Peaks in the CMB-sensitively testing the gaussian hypothesis

Details Peaks in the CMB-sensitively testing the gaussian hypothesis Peaks in the CMB-sensitively testing the gaussian hypothesis

Feb 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001aipc..555..337g&link_type=abstract

Cosmology and Particle Physics: CAPP 2000. AIP Conference Proceedings, Volume 555, pp. 337-340 (2001).

Physics

Background Radiations, Mathematical Procedures And Computer Techniques, Observational Cosmology

Scientific paper

Presently the most popular early Universe theories are based on inflation or topological defects. Inflationary theories have been developed more, providing predictions for cosmic microwave background (CMB) fluctuations, dependent on 10 or more cosmological parameters. Almost all of the inflationary models, differ from the defect models in that they predict a nearly scale-invariant spectrum of density perturbations which produce a microwave background temperature map which is very close to being a random gaussian field. Therefore a test of gaussian fluctuations in the CMB is a possible discriminant between the two models. We have used the form of the probability distribution function of the peaks of a gaussian random field distributed over sphere, and computed exactly the correlation function for points of the CMB sky separated by arbitrary angles, thus generalising the small-angle correlations of Heavens and Sheth (1999). The technique we have developed provides a sensitive and exact test of the gaussian hypothesis. This is a vital first step before the new high quality CMB observations can be used to fit the various unknown cosmological parameters. .

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