Scaling of lepton dipole moments with lepton mass - art. no. 053009

The dipole moments of the leptons and quarks are matrices in flavor space, which can potentially reveal as much about the flavor structure of the theo ry as do the mass matrices. The off-diagonal elements of the dipole matrice s lead to flavor-changing decays such as mu -->e gamma, while the imaginary parts of the diagonal elements dive rise to electric dipole moments. We an alyze the scaling of the leptonic dipole moments with the lepton masses in theories beyond the standard model. While in many models the dipole moments scale roughly as lepton mass, it is shown that simple models exist in whic h the dipoles scale as the cube of the mass or in other ways. An explicit e xample with cubic scaling is presented, which is motivated on independent g rounds from large angle neutrino oscillation data. Our results have great s ignificance for the observability of the electric dipole moments d(e), d(mu ), d(tau), and the rare decays mu -->e gamma, and tau --> mu gamma and will be tested in several forthcoming experiments.