Supernova models yield coupling limits g_a ≲ 0.9×10^{-10} and g_φ ≲ 0.4×10^{-10} for masses above 100 keV from gamma-ray observations, plus stronger trapping-regime limits from explosion energy, that are difficult to reconcile with a muon g-2 explanation.
Bollig, Muon Creation and Effects in Supernovae , https://mediatum.ub.tum.de/1435391
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Muonic Boson Limits: Supernova Redux
Supernova models yield coupling limits g_a ≲ 0.9×10^{-10} and g_φ ≲ 0.4×10^{-10} for masses above 100 keV from gamma-ray observations, plus stronger trapping-regime limits from explosion energy, that are difficult to reconcile with a muon g-2 explanation.