Void profile from Planck lensing potential map

Understand

We use the lensing potential map from Planck CMB lensing reconstruction analysis and the "Public Cosmic Void Catalog" to measure the stacked void lensing potential.

• In this profile, four parameters are needed to describe the shape of voids with different characteristic radii $R_V$.
• However, we have found that after reducing the background noise by subtracting the average background, there is a residue lensing power left in the data.
• The inclusion of the environment shifting parameter, $\gamma_V$, is necessary to get a better fit to the data with the residue lensing power.