Joint Analysis of Galaxy-Galaxy Lensing and Galaxy Clustering:
  Methodology and Forecasts for DES
  The joint analysis of galaxy-galaxy lensing and galaxy clustering is a
promising method for inferring the growth function of large scale structure.
This analysis will be carried out on data from the Dark Energy Survey (DES),
with its measurements of both the distribution of galaxies and the tangential
shears of background galaxies induced by these foreground lenses. We develop a
practical approach to modeling the assumptions and systematic effects affecting
small scale lensing, which provides halo masses, and large scale galaxy
clustering. Introducing parameters that characterize the halo occupation
distribution (HOD), photometric redshift uncertainties, and shear measurement
errors, we study how external priors on different subsets of these parameters
affect our growth constraints. Degeneracies within the HOD model, as well as
between the HOD and the growth function, are identified as the dominant source
of complication, with other systematic effects sub-dominant. The impact of HOD
parameters and their degeneracies necessitate the detailed joint modeling of
the galaxy sample that we employ. We conclude that DES data will provide
powerful constraints on the evolution of structure growth in the universe,
conservatively/optimistically constraining the growth function to 7.9\%/4.8\%
with its first-year data that covered over 1000 square degrees, and to
3.9\%/2.3\% with its full five-year data that will survey 5000 square degrees,
including both statistical and systematic uncertainties.
