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Fig. 6.

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Fitting procedure to obtain the shot-noise-corrected signal in case of wf(r) (upper panel) and m ¯ f $ \bar{m}_f $ (lower panel) for the tanh-mark in the configuration (a, b) = (0.6, −0.5). Following Eq. (69) we present the fits in dependency of 1 / N ¯ $ 1/\bar{N} $, the reciprocal of the average number of points per grid cell. We show only one realisation of Covmos and the scale bin in r for wf is fixed to be close to 20 h−1 Mpc. The depleted measurements were obtained by taking the mean over 100 realisations of depletions. The orange points refer to the fitted measurements and the blue point is the undepleted reference (not included in the fit). Differently coloured lines refer to different orders in the polynomials we used to fit the data. Errorbars of the orange points are obtained by taking the mean standard deviation over the 100 realisations. Since the depletion down to 1.7% (first orange point from the left) mimics the undepleted ELEPHANT density we use for this point an error that is 10% of the minimum uncertainty over the remaining depletions.

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