We combine the most precise small scale ( < 100 h ^ { -1 } kpc ) quasar clustering constraints to date with recent measurements at large scales ( > 1 h ^ { -1 } 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 _ { sat } = 0.071 _ { -0.004 } ^ { +0.009 } and minimum mass of M _ { m } = 2.31 _ { -0.38 } ^ { +0.41 } \times 10 ^ { 12 } h ^ { -1 } 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 .