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Multiple Methods for Estimating the Bispectrum of the Cosmic Microwave Background with Application to the MAXIMA Data

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arxiv astro-ph/0211123 v1 pith:KH54QEIR submitted 2002-11-06 astro-ph

M. G. Santos , A. Heavens , A. Balbi , J. Borrill , P. G. Ferreira , S. Hanany , A. H. Jaffe , A. T. Lee
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B. Rabii P. L. Richards G. F. Smoot R. Stompor C. D. Winant J. H. P. Wu
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classification astro-ph
keywords estimatormethodsnon-gaussianityapplicationbackgroundbispectrumcosmicdata
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abstract

We describe different methods for estimating the bispectrum of Cosmic Microwave Background data. In particular we construct a minimum variance estimator for the flat-sky limit and compare results with previously-studied frequentist methods. Application to the MAXIMA dataset shows consistency with primordial Gaussianity. Weak quadratic non-Gaussianity is characterised by a tunable parameter $f_{NL}$, corresponding to non-Gaussianity at a level $\sim 10^{-5}f_{NL}$ (ratio of non-Gaussian to Gaussian terms), and we find limits of $|f_{NL}|<950$ for the minimum-variance estimator and $|f_{NL}|<1650$ for the usual frequentist estimator. These are the tightest limits on primordial non-Gaussianity which include the full effects of the radiation transfer function.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Searching for Inflationary Physics with the CMB Trispectrum: 2. Code & Validation

    astro-ph.CO 2025-02 conditional novelty 7.0 of 10

    PolySpec is a public, validated suite of near-optimal quartic estimators that lets the CMB four-point function probe many inflationary models beyond local non-Gaussianity.

  2. Searching for Inflationary Physics with the CMB Trispectrum: 1. Primordial Theory & Optimal Estimators

    astro-ph.CO 2025-02 conditional novelty 7.0 of 10

    A set of quasi-optimal CMB trispectrum estimators is derived for local, EFT, direction-dependent, spinning-particle, point-source, and lensing templates, enabling first collider searches.

  3. Searching for Inflationary Physics with the CMB Trispectrum: 3. Constraints from Planck

    astro-ph.CO 2025-02 accept novelty 6.0 of 10

    A comprehensive Planck PR4 trispectrum analysis finds no primordial non-Gaussianity across 33 templates and sets leading constraints, including tau_NL loc < 1500 at 95% CL.

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