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In this paper, we apply the multi-tracer technique to harmonic-space (i.e.\angular) power spectra with a likelihood-based approach. This goes beyond theusual Fisher matrix formalism hitherto implemented in forecasts with angularstatistics, opening up a window for future developments and direct applicationto available data sets. We also release a fully-operational modified version ofthe publicly available code CosmoSIS, where we consistently include all theadd-ons presented in the previous papers of this series. The result is amodular cosmological parameter estimation suite for angular power spectra ofgalaxy number counts, allowing for single and multiple tracers, and includingdensity fluctuations, redshift-space distortions, and weak lensingmagnification. We demonstrate the improvement on parameter constraints enabledby the use of multiple tracers on a multi-tracing analysis of luminous redgalaxies and emission line galaxies. We obtain an enhancement of $44\%$ on the$2\sigma$ upper bound on the sum of neutrino masses. Our code is publiclyavailable athttps://github.com/ktanidis/Modified_CosmoSIS_for_galaxy_number_count_angular_power_spectra.

monthly notices of the royal astronomical society

Developing a unified pipeline for large-scale structure data analysis  with angular power spectra -- III. Implementing the multi-tracer technique to  constrain neutrino masses