Electron-muon permutation symmetry and multiplicatively conserved lepton number in gauge theories |
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Authors: | Emanuel Derman D R Timothy Jones |
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Institution: | Department of Theoretical Physics, Oxford University, Oxford, U.K. |
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Abstract: | The similarity between the weak interactions of electron and muon is extended to the principle that all e and μ interactions in gauge models are invariant under e ↔ μ exchange. This necessitates the existence of two Higgs doublets φe and φμ, and an extended e ↔ μ permutation invariance. After symmetry-breaking, a multiplicatively conserved “permutation parity” π = ± 1 for all particles naturally emerges, with πμ = −πe = 1. The model forbids μ → eγ but predicts e−e− → μ−μ− mediated by π = −1 Higgs bosons at 10−11 times the rate of typical weak cross sections. |
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