On the optimality of the spherical Mexican hat wavelet estimator for the primordial non-Gaussianity

Understand

We study the spherical Mexican hat wavelet (SMHW) as a detector of primordial non-Gaussianity of the local type on the Cosmic Microwave Background (CMB) anisotropies.

• For this purpose we define third order statistics based on the wavelet coefficient maps and the original map.
• We find the dependence of these statistics in terms of the non-linear coupling parameter fnl and the bispectrum of this type of non-Gaussianity.
• We compare the analytical values for these statistics with the results obtained with non-Gaussian simulations for an ideal full-sky CMB experiment without noise.