Directional dependence of CMB parity asymmetry
  Parity violation in the cosmic microwave background (CMB) radiation has been
confirmed by recent Planck observation. In this paper, we extend our previous
work [P. Naselsky et al. Astrophys. J. {\bf 749}, 31 (2012)] on the directional
properties of CMB parity asymmetry by considering the Planck data of the CMB
temperature anisotropy. We define six kinds of the directional statistics and
find that they all indicate the odd-parity preference of CMB data. In addition,
we find the preferred axes of all these statistics strongly correlate with the
preferred axes of the CMB kinematic dipole, quadrupole, and octopole. The
alignment between them is confirmed at more than $3\sigma$ confidence level,
which implies that the CMB parity asymmetry, and the anomalies of the CMB
quadrupole and octopole, may have the common physical, contaminated or
systematic origin. In addition, they all should be connected with the possible
contamination of the residual dipole component.
