Measuring neutrino masses and dark energy with weak lensing tomography

Surveys of weak gravitational lensing of distant galaxies will be one of the key cosmological probes in the future. We study the ability of such surveys to constrain neutrino masses and the equation of state parameter of dark energy, focusing on how tomographic information can improve the sensitivity to these parameters. We also provide a detailed discussion of systematic effects pertinent to weak lensing surveys, and the possible degradation of sensitivity to cosmological parameters due to these effects. For future probes such as the Large Synoptic Survey Telescope survey, we find that, when combined with cosmic microwave background data from the Planck satellite, a sensitivity to neutrino masses of sigma(Sigma m(v)) less than or similar to 0.05 eV can be reached. These results are not affected by variations in the running of the scalar spectral index, the time-dependence of the dark energy equation of state, and/or the number of relativistic degrees of freedom.