi-stellar object (QSO) host galaxies acting as gravitational lenses (QSO lenses) to investigate this topic. This paper focuses on the feasibility of this project, i.e., whether sufficiently large numbers of QSO lenses are expected to be found in various concurrent and future imaging surveys. We find that $\sim 440$ QSO lenses will reside in the Hyper Suprime-Cam Wide survey (HSC/Wide), which is expected to be the most prolific concurrent survey, with this number being boosted by one to two orders of magnitude (to $\sim 10000$) with upcoming surveys such as that conducted with the Large Synoptic Survey Telescope (LSST). We discuss several methods of how to study the redshift evolution of the $M_{\mathrm{BH}}-{\sigma }_{\ast }$ relation, which is a stand-out illustration of the co-evolution. In addition, we demonstrate how the intimacy of lensed images to the bright deflector QSO for most systems will affect the \textit{detectability} of QSO lenses. We estimate that only $\sim 82$ and $900$ will be detectable for HSC/Wide and LSST, respectively; the decrease is significant yet still yields an acceptable sample for the main objective. This decrease will be less of a problem for space-based imaging surveys, for their small point spread function FWHMs will allow detections of lensed images lying relatively close to the deflector QSO, and thus unveil the less massive yet more numerous QSO hosts.

47 pages, 21 figures, 3 tables; accepted for publication in ApJ

References in corpus (22)

• The 2.5 m Telescope of the Sloan Digital Sky Survey
• A Catalog of Quasar Properties from SDSS DR7
• The Sloan Digital Sky Survey Quasar Catalog: twelfth data release
• The Pan-STARRS1 distant z>5.6 quasar survey: more than 100 quasars within the first Gyr of the universe
• The Final SDSS High-Redshift Quasar Sample of 52 Quasars at z>5.7
• The fourth data release of the Kilo-Degree Survey: ugri imaging and nine-band optical-IR photometry over 1000 square degrees
• How Mergers May Affect The Mass Scaling Relations Between Black Holes, Galaxies, and Other Gravitationally Bound Systems
• The Sloan Digital Sky Survey Reverberation Mapping Project: Technical Overview
• Cosmic Evolution of Black Holes and Spheroids. I: The M_BH-sigma Relation at z=0.36
• Cosmic Evolution of Black Holes and Spheroids. III. The M-sigma relation in the last six billion years
• Cosmic Evolution of Black Holes and Spheroids. II: Scaling Relations at z=0.36
• The Sloan Digital Sky Survey Reverberation Mapping Project: No Evidence for Evolution in the M-sigma Relation to z~1
• Rest-frame Optical Spectra and Black Hole Masses of 3<z<6 Quasars
• A Search for the Most Massive Galaxies. II. Structure, Environment and Formation
• The AKARI 2.5-5.0 Micron Spectral Atlas of Type-1 Active Galactic Nuclei: Black Hole Mass Estimator, Line Ratio, and Hot Dust Temperature
• Lensing Probabilities for Spectroscopically Selected Galaxy-Galaxy Strong Lenses
• Stronger Constraints on the Evolution of the $M_{\mathrm{BH}}-{\sigma }_{\ast }$ Relation up to $z\sim 0.6$
• Lyman-Break Galaxies at $z\sim 3$ in the Subaru Deep Field: Luminosity Function, Clustering and [OIII] Emission
• 4MOST Consortium Survey 6: Active Galactic Nuclei
• The Infrared Medium-deep Survey. \Romannum{7}. Faint Quasars at $z\sim 5$ in the ELAIS-N1 Field
• The Infrared Medium-deep Survey. III. Survey of Luminous Quasars at 4.7 $\le$ z $\le$ 5.4
• First case of strong gravitational lensing by a QSO : SDSS J0013+1523 at z = 0.120

Cited by in corpus (5)

• GECKO Optical Follow-up Observation of Three Binary Black Hole Merger Events: GW190408_181802, GW190412, and GW190503_185404
• Strong Lensed QSOs with Variability Detectable by LSST: How many are there?
• Strong gravitational lensing by AGNs as a probe of the quasar-host relations in the distant Universe
• Confirming HSC strong lens candidates with DESI Spectroscopy. I. Project overview and first results
• High-$z$ Universe probed via Lensing by QSOs (HULQ) II. Deep GMOS spectroscopy of a QSO lens candidate