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Dark matter searches in gamma ray final states often make use of the factthat photons can be produced from final state muons. Modern Monte Carlogenerators and DM codes include the effects of final state radiation from muonsproduced in the dark matter annihilation process itself, but neglect the O(1%)radiative correction that arises from the subsequent muon decay. Afterimplementing this correction we demonstrate the effect that it can have on darkmatter phenomenology by considering the case of dark matter annihilation tofour muons via scalar mediator production. We first show that the AMS-02positron excess can no longer easily be made consistent with this final stateonce the Fermi-LAT dwarf limits are calculated with the inclusion of radiativemuon decays, and we next show that the Fermi-LAT galactic centre gamma excesscan be improved with this final state after inclusion of the same effect. Weprovide code and tables for the implementation of this effect in the populardark matter code micrOMEGAs, providing a solution for any model producing finalstate muons.

Gamma rays from muons from WIMPs: Implementation of radiative muon decays for dark matter analyses