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Trispectrum estimation in various models of equilateral type non-Gaussianity

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arxiv 1109.3746 v3 pith:AOQOI4U4 submitted 2011-09-17 astro-ph.CO hep-th

Keisuke Izumi , Shuntaro Mizuno , Kazuya Koyama This is my paper · ORCID
classification astro-ph.COhep-th
keywords modelsinflationmodeltrispectrumvariousconstraintsequilequilateral
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abstract

We calculate the shape correlations between trispectra in various equilateral non-Gaussian models, including DBI inflation, ghost inflation and Lifshitz scalars, using the full trispectrum as well as the reduced trispectum. We find that most theoretical models are distinguishable from the shapes of primordial trispectra except for several exceptions where it is difficult to discriminate between the models, such as single field DBI inflation and a Lifshitz scalar model. We introduce an estimator for the amplitude of the trispectrum, $g_{\rm NL} ^{equil}$ and relate it to model parameters in various models. Using constraints on $g_{\rm NL} ^{equil}$ from WMAP5, we give constraints on the model parameters.

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Cited by 4 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. Trispectrum in Extended USR Model with Transition to SR

    astro-ph.CO 2025-09 conditional novelty 6.0 of 10

    In the two-phase USR-SR inflation model, g_NL = 25 h^3 / (3 (h-6)^3) and tau_NL = 9 h^4 / (h-6)^4, confirmed by both delta-N and in-in formalisms.

  4. 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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