Testing gravity with galaxy-galaxy lensing and redshift-space
  distortions using CFHT-Stripe 82, CFHTLenS and BOSS CMASS datasets
  The combination of Galaxy-Galaxy Lensing (GGL) and Redshift Space Distortion
of galaxy clustering (RSD) is a privileged technique to test General Relativity
predictions, and break degeneracies between the growth rate of structure
parameter $f$ and the amplitude of the linear power-spectrum $\sigma_8$. We
perform a joint GGL and RSD analysis on 250 sq. degrees using shape catalogues
from CFHTLenS and CFHT-Stripe 82, and spectroscopic redshifts from the BOSS
CMASS sample. We adjust a model that includes non-linear biasing, RSD and
Alcock-Paczynski effects. We find $f(z=0.57) =0.95\pm0.23$,
$\sigma_8(z=0.57)=0.55\pm0.07$ and $\Omega_{\rm m} = 0.31\pm0.08$, in agreement
with Planck cosmological results 2018. We also estimate the probe of gravity
$E_{\rm G} = 0.43\pm0.10$ in agreement with $\Lambda$CDM-GR predictions of
$E_{\rm G} = 0.40$. This analysis reveals that RSD efficiently decreases the
GGL uncertainty on $\Omega_{\rm m}$ by a factor of 4, and by 30\% on
$\sigma_8$. We use an N-body simulation supplemented by an abundance matching
prescription for CMASS to build a set of overlapping lensing and clustering
mocks. Together with additional spectroscopic data, this helps us to quantify
and correct several systematic errors, such as photometric redshifts. We make
our mock catalogues available on the Skies and Universe database.
