Symmetries and the mass ratio of the electron and muon |
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Authors: | Minoru Horibe Jun Ishida Akira Sato |
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Institution: | Department of Physics, Osaka University, Toyonaka, Osaka 560, Japan |
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Abstract: | A model of symmetries and gauge interactions relating the electron and muon is considered. The model is based on the UL(1)?UR(1)?RL?RR group where UL(1)?UR(1) denotes the chiral e-μ rotation and RL?RR the chiral reflection of the electron field. The invariance under this group is spontaneously broken by the vacuum expectation values of scalar fields. A zeroth-order vacuum is found for which the zeroth-order electron mass vanishes, while one-loop corrections lead to a finite ratio. The decay process μ → e + γ is strictly forbidden in this model. |
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