Fig. 6

E-/B-mode mixing with three-point aperture mass statistics due to small-scale cutoff at θmin = 1, 2 and 5 arcsec. In the upper panel, the black lines represent the E-mode aperture mass statistic , and the magenta lines represent the parity-preserving B-mode
. The error bars present the shape noise contribution to the uncertainty in
at θ = 0.1,0.2,0.4,0.7, and 1 arcmin. To compute the shape noise we have adopted an ellipticity dispersion σϵ = 0.35, a galaxy number density n = 30 arcmin-2, and a survey area of 15 000 deg2, which are typical values for the Euclid survey. The lower panel presents the relative decrease in
signal when a small-scale information loss is present. All ratios
follow the same curve when plotted against θ / θmin. The thin blue line presents a fitting formula of this curve rM = 1 − 1 / (0.8 + 0.2x + 2.3x2 − 0.04x3) with x = θ / θmin. The parity-violating B-mode signals, which are not explicitly shown in the figure, are zero over all angular scales, both with and without cutoff.
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