Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published July 2003 | Submitted + Published
Journal Article Open

The trispectrum of the cosmic microwave background on subdegree angular scales: an analysis of the BOOMERanG data


The trispectrum of the cosmic microwave background can be used to assess the level of non-Gaussianity on cosmological scales. It probes the fourth-order moment, as a function of angular scale, of the probability distribution function of fluctuations and has been shown to be sensitive to primordial non-Gaussianity, secondary anisotropies (such as the Ostriker–Vishniac effect) and systematic effects (such as astrophysical foregrounds). In this paper we develop a formalism for estimating the trispectrum from high-resolution sky maps that incorporates the impact of finite sky coverage. This leads to a series of operations applied to the data set to minimize the effects of contamination due to the Gaussian component and correlations between estimates at different scales. To illustrate the effect of the estimation process, we apply our procedure to the BOOMERanG data set and show that it is consistent with Gaussianity. This work presents the first estimation of the cosmic microwave background trispectrum on subdegree scales.

Additional Information

© 2003 RAS. Accepted 2003 March 27. Received 2003 March 26; in original form 2003 January 20. Published: 21 July 2003. GDT acknowledges financial support from the Dottorato in Astronomia dell'Università La Sapienza and from a Marie Curie pre-doctoral fellowship. MK acknowledges financial support from the Swiss National Science foundation. PGF acknowledges the support of the Royal Society. The BOOMERanG project has been supported by Programma Nazionale di Ricerche in Antartide, Universitá di Roma 'La Sapienza', and Agenzia Spaziale Italiana in Italy, by NASA and by NSF OPP in the US. We acknowledge the use of the HEALPix package and of the Oxford Beowulf cluster for our computations. We thank Andrew Jaffe and Alessandro Melchiorri for their helpful comments and Jonathan Patterson for his help.

Attached Files

Published - 343-1-284.pdf

Submitted - 0301294.pdf


Files (1.1 MB)
Name Size Download all
554.4 kB Preview Download
499.6 kB Preview Download

Additional details

August 19, 2023
October 19, 2023