We investigate the impact of massive neutrinos on the distribution of matter in the semi-non-linear regime ( 0.1 \mathrel { \raise 1.29 pt \hbox { $ < $ \kern - 7.5 pt \lower 4.3 pt \hbox { $ \sim$ } } } k% \mathrel { \raise 1.29 pt \hbox { $ < $ \kern - 7.5 pt \lower 4.3 pt \hbox { $ \sim$ } } } 0.6 % h \textrm { Mpc } ^ { -1 } ) .
We present a suite of large-scale \it { N } -body simulations quantifying the scale dependent suppression of the total matter power spectrum , resulting from the free-streaming of massive neutrinos out of high-density regions .
Our simulations show a power suppression of 3.5 - 90 per cent at k \mathrel { \lower 0.43 pt \hbox { $ \sim$ } } 0.6 h \textrm { Mpc } ^ { -1 } for total neutrino mass , \Sigma m _ { \nu } = 0.05 - 1.9 { eV } respectively .
We also discuss the precision levels that future cosmological datasets would have to achieve in order to distinguish the normal and inverted neutrino mass hierarchies .