Future cosmological measurements should enable the sum of neutrino masses to be determined indirectly through their effects on the expansion rate of the Universe and the clustering of matter. We consider prospects for the gravitationally lensed cosmic microwave background (CMB) anisotropies and baryon acoustic oscillations (BAOs) in the galaxy distribution, examining how the projected uncertainty of \ensuremath15  meV\ensuremath{\approx}15\text{ }\text{ }\mathrm{meV} on the neutrino mass sum (a $4\ensuremath{\s