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 the dark energy , focussing 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 ( \sum m _ { \nu } ) \mbox { \raisebox { 1.29 pt } { $ < $ } $ $ \raisebox { -3.87 % pt } { $ \sim$ } } 0.05 eV can be reached .
This results is robust against variations in the running of the scalar spectral index , the time-dependence of dark energy equation of state , and/or the number of relativistic degrees of freedom .