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The Komatsu Spergel Wandelt estimator for oscillations in the cosmic microwave background bispectrum

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arxiv 1405.2550 v2 pith:7IMP3SAA submitted 2014-05-11 astro-ph.CO

classification astro-ph.CO
keywords bispectrumestimatoroscillatingshapesfrequencyoscillationsallowsamplitude
verification ladder T0 review T1 audit T2 compute T3 formal
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Oscillating shapes of the primordial bispectrum are present in many inflationary models. The Planck experiment has recently published measurements of oscillating shapes, which were however limited to the efficient frequency range of the used analysis method. Here we study the KSW estimator for oscillations in the CMB bispectrum, that allows to examine arbitrary oscillation frequencies for separable oscillating bispectrum shapes. We study the precision with which amplitude, phase and frequency can be determined with our estimator. An examination of the 3-point function in real space gives further insight into the estimator.

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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. Primordial Physics in the Nonlinear Universe: Revealing the oscillating halo bias from cosmological collider models

    astro-ph.CO 2026-07 accept novelty 7.0 of 10

    A binning-based IC method yields the first N-body measurements of oscillating halo bias from cosmological collider bispectra, with mass- and assembly-dependent phases fit by peak-background-split theory.

  2. 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.

  3. 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.

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