The Population of High A$_V$ Quasars in COSMOS: Determining the Fraction of Reddened Quasi-Stellar Objects

The sub-population of quasi-stellar objects (QSOs) reddened by intrinsic or intervening clouds of dust are known to be underrepresented in optical QSO surveys. By defining a complete parent sample of the most luminous and spatially unresolved QSOs in the COSMOS field we quantify to which extent this sub-population is fundamental to our understanding of the true population of QSOs. By utilizing the available multi-wavelength data of various surveys in the COSMOS field we build a parent sample of 33 QSOs, identified by robust X-ray to radio wavelength selection techniques. We assume that by applying several complementary selection techniques of QSOs, our parent sample will be complete down to our adopted magnitude limit of $J=20$. Spectroscopic follow-up with the NOT/ALFOSC was carried out to obtain a 100\% redshift completeness of the sample. The population of High $A_V$ Quasars (HAQs), a specific sub-population of QSOs selected from optical/near-infrared photometry of which some were shown to be missed in large optical surveys, e.g., SDSS, is found to contribute to $20\%$ of the parent sample. The full population of luminous, spatially unresolved QSOs represented by our parent sample were found to consist of $40\%$ reddened QSOs defined by having $A_V>0.1$, and $20\%$ of the sample having $E(B-V)>0.1$. We found that the fraction of QSOs with contributing light from the host galaxy, causing observed extended spatial morphology, is most dominant at $z \lesssim 1$. At higher redshifts the population of spatially unresolved QSOs selected by our parent sample is found to be representative of the full population of luminous QSOs at $J<20$. This work helps quantify the bias against reddened QSOs in studies based only on optical surveys.