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Title: Neutrino oscillations from discrete non-Abelian family symmetries

Technical Report ·
DOI:https://doi.org/10.2172/10105470· OSTI ID:10105470

The author discusses a SUSY-GUT model with a non-Abelian discrete family symmetry that explains the observed hierarchical pattern of quark and lepton masses. This SO(10) {times} {Delta}(75) model predicts modified quadratic seesaw neutrino masses and mixing angles which are interesting for three reasons: (1) they offer a solution to the solar neutrino problem, (2) the tau neutrino has the right mass for a cosmologically interesting hot dark matter candidate, and (3) they suggest a positive result for the {nu}{sub {mu}} {yields} {nu}{sub {tau}} oscillation searches by the CHORUS and NOMAD collaborations. However, the model shares some problems with many other predictive GUT models of quark and lepton masses. Well-known and once successful mass and angle relations, such as the SU(5) relation {lambda}{sub b}{sup GUT} = {lambda}{sub t}{sup GUT}, are found to be in conflict with the current experimental status. Attempts to correct these relations seem to lead to rather contrived models.

Research Organization:
Washington Univ., Seattle, WA (United States). Inst. for Nuclear Theory
Sponsoring Organization:
USDOE, Washington, DC (United States)
DOE Contract Number:
FG06-90ER40561
OSTI ID:
10105470
Report Number(s):
DOE/ER/40561-168; ON: DE95004355; IN: INT94-00-74; BR: 35KB01000/KB0300000; TRN: AHC29503%%142
Resource Relation:
Other Information: PBD: Nov 1994
Country of Publication:
United States
Language:
English

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