In the (B-L)13 flavon model, the muon-electron flavon solution to muon g-2 is ruled out by muonium oscillations, and only a muon-tau flavon with mass around m_tau and coupling near 1e-2 survives the applied constraints.
$\mu^+e^- <---> \mu^- e^+$ Transitions via Neutral Scalar Bosons
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abstract
With $\mu\to e\gamma$ decay forbidden by multiplicative lepton number conservation, we study muonium--antimuonium transitions induced by neutral scalar bosons. Pseudoscalars do not induce conversion for triplet muonium, while for singlet muonium, pseudoscalar and scalar contributions add constructively. This is in contrast to the usual case of doubly charged scalar exchange, where the conversion rate is the same for both singlet and triplet muonium. Complementary to muonium conversion studies, high energy $\mu^+e^- \to \mu^- e^+$ and $e^-e^- \to \mu^- \mu^-$ collisions could reveal spectacular resonance peaks for the cases of neutral and doubly charged scalars, respectively.
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A Light Lepton-flavor-violating Flavon: the Messenger of Neutrino Mixing and Muon $g-2$
In the (B-L)13 flavon model, the muon-electron flavon solution to muon g-2 is ruled out by muonium oscillations, and only a muon-tau flavon with mass around m_tau and coupling near 1e-2 survives the applied constraints.