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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/8148
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dc.contributor.authorDipanshu-
dc.contributor.authorSouradeep, Tarun-
dc.contributor.authorHirve, Shriya-
dc.date.accessioned2023-09-09T08:01:31Z-
dc.date.available2023-09-09T08:01:31Z-
dc.date.issued2023-09-06-
dc.identifier.citationThe Astrophysical Journal, 2023, Vol. 954, p181en_US
dc.identifier.urihttp://hdl.handle.net/2289/8148-
dc.descriptionOpen Accessen_US
dc.description.abstractThe exquisitely measured maps of fluctuations in the cosmic microwave background (CMB) present the possibility of systematically testing the principle of statistical isotropy of the Universe. A systematic approach based on strong mathematical formulation allows any nonstatistical isotropic (nSI) feature to be traced to the nature of physical effects or observational artifacts. Bipolar spherical harmonics (BipoSH) representation has emerged as an overarching general formalism for quantifying the departures from statistical isotropy for a field on a 2D sphere. We adopt a little-known reduction of the BipoSH functions, dubbed minimal harmonics in the original paper by Manakov et al. We demonstrate that this reduction technique of BipoSH leads to a new generalized set of isotropic angular correlation functions referred to here as minimal BipoSH functions that are observable quantifications of nSI features in a sky map. This paper presents a novel observable quantification of deviation from statistical isotropy in terms of generalized angular correlation functions that are compact and complementary to the BipoSH spectra that generalize the angular power spectrum of CMB fluctuations.en_US
dc.language.isoenen_US
dc.publisherIOP Publishing Ltden_US
dc.relation.urihttps://ui.adsabs.harvard.edu/abs/2023arXiv230104539D/abstracten_US
dc.relation.urihttps://arxiv.org/abs/2301.04539en_US
dc.relation.urihttp://dx.doi.org/10.3847/1538-4357/ace895en_US
dc.rights2023 The Author(s)en_US
dc.subjectTwo-point correlation functionen_US
dc.subjectCosmic microwave background radiationen_US
dc.titleCapturing Statistical Isotropy Violation with Generalized Isotropic Angular Correlation Functions of Cosmic Microwave Background Anisotropyen_US
dc.typeArticleen_US
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