Astronomy and Astrophysics – Astrophysics
Scientific paper
2003-02-11
Phys.Rev.D67:123004,2003
Astronomy and Astrophysics
Astrophysics
15 pages, 6 figures, submitted to Phys. Rev. D
Scientific paper
10.1103/PhysRevD.67.123004
In (Hansen et al. 2002) we presented a new approach for measuring non-Gaussianity of the Cosmic Microwave Background (CMB) anisotropy pattern, based on the multivariate empirical distribution function of the spherical harmonics a_lm of a CMB map. The present paper builds upon the same ideas and proposes several improvements and extensions. More precisely, we exploit the additional information on the random phases of the a_lm to provide further tests based on the empirical distribution function. Also we take advantage of the effect of rotations in improving the power of our procedures. The suggested tests are implemented on physically motivated models of non-Gaussian fields; Monte-Carlo simulations suggest that this approach may be very promising in the analysis of non-Gaussianity generated by non-standard models of inflation. We address also some experimentally meaningful situations, such as the presence of instrumental noise and a galactic cut in the map.
Hansen Frode K.
Marinucci Domenico
Vittorio Nicola
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