Decay of the dimuonium into a photon and a neutral pion

Abstract

We compute the decay rate of dimuonium into a neutral pion and a photon. We find that approximately one in 10^5 ortho-dimuonia decays into this channel. We also determine the contribution of the virtual photon-pion loop to the hyperfine splitting in dimuonium and reproduce its leading effect in the anomalous magnetic moment of the muon.

arXiv commentcorrected and extended list of references

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• Discovering True Muonium in $K_L\to ({\mu }^{+}{\mu }^{-})\gamma$