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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 Komatsu Spergel Wandelt (KSW) estimator for oscillations in the cosmic microwave background bispectrum, that examines 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 three-point function in real space gives further insight into the estimator.
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Moritz Münchmeyer, François Bouchet, Mark G. Jackson, Benjamin Wandelt. The Komatsu Spergel Wandelt estimator for oscillations in the cosmic microwave background bispectrum. Astronomy & Astrophysics, 2014, 570, ⟨10.1051/0004-6361/201424179⟩. ⟨insu-03645309⟩

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