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We forecast the expected cosmological constraints from a combination ofprobes of both the universal expansion rate and matter perturbation growth, inthe form of weak lensing tomography, galaxy tomography, supernovae, and thecosmic microwave background incorporating all cross-correlations between theobservables for an extensive cosmological parameter set. We allow for non-zerocurvature and parameterize our ignorance of the early universe by allowing fora non-negligible fraction of dark energy (DE) at high redshifts. We find thatearly DE density can be constrained to 0.2% of the critical density of theuniverse with Planck combined with a ground-based LSST-like survey, whilecurvature can be constrained to 0.06%. However, these additional degrees offreedom degrade our ability to measure late-time dark energy and the sum ofneutrino masses. We find that the combination of cosmological probes can breakdegeneracies and constrain the sum of neutrino masses to 0.04 eV, present DEdensity also to 0.2% of the critical density, and the equation of state to 0.01- roughly a factor of two degradation in the constraints overall compared tothe case without allowing for early DE. The constraints for a space-basedmission are similar. Even a modest 1% dark energy fraction of the criticaldensity at high redshift, if not accounted for in future analyses, biases thecosmological parameters by up to 2 sigma. Our analysis suggests that throwingout nonlinear scales (multipoles > 1000) may not result in significantdegradation in future parameter measurements when multiple cosmological probesare combined. We find that including cross-correlations between the differentprobes can result in improved constraints by up to a factor of 2 for the sum ofneutrino masses and early dark energy density.

Dark Energy and Neutrino Masses from Future Measurements of the Expansion History and Growth of Structure