Journal Article

Lifting the degeneracy between geometric and dynamic distortions using the sound horizon from the cosmic microwave background

Adam J. Hawken, Fillipe B. Abdalla, Gert Hütsi and Ofer Lahav

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 424, issue 1, pages 2-10
Published in print July 2012 | ISSN: 0035-8711
Published online July 2012 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2012.20540.x
Lifting the degeneracy between geometric and dynamic distortions using the sound horizon from the cosmic microwave background

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The degeneracy between geometric (Alcock–Paczynski) and dynamic (redshift-space) distortions in the pattern of the galaxy distribution has been a long-standing problem in the study of the large-scale structure of the Universe. We examine the possibility of lifting this degeneracy and constraining cosmological parameters by using the baryon acoustic oscillation (BAO) scale as a feature of known physical size, the sound horizon rs≈ 150 Mpc. We calibrate this scale with the equivalent feature in the cosmic microwave background (CMB). First, we construct a toy model of a power spectrum which includes the BAO as well as geometric and dynamic distortions. By adding a prior on to the sound horizon of ∼1 per cent we show, using a Fisher matrix analysis, that error ellipses for line-of-sight and tangential distortion parameters shrink by a factor of 2 for a 20 (h−1 Gpc)3‘DESpec/BigBOSS’-like galaxy survey including shot noise. This improvement is even more marked in smaller surveys. We also carry out a Monte Carlo nested sampling analysis on our parameter space. We find that Monte Carlo and Fisher methods can agree reasonably well for surveys with large volume but differ greatly for small volume surveys.

Keywords: cosmological parameters; distance scale; large-scale structure of Universe

Journal Article.  6730 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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