In this paper, we calculate the luminescence of the dilute quaternary InAs(N,Sb). The incorporation of N leads to a reduction of the energy gap of the host InAs and Sb acts as a surfactant, improves the N incorporation and further reduces the bandgap. This is thus extremely relevant for devices operating in the mid-infrared (MIR) spectral range from 3 to 5 µm. In order to describe this system, the theory starts with the band anticrossing model applied to both conduction and the valence band to generate inputs for analytical approximations that lead to luminescence spectra, including plasma screening, bandgap renormalization and excitonic enhancements. Direct application of the equations leads to good agreement with some recent experimental data.