The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Measuring H(z) and D_A(z) at z = 0.57 with Clustering Wedges

TL;DR

This paper introduces a new clustering wedge technique to analyze galaxy data from SDSS-III BOSS, measuring cosmic expansion and distance at redshift 0.57 with high precision and robustness, and forecasts improvements with future data.

Contribution

The paper presents the first application of clustering wedges to galaxy correlation functions, providing model-independent measurements of H(z) and D_A(z) with high significance.

Findings

Detected baryonic acoustic feature at 4.7 sigma significance.

Measured H(0.57) = 90.8 +- 6.2 km/s/Mpc and D_A(0.57) = 1386 +- 45 Mpc.

Forecasted 30% improvement in constraints with future data and reconstruction.

Abstract

We analyze the 2D correlation function of the SDSS-III Baryon Oscillation Spectroscopic Survey (BOSS) CMASS sample of massive galaxies of the ninth data release to measure cosmic expansion H and the angular diameter distance D_A at a mean redshift of <z> = 0.57. We apply, for the first time, a new correlation function technique called clustering wedges. Using a physically motivated model, the anisotropic baryonic acoustic feature in the galaxy sample is detected at a significance level of 4.7 sigma compared to a featureless model. The baryonic acoustic feature is used to obtain model independent constraints cz/H/r_s = 12.28 +- 0.82 (6.7 per-cent accuracy) and D_A/r_s = 9.05 +- 0.27 (3.0 per-cent) with a correlation coefficient of -0.5, where r_s is the sound horizon scale at the end of the baryonic drag era. We conduct thorough tests on the data and 600 simulated realizations, finding robustness of the results regardless of the details of the analysis method. Combining with r_s constraints from the Cosmic Microwave Background we obtain H(0.57) = 90.8 +- 6.2 kms-1Mpc-1 and D_A(0.57) = 1386 +- 45 Mpc. We use simulations to forecast results of the final BOSS CMASS data set. We apply the reconstruction technique on the simulations demonstrating that the sharpening of the anisotropic baryonic acoustic feature should improve the detection as well as tighten constraints of H and D_A by 30 per-cent on average.