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arxiv: 1410.5114 · v3 · pith:SS2PPCJDnew · submitted 2014-10-19 · 🌌 astro-ph.CO

Combining power spectrum and bispectrum measurements to detect oscillatory features

classification 🌌 astro-ph.CO
keywords featuresmodelsamplitudebispectrumcombineddetectestimatesfeature
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The simplest inflationary models present us with few observable parameters to discriminate between them. A detection of features in the spectra of primordial density perturbations could provide valuable insights and lead to stringent tests of models of the early Universe. So far, searches for oscillatory features have not produced statistically significant results. In this work we consider a combined search for features in the power spectrum and bispectrum. We show that possible dependencies between the estimates of feature model amplitudes based on the two- and three-point correlators are largely statistically independent under the assumption of the null hypothesis of a nearly Gaussian featureless CMB. Building on this conclusion we propose an optimal amplitude estimator for a combined search and study the look-elsewhere effect in feature model surveys. In particular we construct analytic models for the distribution of amplitude estimates that allow for a reliable assessment of the significance of potential findings. We also propose a well-behaved integrated statistic that is designed to detect evidence for models exhibiting features at multiple frequencies.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Searching for primordial features with radio surveys: synergy between the power spectrum and bispectrum

    astro-ph.CO 2026-06 unverdicted novelty 5.0

    Joint power spectrum and bispectrum analysis from future HI intensity mapping surveys improves constraints on primordial feature amplitudes by 30-40% and achieves percent-level precision on oscillation frequencies whe...