Full-sky CMB lensing reconstruction in presence of sky-cuts

We consider the reconstruction of the CMB lensing potential and its power spectrum on the full sphere in presence of sky-cuts due to point sources and Galactic contamination. These two effects are treated separately. Small regions contaminated by point sources are filled in using constrained Gaussian realizations. The Galactic plane is simply removed using an apodized mask before lensing reconstruction. This algorithm recovers the power spectrum of the lensing potential with no significant bias.