Measurement of H(z) and D^sub A^(z) from the two-dimensional power spectrum of Sloan Digital Sky Survey luminous red galaxies

We present a method to measure the Hubble parameter H(z) and the angular diameter distance D...(z) simultaneously from the two-dimensional matter power spectrum from galaxy surveys with broad sky coverage. We validate this method by applying it to the LasDamas mock galaxy catalogues. Then we apply this method to Sloan Digital Sky Survey Data Release 7 and obtain measurements of H(z = 0.35) = 80.9 plus or minus 3.8 km s... Mpc..., D...(z = 0.35) = 1035 plus or minus 44 Mpc, without assuming a specific dark energy model (but assuming that early dark energy and dark energy clustering are negligible) or a flat Universe. We also find that the derived parameters H(0.35)r...(z...)/c = 0.0421 plus or minus 0.0018 and D...(0.35)/r...(z...) = 6.50 plus or minus 0.25. These are in excellent agreement with similar measurements from the two-dimensional correlation function of the same data. (ProQuest: ... denotes formulae/symbols omitted.)