Supermassive Black Holes with High Accretion Rates in Active Galactic Nuclei. VIII. Structure of the Broad-line Region and Mass of the Central Black Hole in Mrk 142

This is the eighth in a series of papers reporting on a large reverberation mapping (RM) campaign to measure black hole (BH) mass in active galactic nuclei with high accretion rates. We employ the recently developed dynamical modeling approach for broad-line regions (BLRs) based on the method of Pancoast et al. to analyze the RM data set of Mrk 142 observed in the first monitoring season. In this approach, continuum variations are reconstructed using a damped random walk process, and BLR structure is delineated using a flexible disk-like geometry, in which BLR clouds move around the central BH with Keplerian orbits or inflow/outflow motion. The approach also includes the possibilities of anisotropic emission from BLR clouds, nonlinear response of the line emission to the continuum, and different long-term trends in the continuum and emission-line variations. We implement the approach in a Bayesian framework that is apt for parallel computation and use a Markov chain Monte Carlo technique to recover the parameters and uncertainties for the modeling, including the mass of the central BH. We apply three BLR models with different prescriptions of BLR cloud distributions and find that the best model for fitting the data of Mrk 142 is a two-zone BLR model, consistent with the theoretical BLR model surrounding slim accretion disks. The best model yields a BH mass of , resulting in a virial factor of for the full width at half maximum of the Hβ line measured from the mean spectrum. The virial factors for the other measures of the Hβ line width are also presented.

[1]  R. Narayan,et al.  Observational Evidence for Black Holes , 2013, Modern General Relativity.

[2]  L. Ho,et al.  Supermassive Black Holes with High Accretion Rates in Active Galactic Nuclei. VII. Reconstruction of Velocity-delay Maps by the Maximum Entropy Method , 2018, The Astrophysical Journal.

[3]  T. Treu,et al.  Stability of the Broad-line Region Geometry and Dynamics in Arp 151 Over Seven Years , 2018, 1803.02318.

[4]  Yan-Rong Li,et al.  A new approach for measuring power spectra and reconstructing time series in active galactic nuclei , 2018, 1802.07958.

[5]  L. Ho,et al.  Supermassive Black Holes with High Accretion Rates in Active Galactic Nuclei. IX. 10 New Observations of Reverberation Mapping and Shortened Hβ Lags , 2018, 1802.03022.

[6]  D. N. Okhmat,et al.  Continuum Reverberation Mapping of the Accretion Disks in Two Seyfert 1 Galaxies , 2018, 1801.09692.

[7]  C. D. Laney,et al.  THE LICK AGN MONITORING PROJECT 2011: DYNAMICAL MODELING OF THE BROAD-LINE REGION IN Mrk 50 , 2012, The Astrophysical Journal.

[8]  C. D. Laney,et al.  THE LICK AGN MONITORING PROJECT 2011: DYNAMICAL MODELING OF THE BROAD-LINE REGION IN Mrk 50 , 2012, The Astrophysical Journal.

[9]  K. Korista,et al.  Accretion Disk Reverberation with Hubble Space Telescope Observations of NGC 4593: Evidence for Diffuse Continuum Lags , 2017, 1712.04025.

[10]  Yan-Rong Li,et al.  Failed Radiatively Accelerated Dusty Outflow Model of the Broad Line Region in Active Galactic Nuclei. I. Analytical Solution , 2017, 1706.07958.

[11]  Optical variability of narrow-line and broad-line Seyfert 1 galaxies , 2017, 1705.05123.

[12]  T. Treu,et al.  The Structure of the Broad-line Region in Active Galactic Nuclei. II. Dynamical Modeling of Data From the AGN10 Reverberation Mapping Campaign , 2017, 1705.02346.

[13]  N. Gehrels,et al.  Swift Monitoring of NGC 4151: Evidence for a Second X-Ray/UV Reprocessing , 2017, 1703.06901.

[14]  Astrophysics,et al.  IMPROVING THE FLUX CALIBRATION IN REVERBERATION MAPPING BY SPECTRAL FITTING:APPLICATION TO THE SEYFERT GALAXY MCG–6-30-15 , 2016, The Astrophysical Journal.

[15]  Chen Hu,et al.  SUPERMASSIVE BLACK HOLES WITH HIGH ACCRETION RATES IN ACTIVE GALACTIC NUCLEI. V. A NEW SIZE–LUMINOSITY SCALING RELATION FOR THE BROAD-LINE REGION , 2016, 1604.06218.

[16]  S. Kozłowski.  REVISITING STOCHASTIC VARIABILITY OF AGNs WITH STRUCTURE FUNCTIONS , 2016, 1604.05858.

[17]  S. Kozłowski,et al.  A degeneracy in DRW modelling of AGN light curves , 2016, 1604.01773.

[18]  L. Ho,et al.  SUPERMASSIVE BLACK HOLES WITH HIGH ACCRETION RATES IN ACTIVE GALACTIC NUCLEI. VI. VELOCITY-RESOLVED REVERBERATION MAPPING OF THE Hβ LINE , 2016, 1602.01922.

[19]  Doreen Eichel,et al.  Data Analysis A Bayesian Tutorial , 2016 .

[20]  G. Richards,et al.  Are the variability properties of the Kepler AGN light curves consistent with a damped random walk , 2015, 1505.00360.

[21]  Chen Hu,et al.  SUPERMASSIVE BLACK HOLES WITH HIGH ACCRETION RATES IN ACTIVE GALACTIC NUCLEI. IV. Hβ TIME LAGS AND IMPLICATIONS FOR SUPER-EDDINGTON ACCRETION , 2015, 1504.01844.

[22]  Astrophysics,et al.  SUPERMASSIVE BLACK HOLES WITH HIGH ACCRETION RATES IN ACTIVE GALACTIC NUCLEI. III. DETECTION OF Fe ii REVERBERATION IN NINE NARROW-LINE SEYFERT 1 GALAXIES , 2015, 1503.03611.

[23]  S. B. Cenko,et al.  THE LICK AGN MONITORING PROJECT 2011: SPECTROSCOPIC CAMPAIGN AND EMISSION-LINE LIGHT CURVES , 2015, 1503.01146.

[24]  J. Pott,et al.  SPATIALLY RESOLVING THE KINEMATICS OF THE ≲ 100 &mgr; as ?> QUASAR BROAD-LINE REGION USING SPECTROASTROMETRY , 2015, 1502.07767.

[25]  T. Treu,et al.  Constraints on the broad line region from regularized linear inversion: velocity–delay maps for five nearby active galactic nuclei , 2015, 1502.02031.

[26]  M. C. Bentz,et al.  SPACE TELESCOPE AND OPTICAL REVERBERATION MAPPING PROJECT. II. SWIFT AND HST REVERBERATION MAPPING OF THE ACCRETION DISK OF NGC 5548 , 2015, 1501.05951.

[27]  Romain G. Petrov,et al.  Differential interferometry of QSO broad-line regions – I. Improving the reverberation mapping model fits and black hole mass estimates , 2014, 1410.4837.

[28]  L. Ho,et al.  SELF-SHADOWING EFFECTS OF SLIM ACCRETION DISKS IN ACTIVE GALACTIC NUCLEI: THE DIVERSE APPEARANCE OF THE BROAD-LINE REGION , 2014, 1410.5285.

[29]  Gerd Weigelt,et al.  VLTI/AMBER differential interferometry of the broad-line region of the quasar 3C273 , 2014, Other Conferences.

[30]  D. N. Okhmat,et al.  REVERBERATION MAPPING OF THE SEYFERT 1 GALAXY NGC 7469 , 2014, 1409.4448.

[31]  Bradley M. Peterson,et al.  Measuring the Masses of Supermassive Black Holes , 2014 .

[32]  Chen Hu,et al.  SUPERMASSIVE BLACK HOLES WITH HIGH ACCRETION RATES IN ACTIVE GALACTIC NUCLEI. II. THE MOST LUMINOUS STANDARD CANDLES IN THE UNIVERSE , 2014, 1408.2337.

[33]  D. Walton,et al.  The NuSTAR spectrum of Mrk 335: extreme relativistic effects within two gravitational radii of the event horizon? , 2014, 1407.8223.

[34]  K. Korista,et al.  Interpreting broad emission-line variations I : Factors influencing the emission-line response , 2014, 1407.5004.

[35]  Brendon J. Brewer,et al.  Modelling reverberation mapping data – I. Improved geometric and dynamical models and comparison with cross-correlation results , 2014, 1407.2941.

[36]  Astrophysics,et al.  THE BLACK HOLE MASS SCALE OF CLASSICAL AND PSEUDO BULGES IN ACTIVE GALAXIES , 2014, 1406.6137.

[37]  Brandon C. Kelly,et al.  FLEXIBLE AND SCALABLE METHODS FOR QUANTIFYING STOCHASTIC VARIABILITY IN THE ERA OF MASSIVE TIME-DOMAIN ASTRONOMICAL DATA SETS , 2014, 1402.5978.

[38]  Brendon J. Brewer,et al.  Modelling reverberation mapping data – II. Dynamical modelling of the Lick AGN Monitoring Project 2008 data set , 2013, 1311.6475.

[39]  Fang Wang,et al.  SUPERMASSIVE BLACK HOLES WITH HIGH ACCRETION RATES IN ACTIVE GALACTIC NUCLEI. I. FIRST RESULTS FROM A NEW REVERBERATION MAPPING CAMPAIGN , 2013, 1310.4107.

[40]  J. Stone,et al.  THE EFFECTS OF IRRADIATION ON CLOUD EVOLUTION IN ACTIVE GALACTIC NUCLEI , 2013, 1311.1540.

[41]  L. Ho,et al.  A BAYESIAN APPROACH TO ESTIMATE THE SIZE AND STRUCTURE OF THE BROAD-LINE REGION IN ACTIVE GALACTIC NUCLEI USING REVERBERATION MAPPING DATA , 2013, 1310.3907.

[42]  A. Barth,et al.  ON THE VIRIALIZATION OF DISK WINDS: IMPLICATIONS FOR THE BLACK HOLE MASS ESTIMATES IN ACTIVE GALACTIC NUCLEI , 2013, The Astrophysical Journal.

[43]  D. Riechers,et al.  DO QUIESCENT AND ACTIVE GALAXIES HAVE DIFFERENT MBH–σ* RELATIONS? , 2013, 1305.2946.

[44]  P. Martini,et al.  STELLAR VELOCITY DISPERSION MEASUREMENTS IN HIGH-LUMINOSITY QUASAR HOSTS AND IMPLICATIONS FOR THE AGN BLACK HOLE MASS SCALE , 2013, 1305.2447.

[45]  L. Ho,et al.  Coevolution (Or Not) of Supermassive Black Holes and Host Galaxies: Supplemental Material , 2013, 1304.7762.

[46]  Dae-Won Kim,et al.  Assessment of stochastic and deterministic models of 6304 quasar lightcurves from SDSS Stripe 82 , 2013, 1304.2863.

[47]  Bradley M. Peterson,et al.  THE LOW-LUMINOSITY END OF THE RADIUS–LUMINOSITY RELATIONSHIP FOR ACTIVE GALACTIC NUCLEI , 2013, 1303.1742.

[48]  A. Marconi,et al.  Spectroastrometry of rotating gas disks for the detection of supermassive black holes in galactic nuclei. III. CRIRES observations of the Circinus galaxy , 2012, 1211.0943.

[49]  D. J. Walton,et al.  Suzaku observations of 'bare' active galactic nuclei , 2012, 1210.4593.

[50]  D. N. Okhmat,et al.  THE STRUCTURE OF THE BROAD-LINE REGION IN ACTIVE GALACTIC NUCLEI. I. RECONSTRUCTED VELOCITY-DELAY MAPS , 2012, 1210.2397.

[51]  T. Treu,et al.  RECALIBRATION OF THE VIRIAL FACTOR AND MBH–σ* RELATION FOR LOCAL ACTIVE GALAXIES , 2012, 1209.3773.

[52]  Stefan Kraus,et al.  New opportunities with spectro-interferometry and spectro-astrometry , 2012, Other Conferences.

[53]  A. Markowitz,et al.  A Suzaku survey of Fe K lines in Seyfert 1 active galactic nuclei , 2012, 1208.1150.

[54]  C. Kochanek,et al.  IS QUASAR OPTICAL VARIABILITY A DAMPED RANDOM WALK? , 2012, 1202.3783.

[55]  J. Baldwin,et al.  STAR FORMATION IN SELF-GRAVITATING DISKS IN ACTIVE GALACTIC NUCLEI. II. EPISODIC FORMATION OF BROAD-LINE REGIONS , 2012, 1202.0062.

[56]  Rick Edelson,et al.  KEPLER OBSERVATIONS OF RAPID OPTICAL VARIABILITY IN ACTIVE GALACTIC NUCLEI , 2011, 1111.0672.

[57]  D. N. Okhmat,et al.  A REVERBERATION LAG FOR THE HIGH-IONIZATION COMPONENT OF THE BROAD-LINE REGION IN THE NARROW-LINE SEYFERT 1 Mrk 335 , 2011, 1110.6179.

[58]  N. Neumayer,et al.  Spectroastrometry of rotating gas disks for the detection of supermassive black holes in galactic nuclei - II. Application to the galaxy Centaurus A (NGC 5128) , 2011, 1110.0936.

[59]  A. Laor,et al.  Cold accretion discs and lineless quasars , 2011, 1106.4969.

[60]  T. Treu,et al.  THE MASS OF THE BLACK HOLE IN Arp 151 FROM BAYESIAN MODELING OF REVERBERATION MAPPING DATA , 2011, 1104.4794.

[61]  T. Treu,et al.  GEOMETRIC AND DYNAMICAL MODELS OF REVERBERATION MAPPING DATA , 2011, 1101.4952.

[62]  R. Bender,et al.  Supermassive black holes do not correlate with dark matter haloes of galaxies , 2011, Nature.

[63]  M. E. Cornell,et al.  Supermassive black holes do not correlate with galaxy disks or pseudobulges , 2011, Nature.

[64]  Krzysztof Hryniewicz,et al.  The origin of the broad line region in active galactic nuclei , 2010, 1010.6201.

[65]  C. S. Kochanek,et al.  AN ALTERNATIVE APPROACH TO MEASURING REVERBERATION LAGS IN ACTIVE GALACTIC NUCLEI , 2010, 1008.0641.

[66]  Brendon J. Brewer,et al.  Diffusive nested sampling , 2009, Stat. Comput..

[67]  Philip C. Gregory,et al.  Bayesian exoplanet tests of a new method for MCMC sampling in highly correlated model parameter spaces , 2011 .

[68]  E. Athanassoula,et al.  An expanded Mbh–σ diagram, and a new calibration of active galactic nuclei masses , 2010, 1007.3834.

[69]  M. C. Bentz,et al.  REVERBERATION MAPPING MEASUREMENTS OF BLACK HOLE MASSES IN SIX LOCAL SEYFERT GALAXIES , 2010, 1006.4160.

[70]  P. Marziani,et al.  THE EFFECT OF RADIATION PRESSURE ON EMISSION-LINE PROFILES AND BLACK HOLE MASS DETERMINATION IN ACTIVE GALACTIC NUCLEI , 2010, 1006.3553.

[71]  C. E. Thornton,et al.  THE LICK AGN MONITORING PROJECT: REVERBERATION MAPPING OF OPTICAL HYDROGEN AND HELIUM RECOMBINATION LINES , 2010, 1004.2922.

[72]  E. Bullock,et al.  MODELING THE TIME VARIABILITY OF SDSS STRIPE 82 QUASARS AS A DAMPED RANDOM WALK , 2010, 1004.0276.

[73]  Usa,et al.  Spectroastrometry of rotating gas disks for the detection of supermassive black holes in galactic nuclei I. Method and simulations , 2010, 1001.1072.

[74]  Takeo Minezaki,et al.  THE LICK AGN MONITORING PROJECT: BROAD-LINE REGION RADII AND BLACK HOLE MASSES FROM REVERBERATION MAPPING OF Hβ , 2009, The Astrophysical Journal.

[75]  T. O. S. University,et al.  MASS FUNCTIONS OF THE ACTIVE BLACK HOLES IN DISTANT QUASARS FROM THE LARGE BRIGHT QUASAR SURVEY, THE BRIGHT QUASAR SURVEY, AND THE COLOR-SELECTED SAMPLE OF THE SDSS FALL EQUATORIAL STRIPE , 2009, 0904.3348.

[76]  Brandon C. Kelly,et al.  ARE THE VARIATIONS IN QUASAR OPTICAL FLUX DRIVEN BY THERMAL FLUCTUATIONS? , 2009, 0903.5315.

[77]  H. Netzer.  RADIATION PRESSURE FORCE AND BLACK HOLE MASS DETERMINATION IN LOW-REDSHIFT TYPE-I AND TYPE-II ACTIVE GALACTIC NUCLEI , 2008, 0811.3251.

[78]  G. Richards,et al.  Biases in Virial Black Hole Masses: An SDSS Perspective , 2007, 0709.3098.

[79]  L. Ho,et al.  The Mass Function of Active Black Holes in the Local Universe , 2007, 0705.0020.

[80]  K. Aoki,et al.  A Bar Fuels a Supermassive Black Hole?: Host Galaxies of Narrow-Line Seyfert 1 Galaxies , 2006, astro-ph/0610355.

[81]  Hongyan Zhou,et al.  A Comprehensive Study of 2000 Narrow Line Seyfert 1 Galaxies from the Sloan Digital Sky Survey. I. The Sample , 2006, astro-ph/0603759.

[82]  B. Peterson,et al.  Systematic effects in measurement of black hole masses by emission-line reverberation of active galactic nuclei: Eddington ratio and inclination , 2006, astro-ph/0603460.

[83]  D. Maoz,et al.  The Relationship between Luminosity and Broad-Line Region Size in Active Galactic Nuclei , 2005, astro-ph/0504484.

[84]  Philip C. Gregory,et al.  Bayesian Logical Data Analysis for the Physical Sciences: Acknowledgements , 2005 .

[85]  K. Aoki,et al.  The Largest Blueshifts of the [O III] Emission Line in Two Narrow-Line Quasars , 2004, astro-ph/0409546.

[86]  Bradley M. Peterson,et al.  Supermassive Black Holes in Active Galactic Nuclei. II. Calibration of the Black Hole Mass-Velocity Dispersion Relationship for Active Galactic Nuclei , 2004 .

[87]  B. M. Peterson,et al.  Central Masses and Broad-Line Region Sizes of Active Galactic Nuclei. II. A Homogeneous Analysis of a Large Reverberation-Mapping Database , 2004, astro-ph/0407299.

[88]  Yu. F. Malkov,et al.  Steps toward Determination of the Size and Structure of the Broad-Line Region in Active Galactic Nuclei. XVI. A 13 Year Study of Spectral Variability in NGC 5548 , 2002, astro-ph/0208064.

[89]  T. Boroson.  Black Hole Mass and Eddington Ratio as Drivers for the Observable Properties of Radio-loud and Radio-quiet QSOs , 2001, astro-ph/0109317.

[90]  M. Véron-Cetty,et al.  A spectrophotometric atlas of narrow-line seyfert 1 galaxies , 2001, astro-ph/0104151.

[91]  J. Krolik.  Systematic Errors in the Estimation of Black Hole Masses by Reverberation Mapping , 2000, astro-ph/0012134.

[92]  Ralf Bender,et al.  A Relationship between Nuclear Black Hole Mass and Galaxy Velocity Dispersion , 2000, astro-ph/0006289.

[93]  D. Merritt,et al.  A Fundamental Relation between Supermassive Black Holes and Their Host Galaxies , 2000, astro-ph/0006053.

[94]  Paul S. Smith,et al.  Reverberation Measurements for 17 Quasars and the Size-Mass-Luminosity Relations in Active Galactic Nuclei , 1999, astro-ph/9911476.

[95]  W. Welsh,et al.  On the Reliability of Cross‐Correlation Function Lag Determinations in Active Galactic Nuclei , 1999, astro-ph/9911112.

[96]  Bradley M. Peterson,et al.  Keplerian Motion of Broad-Line Region Gas as Evidence for Supermassive Black Holes in Active Galactic Nuclei , 1999, astro-ph/9905382.

[97]  Jian-Min Wang,et al.  Self-similar Solution of Optically Thick Advection-dominated Flows , 1999 .

[98]  L. Ho.  Supermassive Black Holes in Galactic Nuclei , 1998, astro-ph/9803307.

[99]  B. Peterson,et al.  Optical Continuum and Emission-Line Variability of Seyfert 1 Galaxies , 1998, astro-ph/9802104.

[100]  S. Tremaine,et al.  The Demography of Massive Dark Objects in Galaxy Centers , 1997, astro-ph/9708072.

[101]  A. Wandel.  Spectral Dependence of the Broad Emission Line Region in Active Galactic Nuclei , 1997 .

[102]  Claudia Winge,et al.  Steps toward Determination of the Size and Structure of the Broad-Line Region in Active Galactic Nuclei. IX. Ultraviolet Observations of Fairall 9 , 1997 .

[103]  B. Peterson,et al.  Broad Emission-line Variability in Markarian 335 , 1997 .

[104]  R. D. Blandford,et al.  Dynamics of Broad Emission-Line Region in NGC 5548: Hydromagnetic Wind Model versus Observations , 1996, astro-ph/9610026.

[105]  M. Goad,et al.  The Effect of a Variable Anisotropic Continuum Source upon the Broad Emission Line Profiles and Responses , 1996 .

[106]  John Kormendy,et al.  Inward Bound—The Search for Supermassive Black Holes in Galactic Nuclei , 1995 .

[107]  E. V. Groningen,et al.  Hysteresis in broad-line regions of active galactic nuclei. , 1994 .

[108]  Bradley M. Peterson,et al.  REVERBERATION MAPPING OF ACTIVE GALACTIC NUCLEI , 1993 .

[109]  T. Boroson,et al.  The Emission-Line Properties of Low-Redshift Quasi-stellar Objects , 1992 .

[110]  E. Pérez,et al.  The response of the broad emission line region to ionizing continuum variations – II. Numerical simulations , 1992 .

[111]  R. Blandford,et al.  Magnetic acceleration of broad emission-line clouds in active galactic nuclei , 1992 .

[112]  W. Press,et al.  Interpolation, realization, and reconstruction of noisy, irregularly sampled data , 1992 .

[113]  C. Gaskell,et al.  Structure and kinematics of the broad-line regions in active galaxies from IUE variability data , 1991 .

[114]  H. Mendelson,et al.  High-rate active galaxy monitoring at the wise observatory. III, The broad-line region of NGC 4151 , 1991 .

[115]  E. Pérez,et al.  The response of the broad emission line region to ionizing continuum variations , 1990 .

[116]  Nicholas E. White,et al.  X-ray fluorescence from the inner disc in Cygnus X-1 , 1989 .

[117]  Clifford M. Hurvich,et al.  Regression and time series model selection in small samples , 1989 .

[118]  J. Lasota,et al.  Slim Accretion Disks , 1988 .

[119]  B. Peterson,et al.  The Accuracy of Cross-Correlation Estimates of Quasar Emission-Line Region Sizes , 1987 .

[120]  C. M. Gaskell,et al.  Line variations in quasars and Seyfert galaxies , 1986 .

[121]  J. Hutchings,et al.  H I emission from quasar host galaxies , 1985 .

[122]  Christopher F. McKee,et al.  Reverberation mapping of the emission line regions of Seyfert galaxies and quasars. , 1982 .

[123]  G. Schwarz.  Estimating the Dimension of a Model , 1978 .

[124]  R. Cromwell,et al.  Changes in the Nuclear Spectrum of the Seyfert Galaxy NGC 4151 , 1970 .

[125]  H. Chiu,et al.  Quasi-Stellar Objects , 1967 .