The Black Hole Mass Function Across Cosmic Times II. Heavy Seeds and (Super)Massive Black Holes

Abstract

This is the second paper in a series aimed at modeling the black hole (BH) mass function, from the stellar to the (super)massive regime. In the present work we focus on (super)massive BHs and provide an ab-initio computation of their mass function across cosmic times. We consider two main mechanisms to grow the central BH, that are expected to cooperate in the high-redshift star-forming progenitors of local massive galaxies. The first is the gaseous dynamical friction process, that can cause the migration toward the nuclear regions of stellar-mass BHs originated during the intense bursts of star formation in the gas-rich host progenitor galaxy, and the buildup of a central heavy BH seed $M_{\bullet }\sim 10^{3-5}{M}_{\odot }$ within short timescales $\lesssim$ some $10^7$ yr. The second mechanism is the standard Eddington-type gas disk accretion onto the heavy BH seed, through which the central BH can become (super)massive $M_{\bullet }\sim 10^{6-10}{M}_{\odot }$ within the typical star-formation duration $\lesssim 1$ Gyr of the host. We validate our semi-empirical approach by reproducing the observed redshift-dependent bolometric AGN luminosity functions and Eddington ratio distributions, and the relationship between the star-formation and the bolometric luminosity of the accreting central BH. We then derive the relic (super)massive BH mass function at different redshifts via a generalized continuity equation approach, and compare it with present observational estimates. Finally, we reconstruct the overall BH mass function from the stellar to the (super)massive regime, over more than ten orders of magnitudes in BH mass.

29 pages, 11 figures. Accepted by ApJ

References in corpus (79)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• A luminous quasar at a redshift of z = 7.085
• A Highly Consistent Framework for the Evolution of the Star-Forming "Main Sequence" from z~0-6
• An Observational Determination of the Bolometric Quasar Luminosity Function
• Constraining the Low-Mass Slope of the Star Formation Sequence at 0.5<z<2.5
• The Herschel view of the dominant mode of galaxy growth from z=4 to the present day
• An ultra-luminous quasar with a twelve-billion-solar-mass black hole at redshift 6.30
• Toward the Standard Population Synthesis Model of the X-Ray Background: Evolution of X-Ray Luminosity and Absorption Functions of Active Galactic Nuclei Including Compton-Thick Populations
• PRIMUS: Constraints on Star Formation Quenching and Galaxy Merging, and the Evolution of the Stellar Mass Function From z=0-1
• A Luminous Quasar at Redshift 7.642
• New Determinations of the UV Luminosity Functions from z~9 to z~2 show a remarkable consistency with halo growth and a constant star formation efficiency
• Ages and metallicities of early-type galaxies in the SDSS: new insight into the physical origin of the colour-magnitude and the Mg2-sigmaV relations
• Multiwavelength study of massive galaxies at z~2. II. Widespread Compton thick AGN and the concurrent growth of black holes and bulges
• The International Pulsar Timing Array second data release: Search for an isotropic Gravitational Wave Background
• A synthesis model for AGN evolution: supermassive black holes growth and feedback modes
• The Mean Star Formation Rate of X-ray selected Active Galaxies and its Evolution from z=2.5: Results from PEP-Herschel
• The origins of massive black holes
• Super-Critical Growth of Massive Black Holes from Stellar-Mass Seeds
• Star Formation at $4<z<6$ From the Spitzer Large Area Survey with Hyper-Suprime-Cam (SPLASH)
• Growth and activity of black holes in galaxy mergers with varying mass ratios
• The mass relations between supermassive black holes and their host galaxies at 1<z<2 with HST-WFC3
• Charting the evolution of the ages and metallicities of massive galaxies since z=0.7
• The SCUBA-2 Cosmology Legacy Survey: ALMA resolves the bright-end of the sub-millimeter number counts
• The Evolution of the IR Luminosity Function and Dust-obscured Star Formation in the Last 13 Billion Years
• Star formation rate and dynamical mass of 10^8 solar mass black hole host galaxies at redshift 6
• Bulge-forming galaxies with an extended rotating disk at z~2
• No significant evolution of relations between Black hole mass and Galaxy total stellar mass up to z~2.5
• Modeling the cosmological co-evolution of supermassive black holes and galaxies: I. BH scaling relations and the AGN luminosity function
• Very high redshift quasars and the rapid emergence of super-massive black holes
• Black Hole Mass Scaling Relations for Early-Type Galaxies: $M_{BH}$-$M_{\ast ,sph}$ and $M_{BH}$-$M_{\ast ,gal}$
• Detailed Shape and Evolutionary Behavior of the X-ray Luminosity Function of Active Galactic Nuclei
• Three new VHS-DES Quasars at 6.7 < z < 6.9 and Emission Line Properties at z > 6.5
• Galaxy Evolution in the Radio Band: The Role of Starforming Galaxies and Active Galactic Nuclei
• The mass function of high redshift seed black holes
• The origin of most massive black holes at high-z: BLUETIDES and the next quasar frontier
• The low-end of the black hole mass function at cosmic dawn
• The mean star formation rates of unobscured QSOs: searching for evidence of suppressed or enhanced star formation
• Supermassive Black Holes in the Hierarchical Universe: A General Framework and Observational Tests
• Molecular gas in three z~7 quasar host galaxies
• A dusty compact object bridging galaxies and quasars at cosmic dawn
• The discovery of a highly accreting, radio-loud quasar at z=6.82
• Relationship between star formation rate and black hole accretion at z=2: The different contributions in quiescent, normal and starburst galaxies
• The Spitzer mid-infrared AGN survey. II-the demographics and cosmic evolution of the AGN population
• An ALMA survey of the S2CLS UDS field: Optically invisible submillimetre galaxies
• The spatially-resolved star formation histories of CALIFA galaxies: Implications for galaxy formation
• Illuminating the dark side of cosmic star formation two billion years after the Big Bang
• Evident black hole-bulge coevolution in the distant universe
• Co-evolution of massive black holes and their host galaxies at high redshift: discrepancies from six cosmological simulations and the key role of JWST
• Revealing the Stellar Mass and Dust Distributions of Submillimeter Galaxies at Redshift 2
• On the Accretion Rates and Radiative Efficiencies of the Highest Redshift Quasars
• ALMA measures rapidly depleted molecular gas reservoirs in massive quiescent galaxies at z~1.5
• Quasar UV luminosity function evolution up to z=8
• Analysis of the SFR - M* plane at z<3: single fitting versus multi-Gaussian decomposition
• Evolution of Galaxy Star Formation and Metallicity: Impact on Double Compact Objects Mergers
• The Rapid Build-up of Massive Early-type Galaxies. Supersolar Metallicity, High Velocity Dispersion and Young Age for an ETG at z=3.35
• Probing black hole accretion tracks, scaling relations and radiative efficiencies from stacked X-ray active galactic nuclei
• The bending of the star-forming main sequence traces the cold- to hot-accretion transition mass over 0<z<4
• Synchronized Co-evolution between Supermassive Black Holes and Galaxies Over the Last Seven Billion Years as Revealed by the Hyper Suprime-Cam
• Co-evolution of black hole accretion and star formation in galaxies up to z=3.5
• ALMA Observations of Quasar Host Galaxies at $z\simeq 4.8$
• The local black hole mass function derived from the M_{BH}-P and the M_{BH}-n relations
• Cosmic evolution of star-forming galaxies to $z\simeq 1.8$ in the faint low-frequency radio source population
• Angular Momentum of Early and Late Type Galaxies: Nature or Nurture?
• The Black Hole Mass Function Across Cosmic Times I. Stellar Black Holes and Light Seed Distribution
• The Correlation between Black Hole Mass and Stellar Mass for Classical Bulges and the Cores of Ellipticals
• Unveiling the nature of 11 dusty star-forming galaxies at the peak of cosmic star formation history
• Ultramassive black holes in the most massive galaxies: $M_{\mathrm{BH}}-\sigma$ versus $M_{\mathrm{BH}}-R_{\mathrm{b}}$
• New Analytic Solutions for Galaxy Evolution II: Wind Recycling, Galactic Fountains and Late-Type Galaxies
• Building robust AGN mock catalogs to unveil black hole evolution and for survey planning
• Rejuvenation triggers nuclear activity in nearby galaxies
• Mid-Infrared Selected Quasars I: Virial Black Hole Mass and Eddington Ratios
• AGN in Dusty Starbursts at Z=2: Feedback Still To Kick In
• A Physical Model for the Quasar Luminosity Function Evolution between Cosmic Dawn and High Noon
• High Star Formation Rates of Low Eddington Ratio Quasars at $z\gtrsim 6$
• An Eddington ratio-driven origin for the ${\mathrm{L}}_{\mathrm{X}}-{\mathrm{M}}_{\ast }$ relation in quiescent and star forming active galaxies
• AGN lifetimes in UV-selected galaxies: a clue to supermassive black hole-host galaxy coevolution
• Estimating lifetimes of uv-selected massive galaxies at $0.5\le z\le 2.5$ in the cosmos/ultravista field through clustering analyses
• Massive Black Hole Mergers

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• The Assembly of Black Hole Mass and Luminosity Functions of High-redshift Quasars via Multiple Accretion Episodes
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• A New Census of the Universe's Entropy
• Fast, dust-poor outflows in the local candidate dual AGN MCG-03-34-64 observed with VLT/ERIS