Crude empirical estimates of the additional variance on the MV reconstruction band powers (on the conservative multipole range) due to the finite number of simulations used for mean-field and bias correction. The additional variance is normalized by the baseline statistical variance of the band powers. These empirical estimates were obtained by splitting the simulations into five independent subsets, building reconstruction band powers using each subset of the simulations, and measuring the scatter between the five sets of band powers. The results are scaled by 1/5 to approximate the full simulation set used in the main analysis. The horizontal line shows the simple constant relative correction applied to the covariance matrix, Eq. (13), as obtained in Appendix C. The error bars on the empirical variance (identical for each bin, after rescaling by ) are those expected in the fiducial model of Eq. (13), assuming Gaussian statistics of the lensing maps.
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