onepower.pk.Spectra.transition_smoothing#

Spectra.transition_smoothing(neff, p_1h, p_2h)[source]#

Smooth the transition between 1 and 2 halo terms, eq 23 and table 2 of Mead et al. 2021.

\(\alpha = 1\) would correspond to a standard transition.

\(\alpha < 1\) smooths the transition while \(\alpha > 1\) sharpens it.

\(\Delta^{2}(k) = k^{3}/(2 \pi^{2}) P(k)\)

\(\Delta^{2}_{\rm hmcode}(k,z) = \left({[\Delta^{2}_{\rm 2h}(k,z)]^{\alpha} +[\Delta^{2}_{\rm 1h}(k,z)]^{\alpha}} \right)^{1/{\alpha}}\)