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

De Troia, G. and Ade, P. A. R. and Bock, J. J. and Bond, J. R. and Boscaleri, A. and Contaldi, C. R. and Crill, B. P. and de Bernardis, P. and Ferreira, P. G. and Giacometti, M. and Hivon, E. and Hristov, V. V. and Kunz, M. and Lange, A. E. and Masi, S. and Mauskopf, P. D. and Montroy, T. and Natoli, P. and Netterfield, C. B. and Pascale, E. and Piacentini, F. and Polenta, G. and Romeo, G. and Ruhl, J. E. (2003) The trispectrum of the cosmic microwave background on subdegree angular scales: an analysis of the BOOMERanG data. Monthly Notices of the Royal Astronomical Society, 343 (1). pp. 284-292. ISSN 0035-8711. https://resolver.caltech.edu/CaltechAUTHORS:20200130-080407664

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Abstract

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1046/j.1365-8711.2003.06665.xDOIArticle
https://arxiv.org/abs/astro-ph/0301294arXivDiscussion Paper
ORCID:
AuthorORCID
Ade, P. A. R.0000-0002-5127-0401
Bock, J. J.0000-0002-5710-5212
Crill, B. P.0000-0002-4650-8518
de Bernardis, P.0000-0001-6547-6446
Masi, S.0000-0001-5105-1439
Mauskopf, P. D.0000-0001-6397-5516
Pascale, E.0000-0002-3242-8154
Piacentini, F.0000-0002-5444-9327
Alternate Title:The trispectrum of the Cosmic Microwave Background on sub-degree angular scales: an analysis of the BOOMERanG data
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.
Group:Infrared Processing and Analysis Center (IPAC)
Funders:
Funding AgencyGrant Number
Dottorato in Astronomia dell'Università La SapienzaUNSPECIFIED
Marie Curie FellowshipUNSPECIFIED
Swiss National Science Foundation (SNSF)UNSPECIFIED
Royal SocietyUNSPECIFIED
Programma Nazionale di Ricerche in Antartide (PNRA)UNSPECIFIED
Universitá di Roma La SapienzaUNSPECIFIED
Agenzia Spaziale Italiana (ASI)UNSPECIFIED
NASAUNSPECIFIED
NSFUNSPECIFIED
Subject Keywords:methods: statistical – cosmic microwave background
Issue or Number:1
Record Number:CaltechAUTHORS:20200130-080407664
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200130-080407664
Official Citation:G. de Troia, P. A. R. Ade, J. J. Bock, J. R. Bond, A. Boscaleri, C. R. Contaldi, B. P. Crill, P. de Bernardis, P. G. Ferreira, M. Giacometti, E. Hivon, V. V. Hristov, M. Kunz, A. E. Lange, S. Masi, P. D. Mauskopf, T. Montroy, P. Natoli, C. B. Netterfield, E. Pascale, F. Piacentini, G. Polenta, G. Romeo, J. E. Ruhl, The trispectrum of the cosmic microwave background on subdegree angular scales: an analysis of the BOOMERanG data, Monthly Notices of the Royal Astronomical Society, Volume 343, Issue 1, July 2003, Pages 284–292, https://doi.org/10.1046/j.1365-8711.2003.06665.x
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100999
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:30 Jan 2020 19:12
Last Modified:09 Mar 2020 13:19

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