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In order to investigate the growth of super-massive black holes (SMBHs), weconstruct the black hole mass function (BHMF) and Eddington ratio distributionfunction (ERDF) of X-ray-selected broad-line AGNs at z~1.4 in the SubaruXMM-Newton Deep Survey field. In this redshift range, a significant part of theaccretion growth of SMBHs is thought to be taking place. Black hole masses ofX-ray-selected broad-line AGNs are estimated using the width of the broad MgIIline and the 3000A monochromatic luminosity. We supplement the MgII FWHM valueswith the Ha FWHM obtained from our NIR spectroscopic survey. Using the blackhole masses of broad-line AGNs at redshifts between 1.18 and 1.68, the binnedbroad-line AGN BHMF and ERDF are calculated using the Vmax method. To properlyaccount for selection effects that impact the binned estimates, we derive thecorrected broad-line AGN BHMF and ERDF by applying the Maximum Likelihoodmethod, assuming that the ERDF is constant regardless of the black hole mass.We do not correct for the non-negligible uncertainties in virial BH massestimates. If we compare the corrected broad-line AGN BHMF with that in thelocal Universe, the corrected BHMF at z~1.4 has a higher number density above10^8 Msolar but a lower number density below that mass range. The evolution maybe indicative of a down-sizing trend of accretion activity among the SMBHpopulation. The evolution of broad-line AGN ERDF from z=1.4 to 0 indicates thatthe fraction of broad-line AGNs with accretion rate close to theEddington-limit is higher at higher redshifts.

Black hole mass and Eddington ratio distribution functions of X-ray selected broad-line AGNs at z~1.4 in the Subaru XMM-Newton Deep Field