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Probing $\mu e \gamma \gamma$ contact interactions with $\mu \to e$ conversion
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abstract
Contact interactions of a muon, an electron and two photons can contribute to the decay $\mu \to e \gamma \gamma$, but also to the conversion of a muon into an electron in the electric field of a nucleus. We calculate the $\mu \to e$ conversion rate, and show that for the coefficients of operators involving the combination $FF \propto |\vec{E}|^2$ (as opposed to $F\tilde{F} \propto \vec{E} \cdot \vec{B}$), the current bound on $\mu \to e$ conversion is more sensitive than the bound on $\mu \to e \gamma \gamma$.
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Cited by 1 Pith paper
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$\mu^- \to e^-\gamma$ in a muonic atom as a probe for effective lepton flavor violating operators involving photon fields
A muonic atom's muon can decay to an electron and photon through two-photon flavor-violating operators, and this process could be observable in future muon experiments for heavy target nuclei.
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