Neutrino physics from future weak lensing surveys
  Given recent indications of additional neutrino species and cosmologically
significant neutrino masses, we analyze their signatures in the weak lensing
shear power spectrum. We find that a shear deficit in the 20-40% range or
excess in the 20-60% range cannot be explained by variations in parameters of
the flat LambdaCDM model that are allowed by current observations of the
expansion history from Type Ia supernovae, baryon acoustic oscillations, and
local measures of the Hubble constant H_0, coupled with observations of the
cosmic microwave background from WMAP9 and the SPT 2500 square degree survey.
Hence such a shear deficit or excess would indicate large masses or extra
species, respectively, and we find this to be independent of the flatness
assumption. We also discuss the robustness of these predictions to cosmic
acceleration physics and the means by which shear degeneracies in joint
variation of mass and species can be broken.
