2D correlation map processed on simulated PSF with a fake planet injected, shown in the top-left panel. The colorbar represents the correlation strength between spaxels and the template. The top right panel shows the histogram of the correlation strength map, displaying the distribution of the correlation values in the annulus. Here, µ_CCF and σ_CCF denote the mean and the standard deviation of these values, respectively. Also, α(x0, y0) is the correlation at the location of the planet. Bottom panel shows the cross-correlation function on (blue) and off (orange) the planet’s location.