Black Hole and Galaxy Coevolution in Moderately Luminous Active Galactic Nuclei at z~1.4 in SXDF.

We investigate the relation of black hole mass versus host stellar mass and that of mass accretion rate versus star formation rate (SFR) in moderately luminous ($\log L_{\rm bol} \sim 44.5-46.5\ {\rm erg\ s^{-1}}$), X-ray selected broad-line active galactic nuclei (AGNs) at $z=1.18-1.68$ in the Subaru/XMM-Newton Deep Field (SXDF). The far-infrared to far-ultraviolet spectral energy distribution of 85 AGNs are reproduced with the latest version of Code Investigating GALaxy Emission (CIGALE) by \cite{Yang20} where the AGN clumpy torus model SKIRTOR is implemented. Most of their hosts are confirmed to be main sequence star forming galaxies. We find that the mean ratio of the black hole mass ($M_{\rm BH}$) to the total stellar mass ($M_{\rm stellar}$) is $\log M_{\rm BH}/M_{\rm stellar} = -2.2$, which is similar to the local black hole-to-bulge mass ratio. This suggests that if the host galaxies of these moderately luminous AGNs at $z\sim1.4$ are dominated by bulges, they already established the local black hole mass-bulge mass relation; if they are disk dominant, their black holes are overmassive relative to the bulges. The SFR and AGN bolometric luminosities show a good correlation, supporting black hole and galaxy co-evolution in these AGNs.