Measuring Baryon Acoustic Oscillations with Angular Two-Point Correlation Function

Abstract

The Baryon Acoustic Oscillations (BAO) imprinted a characteristic correlation length in the large-scale structure of the universe that can be used as a standard ruler for mapping out the cosmic expansion history. Here, we discuss the application of the angular two-point correlation function, (Formula Presented), to a sample of luminous red galaxies of the Sloan Digital Sky Survey (SDSS) and derive two new measurements of the BAO angular scale at z = 0.235 and z = 0.365. Since noise and systematics may hinder the identification of the BAO signature in the (Formula Presented) plane, we also introduce a potential new method to localize the acoustic bump in a model-independent way. We use these new measurements along with previous data to constrain cosmological parameters of dark energy models and to derive a new estimate of the acoustic scale r:s.