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Illustrating the consequences of a misuse of $\sigma_8$ in cosmology

Forconi, Matteo, Favale, Arianna, Gómez-Valent, Adrià

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The parameter $\sigma_8$ is the rms mass fluctuations on a scale of $R_8=8h^{-1}$ Mpc and is used to quantify the amplitude of matter fluctuations at linear scales.

However, the dependence of $R_8$ on $h$ complicates direct comparisons of $\sigma_8$ values obtained under different assumptions about $H_0$, since $\sigma_8$ in such cases characterizes the amount of structure at different physical scales.
This issue arises both when comparing $\sigma_8$ values from fitting analyses of cosmological models with differing $H_0$ posteriors, and when contrasting constraints from galaxy clustering experiments with different priors on $H_0$.
As first noted by Ariel G.

Illustrating the consequences of a misuse of $\sigma_8$ in cosmology · Around

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