How does the Polar Dust affect the Correlation between Dust Covering
  Factor and Eddington Ratio in Type 1 Quasars Selected from the Sloan Digital
  Sky Survey Data Release 16?
  We revisit the dependence of covering factor (CF) of dust torus on physical
properties of active galactic nuclei (AGNs) by taking into account an AGN polar
dust emission. The CF is converted from a ratio of infrared (IR) luminosity
contributed from AGN dust torus ($L_{\rm IR}^{\rm torus}$) and AGN bolometric
luminosity ($L_{\rm bol}$), by assuming a non-linear relation between
luminosity ratio and intrinsic CF. We select 37,181 type 1 quasars at $z < 0.7$
from the Sloan Digital Sky Survey Data Release 16 quasar catalog. Their $L_{\rm
bol}$, black hole mass ($M_{\rm BH}$), and Eddington ratio ($\lambda_{\rm
Edd}$) are derived by spectral fitting with QSFit. We conduct spectral energy
distribution decomposition by using X-CIGALE with clumpy torus and polar dust
model to estimate $L_{\rm IR}^{\rm torus}$ without being affected by the
contribution of stellar and AGN polar dust to IR emission. For 5720 quasars
whose physical quantities are securely determined, we perform a correlation
analysis on CF and (i) $L_{\rm bol}$, (ii) $M_{\rm BH}$, and (iii)
$\lambda_{\rm Edd}$. As a result, anti-correlations for CF-$L_{\rm bol}$,
CF-$M_{\rm BH}$, and CF-$\lambda_{\rm Edd}$ are confirmed. We find that
incorporating the AGN polar dust emission makes those anti-correlations
stronger which are compared to those without considering it. This indicates
that polar dust wind provably driven by AGN radiative pressure is one of the
key components to regulate obscuring material of AGNs.
