Fig. 1.
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Number counts of power spectra for the Euclid photometric sample (top panels) and percentage contributions of magnification and RSDs,
(bottom panels). The contribution of magnification includes the κκ contribution as well as the density-κ contributions, given by the second, third, and fourth terms in Eq. (17). The contribution of RSDs, third line in Eq. (17), comprises the RSD-RSD correlation and the cross-correlation of RSDs with density and magnification. The magnification-RSD correlation is sub-dominant. The top sub-figure refers to the auto-correlation at
. While the contribution of RSDs is 30% on large scales, that is, ℓ ∼ 10, it drops below 1% at ℓ > 90. For this configuration, the contribution of magnification is at the sub-percent level on all scales (the blue line and the orange line overlie on all scales). The bottom sub-figure shows the cross-correlation of two bins with large redshift separation,
. The contribution of density alone and RSDs is negligible in this case. Magnification (and its cross-correlation with the density) constitutes the totality of the spectrum.
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