Statical properties of CMB B-mode polarisation in a partial sky analysis
  Measuring the imprint of primordial gravitational waves in the cosmic
microwave background (CMB) polarisation field is one of the main goals in
modern cosmology. However, the so called $B$-mode polarisation can be generated
by different sources besides the primary one predicted by inflationary
theories, known as secondary $B$-mode signal. Among them, CMB lensing and
astrophysical foregrounds play an important role. Moreover, a partial sky
analysis leads to a leakage between $E$-modes and $B$-modes. In this article,
we use the well known Minkowski functionals (MF) statistics to study the
significance of this leakage in the CMB lensing $B$-mode signal. We find that
the MF can detect the $E$-to-$B$ leakage contamination, thus it should not be
neglected in future CMB data analysis.
