Global analysis of luminosity- and colour-dependent galaxy clustering in
  the Sloan Digital Sky Survey
  We present a Halo Occupation Distribution (HOD) analysis of the luminosity-
and colour-dependent galaxy clustering in the Sloan Digital Sky Survey. A
novelty of our technique is that it uses a combination of clustering
measurements in luminosity bins to perform a global likelihood analysis,
simultaneously constraining the HOD parameters for a range of luminosity
thresholds. We present simple, smooth fitting functions which accurately
describe the resulting luminosity dependence of the best-fit HOD parameters. To
minimise systematic halo modelling effects, we use theoretical halo 2-point
correlation functions directly measured and tabulated from a suite of $N$-body
simulations spanning a large enough dynamic range in halo mass and spatial
separation. Thus, our modelling correctly accounts for non-linear and
scale-dependent halo bias as well as any departure of halo profiles from
universality, and we additionally account for halo exclusion using the hard
sphere approximation. Using colour-dependent clustering information, we
constrain the satellite galaxy red fraction in a model-independent manner which
does not rely on any group-finding algorithm. We find that the resulting
luminosity dependence of the satellite red fraction is significantly shallower
than corresponding measurements from galaxy group catalogues, and we provide a
simple fitting function to describe this dependence. Our fitting functions are
readily usable in generating low-redshift mock galaxy catalogues, and we
discuss some potentially interesting applications as well as possible
extensions of our technique.
