Astronomy and Astrophysics – Astrophysics
Scientific paper
2003-05-12
Astrophys.J. 634 (2005) 14-19
Astronomy and Astrophysics
Astrophysics
13 pages, 2 figures, a paper describing cubic (bispectrum) statistics used for Gaussianity tests of the WMAP data (Komatsu et
Scientific paper
10.1086/491724
We derive a fast way for measuring primordial non-Gaussianity in a nearly full-sky map of the cosmic microwave background. We find a cubic combination of sky maps combining bispectrum configurations to capture a quadratic term in primordial fluctuations. Our method takes only N^1.5 operations rather than N^2.5 of the bispectrum analysis (1000 times faster for l=512), retaining the same sensitivity. A key component is a map of underlying primordial fluctuations, which can be more sensitive to the primordial non-Gaussianity than a temperature map. We also derive a fast and accurate statistic for measuring non-Gaussian signals from foreground point sources. The statistic is 10^6 times faster than the full bispectrum analysis, and can be used to estimate contamination from the sources. Our algorithm has been successfully applied to the Wilkinson Microwave Anisotropy Probe sky maps by Komatsu et al. (2003).
Komatsu Eiichiro
Spergel David N.
Wandelt Benjamin D.
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