Probing CMB Non-Gaussianity Using Local Curvature

Details Probing CMB Non-Gaussianity Using Local Curvature Probing CMB Non-Gaussianity Using Local Curvature

2002-02-06

arxiv.org/abs/astro-ph/0202135v2

Mon.Not.Roy.Astron.Soc.344:905,2003

Astronomy and Astrophysics

Astrophysics

11 pages, 13 figures, submitted to MNRAS

Scientific paper

10.1046/j.1365-8711.2003.06867.x

It is possible to classify pixels of a smoothed cosmic microwave background (CMB) fluctuation map according to their local curvature in ``hill'', ``lake'' and ``saddle'' regions. In the Gaussian case, fractional areas occupied by pixels of each kind can be computed analytically for families of excursion sets as functions of threshold and moments of the fluctuation power spectrum. We show how the shape of these functions can be used to constrain accurately the level of non-Gaussianity in the data by applying these new statistics to an hypothetical mixed model suggested by Bouchet et al. (2001). According to our simple test, with only one 12.5x12.5 deg^2 map, Planck should be able to detect with a high significance a non-Gaussian level as weak as 10% in temperature standard deviation (rms) (5% in C_l), whereas a marginal detection would be possible for MAP with a non-Gaussian level around 30% in temperature (15% in C_l).

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