Preprint typeset using LATEX style emulateapj v. 5/2/11 CLUSTERING OF SLOAN DIGITAL SKY SURVEY III PHOTOMETRIC LUMINOUS GALAXIES: THE MEASUREMENT, SYSTEMATICS AND COSMOLOGICAL IMPLICATIONS

The Sloan Digital Sky Survey (SDSS) surveyed 14,555 square degrees, and delivered over a trillion pixels of imaging data. We present a study of galaxy clustering using 900,000 luminous galaxies with photometric redshifts, spanning between z = 0.45 and z = 0.65, constructed from the SDSS using methods described in Ross et al. (2011). This data-set spans 11,000 square degrees and probes a volume of 3h−3Gpc3, making it the largest volume ever used for galaxy clustering measurements. We describe in detail the construction of the survey window function and various systematics affecting our measurement. With such a large volume, high precision cosmological constraints can be obtained given a careful control and understanding of the observational systematics. We present a novel treatment of the observational systematics and its applications to the clustering signals from the data set. In this paper, we measure the angular clustering using an optimal quadratic estimator at 4 redshift slices with an accuracy of ∼ 15 % with bin size of δl = 10 on scales of the Baryon Acoustic Oscillations (BAO) (at ` ∼ 40 − 400). We also apply corrections to the power-spectra due to systematics, and derive cosmological constraints using the full-shape of the power-spectra. For a flat ΛCDM model, whe