The Halo Mass of Optically Luminous Quasars at z ≈ 1–2 Measured via Gravitational Deflection of the Cosmic Microwave Background
Abstract
We measure the average deflection of cosmic microwave background photons by quasars at $$\langle z\rangle =1.7$$. Our sample is selected from the Sloan Digital Sky Survey to cover the redshift range 0.9 ≤ z ≤ 2.2 with absolute i-band magnitudes of M i ≤ –24 (K-corrected to z = 2). A stack of nearly 200,000 targets reveals an 8σ detection of Planck's estimate of the lensing convergence toward the quasars. We fit the signal with a model comprising a Navarro–Frenk–White density profile and a two-halo term accounting for correlated large-scale structure, which dominates the observed signal. The best-fitting model is described by an average halo mass $${\mathrm{log}}_{10}({M}_{{\rm{h}}}/{h}^{-1}\,{M}_{\odot })=12.6\pm 0.2$$ and linear bias b = 2.7 ± 0.3 at $$\langle z\rangle =1.7$$, in excellent agreement with clustering studies. Here, we also report a hint, at a 90% confidence level, of a correlation between the convergence amplitude and luminosity, indicating that quasars brighter than M i lesssim –26 reside in halos of typical mass $${M}_{{\rm{h}}}\approx {10}^{13}\,{h}^{-1}\,{M}_{\odot }$$, scaling roughly as $${M}_{{\rm{h}}}\propto {L}_{\mathrm{opt}}^{3/4}$$ at $${M}_{i}\lesssim -24$$ mag, in good agreement with physically motivated quasar demography models. Although we acknowledge that this luminosity dependence is a marginal result, the observed M h–L opt relationship could be interpreted as a reflection of the cutoff in the distribution of black hole accretion rates toward high Eddington ratios: the weak trend of M h with L opt observed at low luminosity becomes stronger for the most powerful quasars, which tend to be accreting close to the Eddington limit.
- Authors:
-
- Univ. of Hertfordshire, Hatfield (United Kingdom)
- Univ. of Edinburgh (United Kingdom)
- Univ. of Wyoming, Laramie, WY (United States)
- Dartmouth College, Hanover, NH (United States)
- Harvard & Smithsonian, Cambridge, MA (United States)
- Publication Date:
- Research Org.:
- Univ. of Wyoming, Laramie, WY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); European Research Council (ERC); National Science Foundation (NSF)
- OSTI Identifier:
- 1597285
- Grant/Contract Number:
- SC0019022; 670193; 1616168; 1515364; 1554584; NNX16AN48G; NNX15AU32
- Resource Type:
- Accepted Manuscript
- Journal Name:
- The Astrophysical Journal (Online)
- Additional Journal Information:
- Journal Name: The Astrophysical Journal (Online); Journal Volume: 874; Journal Issue: 1; Journal ID: ISSN 1538-4357
- Publisher:
- Institute of Physics (IOP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; galaxies: evolution; galaxies: halos; galaxies: high-redshift; large-scale structure of universe; quasars: general
Citation Formats
Geach, J. E., Peacock, J. A., Myers, A. D., Hickox, R. C., Burchard, M. C., and Jones, M. L. The Halo Mass of Optically Luminous Quasars at z ≈ 1–2 Measured via Gravitational Deflection of the Cosmic Microwave Background. United States: N. p., 2019.
Web. doi:10.3847/1538-4357/ab0894.
Geach, J. E., Peacock, J. A., Myers, A. D., Hickox, R. C., Burchard, M. C., & Jones, M. L. The Halo Mass of Optically Luminous Quasars at z ≈ 1–2 Measured via Gravitational Deflection of the Cosmic Microwave Background. United States. https://doi.org/10.3847/1538-4357/ab0894
Geach, J. E., Peacock, J. A., Myers, A. D., Hickox, R. C., Burchard, M. C., and Jones, M. L. Wed .
"The Halo Mass of Optically Luminous Quasars at z ≈ 1–2 Measured via Gravitational Deflection of the Cosmic Microwave Background". United States. https://doi.org/10.3847/1538-4357/ab0894. https://www.osti.gov/servlets/purl/1597285.
@article{osti_1597285,
title = {The Halo Mass of Optically Luminous Quasars at z ≈ 1–2 Measured via Gravitational Deflection of the Cosmic Microwave Background},
author = {Geach, J. E. and Peacock, J. A. and Myers, A. D. and Hickox, R. C. and Burchard, M. C. and Jones, M. L.},
abstractNote = {We measure the average deflection of cosmic microwave background photons by quasars at $\langle z\rangle =1.7$. Our sample is selected from the Sloan Digital Sky Survey to cover the redshift range 0.9 ≤ z ≤ 2.2 with absolute i-band magnitudes of M i ≤ –24 (K-corrected to z = 2). A stack of nearly 200,000 targets reveals an 8σ detection of Planck's estimate of the lensing convergence toward the quasars. We fit the signal with a model comprising a Navarro–Frenk–White density profile and a two-halo term accounting for correlated large-scale structure, which dominates the observed signal. The best-fitting model is described by an average halo mass ${\mathrm{log}}_{10}({M}_{{\rm{h}}}/{h}^{-1}\,{M}_{\odot })=12.6\pm 0.2$ and linear bias b = 2.7 ± 0.3 at $\langle z\rangle =1.7$, in excellent agreement with clustering studies. Here, we also report a hint, at a 90% confidence level, of a correlation between the convergence amplitude and luminosity, indicating that quasars brighter than M i lesssim –26 reside in halos of typical mass ${M}_{{\rm{h}}}\approx {10}^{13}\,{h}^{-1}\,{M}_{\odot }$, scaling roughly as ${M}_{{\rm{h}}}\propto {L}_{\mathrm{opt}}^{3/4}$ at ${M}_{i}\lesssim -24$ mag, in good agreement with physically motivated quasar demography models. Although we acknowledge that this luminosity dependence is a marginal result, the observed M h–L opt relationship could be interpreted as a reflection of the cutoff in the distribution of black hole accretion rates toward high Eddington ratios: the weak trend of M h with L opt observed at low luminosity becomes stronger for the most powerful quasars, which tend to be accreting close to the Eddington limit.},
doi = {10.3847/1538-4357/ab0894},
journal = {The Astrophysical Journal (Online)},
number = 1,
volume = 874,
place = {United States},
year = {Wed Mar 27 00:00:00 EDT 2019},
month = {Wed Mar 27 00:00:00 EDT 2019}
}
Web of Science
Works referenced in this record:
The Baryon Oscillation Spectroscopic Survey of Sdss-Iii
journal, December 2012
- Dawson, Kyle S.; Schlegel, David J.; Ahn, Christopher P.
- The Astronomical Journal, Vol. 145, Issue 1
The FIRST Survey: Faint Images of the Radio Sky at Twenty Centimeters
journal, September 1995
- Becker, Robert H.; White, Richard L.; Helfand, David J.
- The Astrophysical Journal, Vol. 450
The Sdss-Iv Extended Baryon Oscillation Spectroscopic Survey: Overview and Early data
journal, February 2016
- Dawson, Kyle S.; Kneib, Jean-Paul; Percival, Will J.
- The Astronomical Journal, Vol. 151, Issue 2
The Sdss-Iv Extended Baryon Oscillation Spectroscopic Survey: Quasar Target Selection
journal, December 2015
- Myers, Adam D.; Palanque-Delabrouille, Nathalie; Prakash, Abhishek
- The Astrophysical Journal Supplement Series, Vol. 221, Issue 2
The Intrinsic Eddington Ratio Distribution of Active Galactic Nuclei in Star-Forming Galaxies from the Sloan Digital sky Survey
journal, July 2016
- Jones, Mackenzie L.; Hickox, Ryan C.; Black, Christine S.
- The Astrophysical Journal, Vol. 826, Issue 1
A Universal Density Profile from Hierarchical Clustering
journal, December 1997
- Navarro, Julio F.; Frenk, Carlos S.; White, Simon D. M.
- The Astrophysical Journal, Vol. 490, Issue 2
Clustering Analyses of 300,000 Photometrically Classified Quasars. I. Luminosity and Redshift Evolution in Quasar Bias
journal, March 2007
- Myers, Adam D.; Brunner, Robert J.; Nichol, Robert C.
- The Astrophysical Journal, Vol. 658, Issue 1
Large-scale bias and the peak background split
journal, September 1999
- Sheth, Ravi K.; Tormen, Giuseppe
- Monthly Notices of the Royal Astronomical Society, Vol. 308, Issue 1
Cmb Lensing Power Spectrum Biases from Galaxies and Clusters Using High-Angular Resolution Temperature maps
journal, April 2014
- van Engelen, A.; Bhattacharya, S.; Sehgal, N.
- The Astrophysical Journal, Vol. 786, Issue 1
The statistics of peaks of Gaussian random fields
journal, May 1986
- Bardeen, J. M.; Bond, J. R.; Kaiser, N.
- The Astrophysical Journal, Vol. 304
The 2dF QSO Redshift Survey -- I. The optical luminosity function of quasi-stellar objects
journal, October 2000
- Boyle, B. J.; Shanks, T.; Croom, S. M.
- Monthly Notices of the Royal Astronomical Society, Vol. 317, Issue 4
Quasar Clustering from sdss dr5: Dependences on Physical Properties
journal, May 2009
- Shen, Yue; Strauss, Michael A.; Ross, Nicholas P.
- The Astrophysical Journal, Vol. 697, Issue 2
HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere
journal, April 2005
- Gorski, K. M.; Hivon, E.; Banday, A. J.
- The Astrophysical Journal, Vol. 622, Issue 2
Planck intermediate results : XXIII. Galactic plane emission components derived from
journal, July 2015
- Ade, P. A. R.; Aghanim, N.; Alves, M. I. R.
- Astronomy & Astrophysics, Vol. 580
The Atacama Cosmology Telescope: Cross-correlation of cosmic microwave background lensing and quasars
journal, October 2012
- Sherwin, Blake D.; Das, Sudeep; Hajian, Amir
- Physical Review D, Vol. 86, Issue 8
The 2dF QSO Redshift Survey - XIV. Structure and evolution from the two-point correlation function
journal, January 2005
- Croom, Scott M.; Boyle, B. J.; Shanks, T.
- Monthly Notices of the Royal Astronomical Society, Vol. 356, Issue 2
CROSS-CORRELATION OF SDSS DR7 QUASARS AND DR10 BOSS GALAXIES: THE WEAK LUMINOSITY DEPENDENCE OF QUASAR CLUSTERING AT z ∼ 0.5
journal, November 2013
- Shen, Yue; McBride, Cameron K.; White, Martin
- The Astrophysical Journal, Vol. 778, Issue 2
Black hole Variability and the star Formation-Active Galactic Nucleus Connection: do all Star-Forming Galaxies host an Active Galactic Nucleus?
journal, January 2014
- Hickox, Ryan C.; Mullaney, James R.; Alexander, David M.
- The Astrophysical Journal, Vol. 782, Issue 1
Gravitational Lensing of the Microwave Background by Galaxy Clusters
journal, November 2004
- Holder, Gilbert; Kosowsky, Arthur
- The Astrophysical Journal, Vol. 616, Issue 1
Baryonic Features in the Matter Transfer Function
journal, April 1998
- Eisenstein, Daniel J.; Hu, Wayne
- The Astrophysical Journal, Vol. 496, Issue 2
Modelling the evolution of galaxy clustering
journal, May 1999
- Baugh, C. M.; Benson, A. J.; Cole, S.
- Monthly Notices of the Royal Astronomical Society, Vol. 305, Issue 1
COLOSSUS: A Python Toolkit for Cosmology, Large-scale Structure, and Dark Matter Halos
journal, December 2018
- Diemer, Benedikt
- The Astrophysical Journal Supplement Series, Vol. 239, Issue 2
The Large-Scale bias of dark Matter Halos: Numerical Calibration and Model Tests
journal, November 2010
- Tinker, Jeremy L.; Robertson, Brant E.; Kravtsov, Andrey V.
- The Astrophysical Journal, Vol. 724, Issue 2
Planck intermediate results: VI. The dynamical structure of PLCKG214.6+37.0, a Planck discovered triple system of galaxy clusters
journal, February 2013
- Ade, P. A. R.; Aghanim, N.; Arnaud, M.
- Astronomy & Astrophysics, Vol. 550
The characteristic halo masses of half-a-million WISE-selected quasars
journal, May 2017
- DiPompeo, M. A.; Hickox, R. C.; Eftekharzadeh, S.
- Monthly Notices of the Royal Astronomical Society, Vol. 469, Issue 4
Cold dark matter haloes in the Planck era: evolution of structural parameters for Einasto and NFW profiles
journal, May 2014
- Dutton, Aaron A.; Macciò, Andrea V.
- Monthly Notices of the Royal Astronomical Society, Vol. 441, Issue 4
Clustering of intermediate redshift quasars using the final SDSS III-BOSS sample
journal, September 2015
- Eftekharzadeh, Sarah; Myers, Adam D.; White, Martin
- Monthly Notices of the Royal Astronomical Society, Vol. 453, Issue 3
Possible Large-scale Clustering of Quasars
journal, January 1967
- Rees, M. J.; Sciama, D. W.
- Nature, Vol. 213, Issue 5074
Formation of Galaxies and Clusters of Galaxies by Self-Similar Gravitational Condensation
journal, February 1974
- Press, William H.; Schechter, Paul
- The Astrophysical Journal, Vol. 187
An excess of star-forming galaxies in the fields of high-redshift QSOs: Galaxy formation around high-redshift QSOs
journal, April 2010
- Stevens, J. A.; Jarvis, Matt J.; Coppin, K. E. K.
- Monthly Notices of the Royal Astronomical Society
A Measurement of Gravitational Lensing of the Cosmic Microwave Background by Galaxy Clusters Using data from the South pole Telescope
journal, June 2015
- Baxter, E. J.; Keisler, R.; Dodelson, S.
- The Astrophysical Journal, Vol. 806, Issue 2
The Sloan Digital Sky Survey Quasar Survey: Quasar Luminosity Function from Data Release 3
journal, June 2006
- Richards, Gordon T.; Strauss, Michael A.; Fan, Xiaohui
- The Astronomical Journal, Vol. 131, Issue 6
Maximum a posteriori CMB lensing reconstruction
journal, September 2017
- Carron, Julien; Lewis, Antony
- Physical Review D, Vol. 96, Issue 6
Dark matter maps reveal cosmic scaffolding
journal, January 2007
- Massey, Richard; Rhodes, Jason; Ellis, Richard
- Nature, Vol. 445, Issue 7125
Alternatives to the Press–Schechter cosmological mass function
journal, October 1990
- Peacock, J. A.; Heavens, A. F.
- Monthly Notices of the Royal Astronomical Society, Vol. 243, Issue 1
Clustering of quasars in SDSS-IV eBOSS: study of potential systematics and bias determination
journal, July 2017
- Laurent, Pierre; Eftekharzadeh, Sarah; Goff, Jean-Marc Le
- Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 07
The Sloan Digital Sky Survey Quasar Catalog: Fourteenth data release
journal, May 2018
- Pâris, Isabelle; Petitjean, Patrick; Aubourg, Éric
- Astronomy & Astrophysics, Vol. 613
Stochastic Nonlinear Galaxy Biasing
journal, July 1999
- Dekel, Avishai; Lahav, Ofer
- The Astrophysical Journal, Vol. 520, Issue 1
SDSS-III Baryon Oscillation Spectroscopic Survey Data Release 12: galaxy target selection and large-scale structure catalogues
journal, November 2015
- Reid, Beth; Ho, Shirley; Padmanabhan, Nikhil
- Monthly Notices of the Royal Astronomical Society, Vol. 455, Issue 2
Imprint of Reionization on the Cosmic Microwave Background Bispectrum
journal, May 2000
- Cooray, Asantha; Hu, Wayne
- The Astrophysical Journal, Vol. 534, Issue 2
Publisher’s Note: Evidence of Lensing of the Cosmic Microwave Background by Dark Matter Halos [Phys. Rev. Lett. 114 , 151302 (2015)]
journal, May 2015
- Madhavacheril, Mathew; Sehgal, Neelima; Allison, Rupert
- Physical Review Letters, Vol. 114, Issue 18
Clustering of quasars
journal, May 1983
- Shanks, T.; Fong, R.; Green, M. R.
- Monthly Notices of the Royal Astronomical Society, Vol. 203, Issue 1
The simplest model of galaxy formation – I. A formation history model of galaxy stellar mass growth
journal, August 2013
- Mutch, Simon J.; Croton, Darren J.; Poole, Gregory B.
- Monthly Notices of the Royal Astronomical Society, Vol. 435, Issue 3
Detailed cluster lensing profiles at large radii and the impact on cluster weak lensing studies: Detailed cluster lensing profiles
journal, June 2011
- Oguri, Masamune; Hamana, Takashi
- Monthly Notices of the Royal Astronomical Society, Vol. 414, Issue 3
Cluster richness–mass calibration with cosmic microwave background lensing
journal, October 2017
- Geach, James E.; Peacock, John A.
- Nature Astronomy, Vol. 1, Issue 11
Planck intermediate results : XXIV. Constraints on variations in fundamental constants⋆
journal, July 2015
- Ade, P. A. R.; Aghanim, N.; Arnaud, M.
- Astronomy & Astrophysics, Vol. 580
Planck intermediate results: XVII. Emission of dust in the diffuse interstellar medium from the far-infrared to microwave frequencies⋆
journal, June 2014
- Abergel, A.; Ade, P. A. R.; Aghanim, N.
- Astronomy & Astrophysics, Vol. 566
Quasar Clustering from SDSS DR5: Dependences on Physical Properties
text, January 2008
- Shen, Yue; Strauss, Michael A.; Ross, Nicholas P.
- arXiv
The Baryon Oscillation Spectroscopic Survey of SDSS-III
text, January 2012
- Dawson, Kyle S.; Schlegel, David J.; Ahn, Christopher P.
- arXiv
Cross-Correlation of SDSS DR7 Quasars and DR10 BOSS Galaxies: The Weak Luminosity Dependence of Quasar Clustering at z~0.5
text, January 2012
- Shen, Yue; McBride, Cameron K.; White, Martin
- arXiv
CMB Lensing Power Spectrum Biases from Galaxies and Clusters using High-angular Resolution Temperature Maps
text, January 2013
- van Engelen, A.; Bhattacharya, S.; Sehgal, N.
- arXiv
Cold dark matter haloes in the Planck era: evolution of structural parameters for Einasto and NFW profiles
text, January 2014
- Dutton, Aaron A.; Macciò, Andrea V.
- arXiv
Planck intermediate results. XXIII. Galactic plane emission components derived from Planck with ancillary data
text, January 2014
- Collaboration, Planck; Ade, P. A. R.; Aghanim, N.
- arXiv
A Measurement of Gravitational Lensing of the Cosmic Microwave Background by Galaxy Clusters Using Data from the South Pole Telescope
text, January 2014
- Baxter, E. J.; Keisler, R.; Dodelson, S.
- arXiv
The SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Overview and Early Data
text, January 2015
- Dawson, Kyle S.; Kneib, Jean-Paul; Percival, Will J.
- arXiv
SDSS-III Baryon Oscillation Spectroscopic Survey Data Release 12: galaxy target selection and large scale structure catalogues
preprint, January 2015
- Reid, Beth; Ho, Shirley; Padmanabhan, Nikhil
- arXiv
Clustering of quasars in SDSS-IV eBOSS : study of potential systematics and bias determination
text, January 2017
- Laurent, Pierre; Eftekharzadeh, Sarah; Goff, Jean-Marc Le
- arXiv
The Sloan Digital Sky Survey Quasar Catalog: Fourteenth Data Release
text, January 2017
- Pâris, I.; Petitjean, P.; Aubourg, E.
- arXiv
The 2dF QSO Redshift Survey - XIV. Structure and evolution from the two-point correlation function
text, January 2004
- Croom, Scott M.; Boyle, B. J.; Shanks, T.
- arXiv
HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
text, January 2004
- Gorski, K. M.; Hivon, E.; Banday, A. J.
- arXiv
Dark matter maps reveal cosmic scaffolding
text, January 2007
- Massey, Richard; Rhodes, Jason; Ellis, Richard
- arXiv
Baryonic Features in the Matter Transfer Function
text, January 1997
- Eisenstein, Daniel J.; Hu, Wayne
- arXiv
A measurement of the correlation of galaxy surveys with CMB lensing convergence maps from the south pole telescope
text, January 2012
- Bleem, L. E.; Busha, M. T.; Al, Et
- IOP Publishing
Works referencing / citing this record:
Quantifying the thermal Sunyaev–Zel’dovich effect and excess millimetre emission in quasar environments
journal, October 2019
- Hall, Kirsten R.; Zakamska, Nadia L.; Addison, Graeme E.
- Monthly Notices of the Royal Astronomical Society, Vol. 490, Issue 2
Evolution of Black Hole and Galaxy Growth in a Semi-numerical Galaxy Formation Model
journal, August 2019
- Jones, Mackenzie L.; Hickox, Ryan C.; Mutch, Simon J.
- The Astrophysical Journal, Vol. 881, Issue 2
Evolution of black hole and galaxy growth in a semi-numerical galaxy formation model
text, January 2019
- Jones, Mackenzie L.; Hickox, R. C.; Mutch, S. J.
- arXiv