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Fig. 6.


Higher-order aperture mass statistics for f(R) models with fR0 = −10−5 and a varying sum of neutrino masses mν. Data points represent the mean over 256 realisations of each simulated cosmology and are plotted at scales (ϑ1, …, ϑ7) = (0.293′, 0.586′, 1.17′, 2.34′, 4.69′, 9.34′, 18.8′). Left panel: aperture mass skewness computed as the third order moment . Higher neutrino mass leads to a nearly uniform reduction in skewness across all scales relative to ΛCDM. The maximum discrepancy between each model and ΛCDM is also larger than for the variance. Right panel: aperture mass kurtosis computed as the fourth-order moment . Differences from ΛCDM are comparable to the skewness, the main distinction being that the kurtosis of the mν >  0 models approaches the mν = 0 value at larger scales.

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