Lensing corrections to the $E_g(z)$ statistics from large scale
  structure
  We study the impact of the often neglected lensing contribution to galaxy
number counts on the $E_g$ statistics which is used to constrain deviations
from GR. This contribution affects both the galaxy-galaxy and the
convergence-galaxy spectra, while it is larger for the latter. At higher
redshifts probed by upcoming surveys, neglecting this term induces a
substantial error in the spectra and therefore on the $E_g$ statistics which is
constructed from the combination of the two. Moreover, including it, renders
the $E_g$ statistics scale and bias-dependent and hence puts into question its
very objective.
