Determine the physical origin of the redshift-evolution parameter

Determine whether the parameter b governing the redshift evolution of the baryonic-feedback suppression function B(z) is related to the growth rate of approximately 10^13 h^-1 M_sun halos and the dominance of active galactic nucleus feedback in those halos.

Background

The paper models the redshift evolution of the feedback scale through B(z) = B0(1 + z)^a exp(-bz), fixing b = 3.87 as a global parameter because this value provides an acceptable fit across the investigated simulations. The authors note a possible numerical connection between b and the growth rate of approximately 10^13 h^-1 M_sun halos: the halo mass-function growth parameter is estimated as alpha approximately 2, comparable to b/2.

The proposed physical interpretation is conditional: if active galactic nucleus feedback dominates the displacement process and is primarily associated with halos of this mass, the observed value b approximately 4 might be explained. The paper explicitly leaves unresolved whether this relationship is genuine and does not interpret b further.