The main result of the paper is that only DM annihilating into μ+μ− with a mass around 500 GeV and ⟨σv⟩=4×10^−24 cm^3/s can fit AMS-02 data and be compatible with the upper limits found with γ rays.
As for the τ+τ− (bb¯) channel, DM can contribute at most at a few tens % (a few %) level.
Haoxiang Zhan, "Constraining the dark matter interpretation of the positron excess with γ-ray data" arXiv:2305.01992 (May 3, 2023) (selected portion of the abstract).
But, a 500 GeV dark matter particle that can decay in muon, tau lepton, or bottom quark pairs which such a large cross-section of interaction is already ruled out by direct dark matter detection experiments. So, AMS-02 is not seeing any meaningful amount of dark matter decays.
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