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The Komatsu Spergel Wandelt estimator for oscillations in the cosmic microwave background bispectrum
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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.
Forward citations
Cited by 3 Pith papers
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Primordial Physics in the Nonlinear Universe: Revealing the oscillating halo bias from cosmological collider models
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.
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Searching for Inflationary Physics with the CMB Trispectrum: 2. Code & Validation
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.
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Searching for Inflationary Physics with the CMB Trispectrum: 1. Primordial Theory & Optimal Estimators
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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