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The clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: including covariance matrix errors

Will J. PercivalInstitute of Cosmology and Gravitation, University of Portsmouth, Dennis Sciama Building, Portsmouth P01 3FX, UKA.J. RossInstitute of Cosmology and Gravitation, University of Portsmouth, Dennis Sciama Building, Portsmouth P01 3FX, UKAriel G. SánchezMax-Planck-Institut fur Extraterrestrische Physik, Giessenbachstrae, D-85748 Garching, GermanyLado SamushiaInstitute of Cosmology and Gravitation, University of Portsmouth, Dennis Sciama Building, Portsmouth P01 3FX, UKA. BurdenInstitute of Cosmology and Gravitation, University of Portsmouth, Dennis Sciama Building, Portsmouth P01 3FX, UKRobert CrittendenInstitute of Cosmology and Gravitation, University of Portsmouth, Dennis Sciama Building, Portsmouth P01 3FX, UKAntonio J. CuestaDepartment of Physics, Yale University, 260 Whitney Ave, New Haven, CT 06520, USAM. Vargas-MagañaBruce and Astrid McWilliams Center for Cosmology, Department of Physics, Carnegie Mellon University, 5000 Forbes Ave, Pittsburgh, PA 15213, USAMarc ManeraInstitute of Cosmology and Gravitation, University of Portsmouth, Dennis Sciama Building, Portsmouth P01 3FX, UKFlorian BeutlerLawrence Berkeley National Laboratory, One Cyclotron Road, Berkeley, CA 94720, USAChia-Hsun ChuangInstituto de Fsica Teorica, (UAM/CSIC), Universidad Autonoma de Madrid, Cantoblanco, E-28049 Madrid, SpainDaniel J. EisensteinHarvard–Smithsonian Center for Astrophysics, Harvard University, 60 Garden St, Cambridge, MA 02138, USAShirley HoBruce and Astrid McWilliams Center for Cosmology, Department of Physics, Carnegie Mellon University, 5000 Forbes Ave, Pittsburgh, PA 15213, USACameron K. McBrideHarvard–Smithsonian Center for Astrophysics, Harvard University, 60 Garden St, Cambridge, MA 02138, USAFrancesco MontesanoMax-Planck-Institut fur Extraterrestrische Physik, Giessenbachstrae, D-85748 Garching, GermanyNikhil PadmanabhanMax-Planck-Institut fur Extraterrestrische Physik, Giessenbachstrae, D-85748 Garching, GermanyBeth ReidLawrence Berkeley National Laboratory, One Cyclotron Road, Berkeley, CA 94720, USAShun SaitoKavli Institute for the Physics and Mathematics of the Universe (WPI), Todai Institutes for Advanced Study, The University of Tokyo, Chiba 277-8582, JapanDonald P. SchneiderDepartment of Astronomy and Astrophysics, The Pennsylvania State University, University Park, PA 16802, USAHee‐Jong SeoLawrence Berkeley National Laboratory, One Cyclotron Road, Berkeley, CA 94720, USARita TojeiroInstitute of Cosmology and Gravitation, University of Portsmouth, Dennis Sciama Building, Portsmouth P01 3FX, UKBenjamin A. WeaverCenter for Cosmology and Particle Physics, New York University, New York, NY 10003, USA

2014en

ABI

Аннотация

We present improved methodology for including covariance matrices in the error budget of Baryon Oscillation Spectroscopic Survey (BOSS) galaxy clustering measurements, revisiting Data Release 9 (DR9) analyses, and describing a method that is used in DR10/11 analyses presented in companion papers. The precise analysis method adopted is becoming increasingly important, due to the precision that BOSS can now reach: even using as many as 600 mock catalogues to estimate covariance of two-point clustering measurements can still lead to an increase in the errors of 20 per cent, depending on how the cosmological parameters of interest are measured. In this paper, we extend previous work on this contribution to the error budget, deriving formulae for errors measured by integrating over the likelihood, and to the distribution of recovered best-fitting parameters fitting the simulations also used to estimate the covariance matrix. Both are situations that previous analyses of BOSS have considered. We apply the formulae derived to baryon acoustic oscillation (BAO) and redshift-space distortion (RSD) measurements from BOSS in our companion papers. To further aid these analyses, we consider the optimum number of bins to use for two-point measurements using the monopole power spectrum or correlation function for BAO, and the monopole and quadrupole moments of the correlation function for anisotropic-BAO and RSD measurements.

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DOI: 10.1093/mnras/stu112

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