Charged-lepton-flavour violation in the CMSSM in view of the muon anomalous magnetic moment

We use the BNL E821 measurement of g(mu) - 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 --> e gamma, mu --> e conversion and K-L(0) --> mu (+/-)e(-/+). We illustrate our analysis with two examples of lepton mass matrix textures motivated by data on neutrino oscillations. We find that g --> 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(mu) - 2 is within the one- two-standard deviation range indicated by E821. We also find that mu --> e conversion is likely to occur at rate measurable by MECO, and there is a chance that K-L(0) --> mu (+/-)e(-/+) may be observable in an experiment using an intense proton source. (C) 2001 Elsevier Science B.V. All rights reserved.