| We present techniques for obtaining precision distance measurements using the baryon acoustic oscillations (BAO) through controlling systematics and reducing statistical uncertainties. Using the resulting distance-redshift relation, we can infer cosmological parameters such as w, the equation of state of dark energy.;We introduce a new statistic, oℓ(r s), for BAO analysis that affords better control over systematics. It is computed by band-filtering the power spectrum P( k) or the correlation function xi(r) to extract the BAO signal. This is conducive to several favourable outcomes. We compute o l(rs) from 44 simulations and compare the results to P(k) and xi(r). We find that the acoustic scales and theoretical errors we measure are consistent between all three statistics.;We demonstrate the first application of reconstruction to a galaxy redshift survey. Reconstruction is designed to partially undo the effects of non-linear structure growth on the BAO, allowing more precise measurements of the acoustic scale. We also present a new method for deriving a smooth covariance matrix based on a Gaussian model. In addition, we develop and perform detailed robustness tests on the xi(r) model we employ to extract the BAO scale from the data. Using these methods, we obtain spherically-averaged distances to z = 0.35 and z = 0.57 from SDSS DR7 and DR9 with 1.9% and 1.7% precision respectively. Combined with WMAP7 CMB observations, SNLS3 data and BAO measurements from 6dF, we measure w = -1.08 +/- 0.08 assuming a wCDM cosmology. This represents a ∼8% measurement of w and is consistent with a cosmological constant.;The preceding does not capture the expansion history of the universe, H(z), encoded in the line-of-sight distance scale. To disentangle H(z), we exploit the anisotropic BAO signal that arises if we assume the wrong cosmology when calculating the clustering distribution. Since we expect the BAO signal to be isotropic, we can use the magnitude of the anisotropy to separately measure H(z) and DA( z). We apply our simple models to SDSS DR7 data and obtain a ∼3.6% measurement of DA(z = 0.35) and a ∼8.4% measurement of H(z = 0.35). |
