Cosmic Complementarity: ITALH/ITALTINF0/TINF and ΩTINFCLCITALm/ITAL/CLC/TINF from Combining Cosmic Microwave Background Experiments and Redshift Surveys

We show that upcoming CMB satellite experiments and large redshift surveys can be used together to yield 5% determinations of H₀ and Omegaₘ, an order of magnitude improvement over CMB data alone. CMB anisotropies provide the sound horizon at recombination as a standard ruler. For reasonable baryon fractions, this scale is imprinted on the galaxy power spectrum as a series of spectral features. Measuring these features in redshift space determines the Hubble constant, which in turn yields Omegaₘ once combined with CMB data. Since the oscillations in both power spectra are frozen in at recombination, this test is insensitive to low-redshift cosmology.