Scale-free halo cutoff normalization
= Scale-free halo cutoff normalization
{title2=$A=2q\bar\rho_{m,0}M_*^{-q}/\sqrt\pi$}
For $\sigma(M,0)=SM^{-q}$ with $q=(n+3)/6>0$, matching the <Press-Schechter halo mass function> to $AM^{q-2}\exp[-(M/M_*)^{2q}]$ requires $\sigma(M_*,0)=\delta_c(z)/\sqrt2$. The comoving normalization is $A=2q\bar\rho_{m,0}M_*^{-q}/\sqrt\pi$. Consequently both $A$ and $M_*$ evolve with the <linear growth factor>; $M_*\propto D^{1/q}$.