Papers › CMB statistical isotropy confirmation at all scales using multipole vectors
CMB statistical isotropy confirmation at all scales using multipole vectors
Renan A. Oliveira, Thiago S. Pereira, Miguel Quartin
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We present an efficient numerical code and conduct, for the first time, a null and model-independent CMB test of statistical isotropy using Multipole Vectors (MVs) at all scales. Because MVs are insensitive to the angular power spectrum C_ℓ, our results are independent from the assumed cosmological model. We avoid a posteriori choices and use pre-defined ranges of scales ℓ∈[2,30], ℓ∈[2,600] and ℓ∈[2,1500] in our analyses. We find that all four masked Planck maps, from both 2015 and 2018 releases, are in agreement with statistical isotropy for ℓ∈[2,30], ℓ∈[2,600]. For ℓ∈[2,1500] we detect anisotropies but this is indicative of simply the anisotropy in the noise: there is no anisotropy for ℓ< 1300 and an increasing level of anisotropy at higher multipoles. Our findings of no large-scale anisotropies seem to be a consequence of avoiding \emph{a posteriori} statistics. We also find that the degree of anisotropy in the full sky (i.e. unmasked) maps vary enormously (between less than 5 and over 1000 standard deviations) among the different mapmaking procedures and data releases.
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