THE SPATIAL CLUSTERING OF ROSAT ALL-SKY SURVEY AGNs. I. THE CROSS-CORRELATION FUNCTION WITH SDSS LUMINOUS RED GALAXIES

We investigate the clustering properties of similar to 1550 broad-line active galactic nuclei (AGNs) at < z > = 0.25 detected in the ROSAT All-Sky Survey (RASS) through their measured cross-correlation function with similar to 46,000 luminous red galaxies (LRGs) in the Sloan Digital Sky Survey. By measuring the cross-correlation of our AGN sample with a larger tracer set of LRGs, we both minimize shot noise errors due to the relatively small AGN sample size and avoid systematic errors due to the spatially varying Galactic absorption that would affect direct measurements of the auto-correlation function (ACF) of the AGN sample. The measured ACF correlation length for the total RASS-AGN sample (< L-X(0.1-2.4 keV)> = 1.5 x 10(44) erg s(-1)) is r(0) = 4.3(-0.5)(+0.4) h(-1) Mpc and the slope gamma = 1.7(-0.1)(+0.1). Splitting the sample into low and high L-X samples at L-X(0.5-10 keV) = 10(44) erg s(-1), we detect an X-ray luminosity dependence of the clustering amplitude at the similar to 2.5 sigma level. The low L-X sample has r(0) = 3.3(-0.8)(+0.6) h(-1) Mpc (gamma = 1.7(-0.3)(+0.4)), which is similar to the correlation length of blue star-forming galaxies at low redshift. The high L-X sample has r(0) = 5.4(-1.0)(+0.7) h(-1) Mpc (gamma = 1.9(-0.2)(+0.2)), which is consistent with the clustering of red galaxies. From the observed clustering amplitude, we infer that the typical dark matter halo (DMH) mass harboring RASS-AGN with broad optical emission lines is log (M-DMH/(h(-1) M-circle dot)) = 12.6(-0.3)(+0.2), 11.8(-infinity)(+0.6), 13.1(-0.4)(+0.2) for the total, low L-X, and high L-X RASS-AGN samples, respectively.