2000/12/22 by K. S. Babu, S. M. Barr, Ilja Doršner +1
Mathematics · Physics and Astronomy · #Dark Matter and Cosmic Phenomena #Dipole #Electron #Geometry #Lepton #Mathematics #Neutrino #Neutrino Physics Research #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Quark #Scaling #hep-ph
paper · pdf · doi:10.1103/physrevd.64.053009
published as Phys.Rev.D64:053009,2001 · 19 pages with 5 figures
arxiv created 2000/12/22 · openalex publication_date 2001/08/10 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 theory as do the mass matrices. The off-diagonal elements of the dipole matrices lead to flavor-changing decays such as \stackrel\ensuremath→\ensuremathμe\ensuremathγ, while the imaginary parts of the diagonal elements give rise to electric dipole moments. We analyze 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 which the dipoles scale as the cube of the mass or in other ways. An explicit example with cubic scaling is presented, which is motivated on independent grounds from large angle neutrino oscillation data. Our results have great significance for the observability of the electric dipole moments de, d_\ensuremathμ, d_\ensuremathτ, and the rare decays \stackrel\ensuremath→\ensuremathμe\ensuremathγ, and \stackrel\ensuremath→\ensuremathτ\ensuremathμ\ensuremathγ and will be tested in several forthcoming experiments.