Parameter estimation biases due to contributions from the Rees-Sciama effect to the integrated Sachs-Wolfe spectrum
| Autor: | Schaefer, Bjoern Malte, Kalovidouris, Angelos Fotios, Heisenberg, Lavinia |
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| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | MNRAS 416, 1302-1310 (2011) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1111/j.1365-2966.2011.19125.x |
| Popis: | The subject of this paper is an investigation of the nonlinear contributions to the spectrum of the integrated Sachs-Wolfe (iSW) effect. We derive the corrections to the iSW-auto spectrum and the iSW-tracer cross-spectrum consistently to third order in perturbation theory and analyse the cumulative signal-to-noise ratio for a cross-correlation between the PLANCK and EUCLID data sets as a function of multipole order. We quantify the parameter sensitivity and the statistical error bounds on the cosmological parameters Omega_m, sigma_8, h, n_s and w from the linear iSW-effect and the systematical parameter estimation bias due to the nonlinear corrections in a Fisher-formalism, analysing the error budget in its dependence on multipole order. Our results include: (i) the spectrum of the nonlinear iSW-effect can be measured with 0.8\sigma statistical significance, (ii) nonlinear corrections dominate the spectrum starting from l=100, (iii) an anticorrelation of the CMB temperature with tracer density on high multipoles in the nonlinear regime, (iv) a much weaker dependence of the nonlinear effect on the dark energy model compared to the linear iSW-effect, (v) parameter estimation biases amount to less than 0.1 sigma and weaker than other systematics. Comment: 9 pages, 8 figures, submitted to MNRAS |
| Databáze: | arXiv |
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