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We present a phenomenological investigation of non-Gaussian effects thatcould be seen on CMB temperature maps. Explicit expressions for the temperaturecorrelation functions are given for different types of primordial modecouplings. We argue that a simplified description of the radial transferfunction for the temperature anisotropies allows to get insights into thegeneral properties of the bi and tri-spectra. The accuracy of these results isexplored together with the use of the small scale approximation to get explicitexpressions of high order spectra. The bi-spectrum is found to have alternatesigns for the successive acoustic peaks. Sign patterns for the trispectra aremore complicated and depend specifically on the type of metric couplings. Localprimordial couplings are found to give patterns that are different from thoseexpected from weak lensing effects.

Shape of high order correlation functions in CMB anisotropy maps