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

December 2014 • 2014MNRAS.445.3737H

Authors • Hemantha, Maddumage Don P. • Wang, Yun • Chuang, Chia-Hsun

Abstract • We present a method to measure the Hubble parameter H(z) and the angular diameter distance D_A(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 ± 3.8 km s^-1 Mpc^-1, D_A(z = 0.35) = 1035 ± 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_s(z_d)/c = 0.0421 ± 0.0018 and D_A(0.35)/r_s(z_d) = 6.50 ± 0.25. These are in excellent agreement with similar measurements from the two-dimensional correlation function of the same data.

Links

• PREPRINT http://arxiv.org/abs/1310.6468
• ELECTR https://doi.org/10.1093%2Fmnras%2Fstu1997