Clustering of quasars in a wide luminosity range at redshift 4 with Subaru Hyper Suprime-Cam Wide-field imaging

We examine the clustering of quasars over a wide luminosity range, by utilizing 901 quasars at (Z) over bar (phot) similar to 3.8 with -24.73 < M-1450 < -22.23 photometrically selected from the Hyper Suprime-Cam Subaru Strategic Program (HSC-SSP) S16A Wide2 date release and 342 more luminous quasars at 3.4 < z(spec) < 4.6 with -28.0 < M-1450 < -23.95 from the Sloan Digital Sky Survey that fall in the HSC survey fields. We measure the bias factors of two quasar samples by evaluating the cross-correlation functions (CCFs) between the quasar samples and 25790 bright z similar to 4 Lyman break galaxies in M-1450 < -21.25 photometrically selected from the HSC dataset. Over an angular scale of 10".0 to 1000".0, the bias factors are 5.93(-1.43)(+1.34) and 2.73(-2.55)(+2.44) for the low-and high-luminosity quasars, respectively, indicating no significant luminosity dependence of quasar clustering at z similar to 4. It is noted that the bias factor of the luminous quasars estimated by the CCF is smaller than that estimated by the auto-correlation function over a similar redshift range, especially on scales below 40".0. Moreover, the bias factor of the less-luminous quasars implies the minimal mass of their host dark matter halos is 0.3-2 x 10(12) h(-1)M(circle dot), corresponding to a quasar duty cycle of 0.001-0.06.