Orthogonal BipoSH measures : Scrutinizing sources of isotropy violation

Abstract

The two point correlation function of the CMB temperature anisotropies is generally assumed to be statistically isotropic (SI). Deviations from this assumption could be traced to physical or observational artefacts and systematic effects. Measurement of non-vanishing power in the BipoSH spectra is a standard statistical technique to search for isotropy violations. Although this is a neat tool allowing a blind search for SI violations in the CMB sky, it is not easy to discern the cause of isotropy violation using this measure. In this article, we propose a novel technique of constructing orthogonal BipoSH estimators, which can be used to discern between models of isotropy violation.

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• A novel approach to reconstructing signals of isotropy violation from a masked CMB sky
• Statistical anisotropy and cosmological quantum relaxation
• Statistical isotropy violation in WMAP CMB maps resulting from non-circular beams
• Isotropy-Violation Diagnostics for $B$-mode Polarization Foregrounds to the Cosmic Microwave Background
• New Geometric Representations of the CMB 2pcf