PT challenge: Validation of ShapeFit on large-volume, high-resolution
  mocks
  The ShapeFit compression method has been shown to be a powerful tool to gain
cosmological information from galaxy power spectra in an effective,
model-independent way. Here we present its performance on the blind PT
challenge mock products presented in [1]. Choosing a set-up similar to that of
other participants to the blind challenge we obtained $\Delta \ln\left(10^{10}
A_s\right) = -0.018 \pm 0.014$, $\Delta \Omega_\mathrm{m} = 0.0039 \pm 0.0021$
and $\Delta h =-0.0009 \pm 0.0034$, remaining below $2\sigma$ deviations for a
volume of $566 \left[ h^{-1}\mathrm{Gpc}\right]^3$. This corresponds to a
volume 10 times larger than the volume probed by future galaxy surveys. We also
present an analysis of these mocks oriented towards an actual data analysis
using the full redshift evolution, using all three redshift bins $z_1 = 0.38$,
$z_2=0.51$, and $z_3 = 0.61$, and exploring different set-ups to quantify the
impact of choices or assumptions on noise, bias, scale range, etc. We find
consistency across reasonable changes in set-up and across redshifts and that,
as expected, mapping the redshift evolution of clustering helps constraining
cosmological parameters within a given model.
