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Phys. Rev. Lett. 81, 1167–1170 (1998)

Minimality Condition and Atmospheric Neutrino Oscillations

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Carl H. Albright1a,1b, K. S. Babu2, and S. M. Barr3,*
1aDepartment of Physics, Northern Illinois University, DeKalb, Illinois 60115
1band Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510
2School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540
3Bartol Research Institute, University of Delaware, Newark, Delaware 19716

Received 23 February 1998; published in the issue dated 10 August 1998

A structure is proposed for the mass matrices of the quarks and leptons that arises in a natural way from the assumption that the breaking of SO(10) gauge symmetry is achieved by the smallest possible set of vacuum expectation values. This structure explains well many features of the observed spectrum of quarks and leptons. It reproduces the Georgi-Jarlskog mass relations and leads to a charm quark mass in reasonable agreement with data. It also predicts a large mixing angle between νμ and ντ, as suggested by atmospheric neutrino data. The mixing angles of the electron neutrino are predicted to be small.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.81.1167
DOI:
10.1103/PhysRevLett.81.1167
PACS:
12.15.Ff, 12.10.Dm, 12.60.Jv, 14.60.Pq

*Permanent address.