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Fig. 4.

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2D angular matter power spectra, C δ δ ( i j ) ( ) $ C_{\delta \delta}^{(i j)}(\ell) $, projected with Levin describing the correlations between the large-scale structure within a set of 19 concentric shells spaced along the line of sight as shown in Fig. 2. The top panel shows the autocorrelations of all shells, i.e. |i − j| = 0. The bottom panel shows the correlations of each shell with its nearest neighbour, i.e. |i − j| = 1 (|i − j|> 1 are not shown as they do not have a large effect on matter fields within each shell, see Tessore et al. 2023). The colour of each line is given by the mean redshift of the ith bin, z ¯ ( i ) $ \overline{z}^{(i)} $. The underlying linear 3D matter power spectrum is based on flat ΛCDM assuming Ωc = 0.05, Ωb = 0.28, σ8 = 0.79, S8 = 0.84 and H0 = 67 km s−1 Mpc−1 calculated using CAMB (Lewis et al. 2000; Lewis & Challinor 2002; Howlett et al. 2012), while the non-linear contribution is calculated using HMcode-2016 (Mead et al. 2015, 2016) assuming Abary = 3.1. The non-Limber projection done by Levin assumes max, nL = 1200 which causes the C δ δ ( i j ) $ C_{\delta \delta}^{(ij)} $ with |i − j|> 0 go to a value of zero for  > max, nL.

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