The Three-Point Correlation Function of Galactic Dust: Implications for Microwave Background non-Gaussianity

Details The Three-Point Correlation Function of Galactic Dust: Implications for Microwave Background non-Gaussianity The Three-Point Correlation Function of Galactic Dust: Implications for Microwave Background non-Gaussianity

May 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004aas...204.4202m&link_type=abstract

American Astronomical Society Meeting 204, #42.02; Bulletin of the American Astronomical Society, Vol. 36, p.727

Statistics

Scientific paper

A major question regarding temperature fluctuations in the cosmic microwave background (CMB) is whether or not they obey Gaussian statistics (i.e., whether they contain any additional information beyond that contained in the power spectrum). Inflation theory predicts that the CMB is Gaussian; future experiments will test this prediction. Dust contamination will likely be a problem for these tests, and could bias the results, as dust is known to be highly non-Gaussian. The three-point correlation function is one method of testing for non-Gaussianity, and it does not appear to be strongly affected by low levels of dust contamination. We calculate the three-point function for simulated sky maps containing mixtures of Gaussian CMB fluctuations and dust, and use a chi-squared statistic to determine whether the maps can be distinguished from purely Gaussian maps. The three-point function distinguishes between Gaussian and non-Gaussian maps over 90% of the time for pure dust maps and about 40% of the time for maps consisting of 25% dust and 75% Gaussian structure.

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