Quasar candidate selection and photometric redshift estimation based on SDSS and UKIDSS data

We present a sample of 8498 quasars with both SDSS $ugriz$ optical and UKIDSS $YJHK$ near-IR photometric data. With this sample, we obtain the median colour-z relations based on 7400 quasars with magnitude uncertainties less than 0.1mag in all bands. By analyzing the quasar colours, we propose an empirical criterion in the $Y-K$ vs. $g-z$ colour-colour diagram to separate stars and quasars with redshift $z<4$, and two other criteria for selecting high-z quasars. Using the SDSS-UKIDSS colour-z relations, we estimate the photometric redshifts of 8498 SDSS-UKIDSS quasars, and find that 85.0% of them are consistent with the spectroscopic redshifts within $|\Delta z|<0.2$, which leads to a significant increase of the photometric redshift accuracy than that based on the SDSS colour-z relations only. We compare our colour selection criterion with a small UKIDSS/EDR quasar/star sample and a sample of 4671 variable sources in the SDSS Stripe 82 region with both SDSS and UKIDSS data, and find that they can be clearly divided into two classes (quasars and stars) by our criterion in the $Y-K$ vs. $g-z$ plot. We select 3834 quasar candidates from the variable sources with $g<20.5$ in Stripe 82, 826 of them being SDSS quasars and the rest without SDSS spectroscopy. We demonstrate that even at the same spectroscopy limit as SDSS, with our criterion we can at least partially recover the missing quasars with $z\sim2.7$ in SDSS. The SDSS identified quasars only take a small fraction (21.5%) of our quasar candidates selected from the variable sources in Stripe 82, indicating that a deeper spectroscopy is very promising in producing a larger sample of quasars than SDSS. The implications of our results to the future Chinese LAMOST quasar survey are also discussed.