Fréchet Vectors, built from Multipole Vectors, are more sensitive to CMB anisotropies, and Planck 2018 temperature maps show small tensions with a Gaussian and statistically isotropic sky.
CMB statistical anisotropy, multipole vectors and the influence of the dipole
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abstract
A simple algorithm which gives the multipole vectors in terms of the roots of a polynomial is given. We find that the reported alignmet of the low l multipole vectors can be summarised as an anti-alignmet of these with the dipole direction. This anti-alignment is not only present in l=2 and 3 but also for l=5 and higher. This alignment is likely due to non-linearity in the data processing. Our results are based on the three year WMAP data, we also list corresponding results for the first year data.
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Fr\'echet Vectors as sensitive tools for blind tests of CMB anomalies
Fréchet Vectors, built from Multipole Vectors, are more sensitive to CMB anisotropies, and Planck 2018 temperature maps show small tensions with a Gaussian and statistically isotropic sky.