On Neutrino Masses and Family Replication

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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RevTex, 12 pages with 1 figure, minor changes to the text and added acknowledgments

Scientific paper

10.1103/PhysRevD.59.113008

The old issue of why there are more than one family of quarks and leptons is reinvestigated with an eye towards the use of anomaly as a tool for constraining the number of families. It is found that, by assuming the existence of right-handed neutrinos (which would imply that neutrinos will have a mass) and a new chiral SU(2) gauge theory, strong constraints on the number of families can be obtained. In addition, a model, based on that extra SU(2), is constructed where it is natural to have one "very heavy" fourth neutrino and three almost degenerate light neutrinos whose masses are all of the Dirac type.

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