Planck 2018 results
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Fig. 17.


Conditional residuals for the co-added TT (top panel), EE (middle), and TE (bottom) power spectra. The blue points show the difference between the co-added spectra and the 2018 base-ΛCDM spectra, with the points at more than 2σ coloured pink. The black lines show the difference between the conditional prediction of the spectrum and the base model. The prediction for a given spectrum is performed (within the framework of base ΛCDM) conditional on the two others, e.g., in the top panel, the TT prediction is conditioned on both the TE and EE data. The solid and dashed blue lines show the ±1σ and ±2σ contours of the prediction (around the black line), corresponding to the diagonal of the block of the conditional covariance computed from the 2018 covariance matrix and data. Probabilities to exceed (PTEs) are computed for the difference between the data and its conditional prediction using the conditional covariance for each panel. We see that any pair of spectra predicts the third one well (assuming that ΛCDM is a good model), bringing support to the consistency of the temperature and polarization measurements within ΛCDM. This is particularly true at low and intermediate multipoles (where Planck is cosmic-variance limited), where the conditionals successfully predict the deviations of the co-added spectra from the theoretical base-ΛCDM spectra.

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