Charged-Lepton-Flavour Violation in the CMSSM in View of the Muon Anomalous Magnetic Moment

We use the BNL E821 measurement of g - 2, the anomalous magnetic moment of the muon, to normalize, within a supersymmetric GUT framework, constrained MSSM (CMSSM) predictions for processes that violate charged-lepton flavour conservation, including mu to e gamma, mu to e conversion and K^0_L to mu e. We illustrate our analysis with two examples of lepton mass matrix textures motivated by data on neutrino oscillations. We find that mu to e gamma may well occur at a rate within one or two (two or three) orders of magnitude of the present experimental upper limit if g - 2 is within the one- (two-)standard deviation range indicated by E821. We also find that mu to e conversion is likely to occur at rate measurable by MECO, and there is a chance that K^0_L to mu e may be observable in an experiment using an intense proton source