channel fixed while increasing the channel interference strength. Details on our derivation can be found in Appendix \[app:two-band\]. We find that the energy scale at which the coupling diverges is affected by channel interference. Furthermore, the effect of channel interference on charge-density wave order and spin-density wave order is different: While increasing the channel-interference strength via $u_3^{(0)}$ results in higher transition temperatures for SDW order (since the divergence is pushed to lower energies), the opposite is true for CDW order. In Fig. \[fig:channel-interference\], we present our numerical solution of the RG equations  for SDW order characterized by a real order parameter and CDW order associated with a purely imaginary order parameter, since these are the two instabilities arising from the parameter range usually discussed in the context of iron-based superconductors.

While our analysis and the perturbative RG investigation address rather different phenomena, we note that the trends we find from the RG flow are consistent with our analysis of fluctuation corrections: Channel interference is favorable for the formation of spin-density wave order as it leads to an increase of the corresponding transition temperature, whereas the transition towards charge-density wave order is hindered by channel interference in the sense that the 