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The Cosmic Microwave Background Bispectrum and Inflation

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arxiv astro-ph/9907431 v1 pith:WORTRZUI submitted 1999-07-29 astro-ph

Limin Wang , Marc Kamionkowski This is my paper · ORCID
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keywords inflationvalueaccountappendixbackgroundbispectrabispectrumcalculation
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abstract

We derive an expression for the non-Gaussian cosmic-microwave-background (CMB) statistic $I_l^3$ defined recently by Ferreira, Magueijo, and G\'orski in terms of the slow-roll-inflation parameters $\epsilon$ and $\eta$. This result shows that a nonzero value of $I_l^3$ in COBE would rule out single-field slow-roll inflation. A sharp change in the slope of the inflaton potential could increase the predicted value of $I_l^3$, but not significantly. This further suggests that it will be difficult to account for such a detection in multiple-field models in which density perturbations are produced by quantum fluctuations in the scalar field driving inflation. An Appendix shows how to evaluate an integral that is needed in our calculation as well as in more general calculations of CMB bispectra.

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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. Inflationary trispectrum of gauge fields from scalar and tensor exchanges

    hep-th 2025-09 conditional novelty 6.0 of 10

    The inflationary trispectrum of gauge fields from scalar and tensor exchanges is derived analytically, yielding beta^zeta_nl = (b^zeta_nl)^2 in the counter-collinear limit and growing flattened-limit signals.

  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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