期刊
PHYSICAL REVIEW D
卷 88, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.88.043012
关键词
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资金
- Foundational Questions Institute (FQXi) Fund
- Silicon Valley Community Foundation [FQXi-RFP3-1015]
- Perren Fund
- STFC
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research and Innovation
- Newton International Fellowship from the Royal Society
- British Academy
- Leverhulme Early Career Fellowship from the Leverhulme Trust
- Leverhulme Trust
- NASA Office of Space Science
- Science and Technology Facilities Council [ST/K001051/1] Funding Source: researchfish
- STFC [ST/I000879/1, ST/J001511/1, ST/K001051/1] Funding Source: UKRI
A number of theoretically well-motivated additions to the standard cosmological model predict weak signatures in the form of spatially localized sources embedded in the cosmic microwave background (CMB) fluctuations. We present a hierarchical Bayesian statistical formalism and a complete data analysis pipeline for testing such scenarios. We derive an accurate approximation to the full posterior probability distribution over the parameters defining any theory that predicts sources embedded in the CMB, and perform an extensive set of tests in order to establish its validity. The approximation is implemented using a modular algorithm, designed to avoid a posteriori selection effects, which combines a candidate-detection stage with a full Bayesian model-selection and parameter-estimation analysis. We apply this pipeline to theories that predict cosmic textures and bubble collisions, extending previous analyses by using: (1) adaptive-resolution techniques, allowing us to probe features of arbitrary size, and (2) optimal filters, which provide the best possible sensitivity for detecting candidate signatures. We conclude that the WMAP 7-year data do not favor the addition of either cosmic textures or bubble collisions to Lambda CDM, and place robust constraints on the predicted number of such sources. The expected numbers of bubble collisions and cosmic textures on the CMB sky within our detection thresholds are constrained to be fewer than 4.0 and 5.2 at 95% confidence, respectively.
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