Lepton Transmutations from a Rotating Mass Matrix

Abstract

Fermion mass matrices generally rotate in generation space under scale changes, which can lead to fermions of different generations transmuting into one another. The effect is examined in detail and its cross-section calculated for $\gamma + \ell_\alpha \longrightarrow \gamma + \ell_\beta$ with $\ell_\alpha \neq \ell_\beta$ the charged leptons $e, \mu$, or $\tau$. For the (conventional) Standard Model, this is weak and probably undetectable, though with some notable exceptions. But for the Dualized Standard Model, which we advocate and have already used quite successfully to explain quark mixing and neutrino oscillation, the effect is larger and could be observable. Estimates of transmutational decays are also given.