The Multipole Vectors of WMAP, and their frames and invariants

dc.creatorLand, Kate
dc.creatorMagueijo, Joao
dc.date2005-02-28
dc.date.accessioned2026-07-07T11:03:50Z
dc.date.available2026-07-07T11:03:50Z
dc.descriptionWe investigate the Statistical Isotropy and Gaussianity of the CMB fluctuations, using a set of multipole vector functions capable of separating these two issues. In general a multipole is broken into a frame and $2\ell-3$ ordered invariants. The multipole frame is found to be suitably sensitive to galactic cuts. We then apply our method to real WMAP datasets; a coadded masked map, the Internal Linear Combinations map, and Wiener filtered and cleaned maps. Taken as a whole, multipoles in the range $\ell=2-10$ or $\ell=2-20$ show consistency with statistical isotropy, as proved by the Kolmogorov test applied to the frame's Euler angles. This result in {\it not} inconsistent with previous claims for a preferred direction in the sky for $\ell=2,...5$. The multipole invariants also show overall consistency with Gaussianity apart from a few anomalies of limited significance (98%), listed at the end of this paper.
dc.description9 pages. Submitted to MNRAS
dc.identifierhttps://arxiv.org/abs/astro-ph/0502574
dc.identifierhttp://arxiv.org/abs/astro-ph/0502574
dc.identifierMon.Not.Roy.Astron.Soc.362:838-846,2005
dc.identifierdoi:10.1111/j.1365-2966.2005.09310.x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188680
dc.subjectAstrophysics
dc.titleThe Multipole Vectors of WMAP, and their frames and invariants
dc.typetext

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