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Limits on Second-Order Non-Gaussianity from Minkowski Functionals of WMAP Data

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arxiv 1207.1183 v2 pith:LVGQMGUL submitted 2012-07-05 astro-ph.CO

Chiaki Hikage , Takahiko Matsubara This is my paper · ORCID
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We analyze non-Gaussianity (NG) due to the primordial bispectrum and trispectrum using CMB temperature maps of WMAP 7-year data. We first apply the perturbative formulae of Minkowski functionals up to second-order NG derived by Matsubara (2010), which enable us to give limits on cubic NG parametrized with tau_NL and g_NL as well as various types of quadratic NG parametrized with f_NL. We find no signature of primordial NG in WMAP 7-year data, but give constraints on the local-type, equilateral-type, orthogonal-type f_NL: f_NL(loc)=20+-42, f_NL(eq)=-121+-208, f_NL(ort)=-129+-171, respectively, and tau_NL/10^4=-7.6+-8.7, and g_NL/10^5=-1.9+-6.4. We also find that these constraints are consistent with the limits from skewness and kurtosis parameters which characterize the perturbative corrections of MFs.

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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: 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.

  2. 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.

  3. Understanding the non-Gaussian nature of Galactic foreground emissions towards small scales

    astro-ph.CO 2026-06 unverdicted novelty 4.0 of 10

    Galactic foregrounds display a universal excess-kurtosis non-Gaussian signature stable across scales that arises from heavy-tailed one-point statistics plus steep spatial correlations.

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