Astronomy and Astrophysics – Astrophysics
Scientific paper
2008-02-25
Mon.Not.Roy.Astron.Soc.389:1439-1446,2008
Astronomy and Astrophysics
Astrophysics
9 pages, 4 figures, accpeted for publication in MNRAS
Scientific paper
10.1111/j.1365-2966.2008.13674.x
We present an analysis of the Minkowski Functionals (MFs) describing the WMAP three-year temperature maps to place limits on possible levels of primordial non-Gaussianity. In particular, we apply perturbative formulae for the MFs to give constraints on the usual non-linear coupling constant fNL. The theoretical predictions are found to agree with the MFs of simulated CMB maps including the full effects of radiative transfer. The agreement is also very good even when the simulation maps include various observational artifacts, including the pixel window function, beam smearing, inhomogeneous noise and the survey mask. We find accordingly that these analytical formulae can be applied directly to observational measurements of fNL without relying on non-Gaussian simulations. Considering the bin-to-bin covariance of the MFs in WMAP in a chi-square analysis, we find that the primordial non-Gaussianity parameter is constrained to lie in the range -70
Coles Peter
Hansen Frode K.
Hikage Chiaki
Liguori Michele
Matarrese Sabino
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