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Orthogonal BipoSH measures : Scrutinizing sources of isotropy violation

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arxiv 1409.4886 v1 pith:F26323GE submitted 2014-09-17 astro-ph.CO gr-qc

Orthogonal BipoSH measures : Scrutinizing sources of isotropy violation

classification astro-ph.CO gr-qc
keywords isotropybiposhviolationdiscernorthogonalsearchtechniqueviolations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 2 Pith papers

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    A U-Net GAN reconstructs CMB T and E maps from Planck-like simulations with foregrounds and systematics, achieving under 1% error outside the Galactic region and demonstrating first-time correction for non-circular be...

  2. Capturing statistical isotropy violation with rotational averages

    astro-ph.CO 2026-05 unverdicted novelty 6.0

    Rotational averages of the angular correlation function isolate non-statistical isotropy components in the CMB sky as a real-space complement to BipoSH coefficients.