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Systematic effects in the sound horizon scale measurements | | Jacek Guzik
; Gary Bernstein
; | | Date: |
23 May 2006 | | Abstract: | We investigate three potential sources of bias in distance estimations made using baryon acoustic oscillations (BAO) as a standard ruler: non-linear evolution of structure; scale-dependent bias; and errors in survey window function estimation. Calculation of bias requires one to specify the procedure by which the acoustic scale is extracted from galaxy survey data, and we investigate a very simple, model-independent estimator, namely the location of the peak of the real-space correlation function. We first show that this simple estimator has a variance that is not far from optimal, if appropriate low-pass filtering is applied to the density field. Non-linear structure growth using the Smith et al. (2003) prescription biases the acoustic scale by <0.3% at z>1 under the correlation-function estimator. The biases due to representative but simplistic models of scale-dependent galaxy bias are below 1% at z>1 for bias behaviour in the realms suggested by halo model calculations, which is expected to be below statistical errors for a 1000 sq.degs. spectroscopic survey. The distance bias due to a survey window function errors is given in a simple closed form and it is shown it has to be kept below 2% not to bias acoustic scale more than 1% at z=1, although the actual tolerance can be larger depending upon galaxy bias. These biases are comparable to statistical errors for ambitious surveys if no correction is made for them. | | Source: | arXiv, astro-ph/0605594 | | Services: | Forum | Review | PDF | Favorites | |
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