A Model of Quark and Lepton Masses I: The Neutrino Sector

Abstract

If neutrinos have masses, why are they so tiny? Are these masses of the Dirac type or of the Majorana type? We are already familiar with the mechanism of how to obtain a tiny Majorana neutrino mass by the famous see-saw mechanism. The question is: Can one build a model in which a tiny Dirac neutrino mass arises in a more or less "natural" way? What would be the phenomenological consequences of such a scenario, other than just merely reproducing the neutrino mass patterns for the oscillation data? In this article, a systematic and detailed analysis of a model is presented, with, as key components, the introduction of a family symmetry as well as a new SU(2) symmetry for the right-handed neutrinos. In particular, in addition to the calculations of light neutrino Dirac masses, interesting phenomenological implications of the model will be presented.

25 (single-spaced) pages, 11 figures, corrected some typos in Table I, added acknowledgements

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• Consequences of a Pati-Salam unification of the electroweak-scale active ${\nu }_R$ model
• The search for electroweak-scale right-handed neutrinos and mirror charged leptons through like-sign dilepton signals
• The Problem of Large Leptonic Mixing
• Rare K decays in a model of quark and lepton masses
• Unified Supersymmetric Model of Naturally Small Dirac Neutrino Masses and the Axionic Solution of the Strong CP Problem