A Halo Occupation Interpretation Of Quasars At $z\sim 1.5$ Using Very Small Scale Clustering Information

Abstract

We combine the most precise small scale ($<100{\mathrm{h}}^{-1}\mathrm{kpc}$) quasar clustering constraintsto date with recent measurements at large scales ($>1{\mathrm{h}}^{-1}\mathrm{Mpc}$) from the extended Baryon Oscillation Spectroscopic Survey (eBOSS) to better constrain the satellite fraction of quasars at $z\sim 1.5$ in the halo occupation formalism. We build our Halo Occupation Distribution (HOD) framework based on commonly used analytic forms for the one and two-halo terms with two free parameters: the minimum halo mass that hosts a central quasar and the fraction of satellite quasars that are within one halo. Inspired by recent studies that propose a steeper density profile for the dark matter haloes that host quasars, we explore HOD models at kiloparsec scales and best-fit parameters for models with $10\times$ higher concentration parameter. We find that an HOD model with a satellite fraction of $f_{\mathrm{sat}}=0.071_{-0.004}^{+0.009}$ and minimum mass of ${\mathrm{M}}_{\mathrm{m}}=2.31_{-0.38}^{+0.41}\times 10^{12}{\mathrm{h}}^{-1}{\mathrm{M}}_{\odot }$ for the host dark matter haloes best describes quasar clustering (on all scales) at $z\sim 1.5$. Our results are marginally inconsistent with earlier work that studied brighter quasars, hinting at a luminosity-dependence to the one-halo term.

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