This is the eighth in a series of papers reporting on a large reverberation mapping campaign to measure black hole ( BH ) mass in high accretion rate active galactic nuclei ( AGNs ) .
We employ the recently developed dynamical modeling approach for broad-line regions ( BLRs ) based on the method of Pancoast et al .
to analyze the reverberation mapping dataset 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 of BLR clouds , non-linear 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 mass of the central BH .
We apply three BLR models with different prescriptions of BLR clouds 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 \log ( M _ { \bullet } / M _ { \odot } ) = 6.23 _ { -0.45 } ^ { +0.26 } , resulting in a virial factor of \log f = -0.36 _ { -0.54 } ^ { +0.33 } for the full width at half maximum of the H \beta line measured from the mean spectrum .
The virial factors for the other measures of the H \beta line width are also presented .