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

Abstract

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.

8 pages, 9 figures. Updated to match published version (A&A). References added

References in corpus (7)

• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Generation and Characterization of Large Non-Gaussianities in Single Field Inflation
• The shape of primordial non-Gaussianity and the CMB bispectrum
• Optimal limits on f_{NL}^{local} from WMAP 5-year data
• Oscillations in the inflaton potential?
• Inflation with moderately sharp features in the speed of sound: GSR and in-in formalism for power spectrum and bispectrum
• Localized correlated features in the CMB power spectrum and primordial bispectrum from a transient reduction in the speed of sound

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• Planck 2018 results. X. Constraints on inflation
• Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
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• Searching for primordial localized features with CMB and LSS spectra
• An optimal estimator for resonance bispectra in the CMB
• Combined features in the primordial spectra induced by a sudden turn in two-field DBI inflation
• Optimal CMB estimators for bispectra from excited states
• High-resolution CMB bispectrum estimator with flexible modal basis
• CMB-S4 forecast on the primordial non-Gaussianity parameter of feature models
• Looking for non-Gaussianity in all the right places: A new basis for non-separable bispectra
• Estimation of imprints of the bounce in loop quantum cosmology on the bispectra of cosmic microwave background
• Separable projection integrals for higher-order correlators of the cosmic microwave sky: Acceleration by factors exceeding 100
• Probing Inflation with Precision Bispectra
• Searching for Unparticles with the Cosmic Microwave Background