CMB statistical isotropy confirmation at all scales using multipole
  vectors
  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 $C_\ell$, our results are independent from the assumed cosmological
model. We avoid a posteriori choices and use pre-defined ranges of scales
$\ell\in[2,30]$, $\ell\in[2,600]$ and $\ell\in[2,1500]$ in our analyses. We
find that all four masked Planck maps, from both 2015 and 2018 releases, are in
agreement with statistical isotropy for $\ell\in[2,30]$, $\ell\in[2,600]$. For
$\ell\in[2,1500]$ we detect anisotropies but this is indicative of simply the
anisotropy in the noise: there is no anisotropy for $\ell < 1300$ 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.
