Top panel: bias induced in the MILCA reconstruction when using a noisy SED as extra constraint. Black points are the mean from the 200 simulations for each value of the relative error, the red line represents the best-fit for the bias term and the blue line is the expected value in an unbiased case. Bottom panel: extra noise induced in the MILCA reconstruction when using a noisy SED as extra constraint. Black points are computed from the 200 simulation for each value of the relative error and the red line represents the best-fit for the noise term. The contamination are presented in units of Compton parameter for the central pixel of the reconstructed map for which we expect the maximum contamination.