Neutrino Mass, Muon Anomalous Magnetic Moment, and Lepton Flavor Nonconservation

If the generating mechanism for neutrino mass is to account for both the newly observed muon anomalous magnetic moment as well as the present experimental bounds on lepton flavor nonconservation, then the neutrino mass matrix should be almost degenerate and the underlying physics should be observable at future colliders. We illustrate this assertion with two specific examples, and show that Γ(μ->eγ)/m5μ , Γ(τ->eγ)/m5τ , and Γ(τ->μγ)/m5τ are in the ratio (Δm2)2sol/2 , (Δm2)2sol/2 , and (Δm2)2atm , respectively, where the Δm2 parameters are those of solar and atmospheric neutrino oscillations and bimaximal mixing has been assumed