Lepton Mass Matrix Models

Abstract

The smallness and hierarchy in fermion parameters could be the result of selection rules due to an Abelian horizontal symmetry broken by a small parameter. When applied to the lepton sector, then for a large class of models, a number of interesting order of magnitude relations arise: with $i<j$, $m({\nu }_i)/m({\nu }_j)\sim {\sin }^2{\theta }_{ij}$; $m(\ell^-_i)/m(\ell^-_j)\lsim\sinθ_{ij}$; $m(ν_i)/m(ν_j)\gsim m^2(\ell^-_i)/m^2(\ell^-_j)$; $m(ν_e)\lsim m(ν_μ)\lsim m(ν_τ)$. The relations between neutrino masses and mixings may become exact if the horizontal symmetry together with holomorphy induce certain zero entries in the lepton mass matrices. A full high energy theory is likely to include scalars with flavor changing couplings and heavy leptons in vector representations; however, the masses of these particles are too heavy to be directly observed in experiment. Indirect evidence for the horizontal symmetry may arise from other sectors of the theory: non-degenerate sleptons are allowed as the symmetry aligns lepton and slepton mass matrices; light leptoquarks are allowed as the symmetry can make their couplings diagonal and chiral.

25 pages, uses harvmac; no figures

References in corpus (21)

• Dynamical Supersymmetry Breaking at Low Energies
• Fermion masses and mixing angles from gauge symmetries
• Mass Matrix Models: The Sequel
• Mass Matrix Models
• Model independent constraints on leptoquarks from rare processes
• Should Squarks Be Degenerate?
• Flavor Symmetries and The Problem of Squark Degeneracy
• A Comprehensive Study of Leptoquark Bounds
• Solar Model Uncertainties, MSW Analysis, and Future Solar Neutrino Experiments
• On the generality of certain predictions for quark mixing
• Phenomenological Implications of Supersymmetry Breaking by the Dilaton
• Lepton Flavor Non-Conservation
• Constraints on non-universal soft terms from flavor changing neutral currents
• Neutrino Masses from Gauge Symmetries
• Implications of Horizontal Symmetries on Baryon Number Violation in Supersymmetric Models
• Family Symmetries and Proton Decay
• New Bounds on Leptoquark Couplings
• Some Phenomenological Implications of String Loop Effects
• Bounds on the Masses and Couplings of Leptoquarks from Leptonic Partial Widths of the Z
• Bounds on Scalar Leptoquarks from Z Physics
• Naturally Light Leptoquarks

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