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Title: Neutrino mixing in a grand unified theory

Abstract

Neutrino mixing in a grand unified theory in which the neutrino mass matrix is determined by the Gell-Mann-Ramond-Slansky mechanism was investigated. With an arbitrary real right-handed Majorana mass matrix which incorporates three neutrino mass scales, the effects of the up-quark mass matrix are found to be dominant and as a result no significant mixing of ..nu../sub e/ occurs, while ..nu../sub ..mu../ - ..nu../sub ..gamma../ mixing can be substantial.

Authors:
;
Publication Date:
Research Org.:
Ohio State Univ., Columbus (USA). Dept. of Physics
OSTI Identifier:
6789895
Alternate Identifier(s):
OSTI ID: 6789895
Report Number(s):
DOE/ER/01545-289
TRN: 81-007887
DOE Contract Number:
AC02-76ER01545
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ELECTRON NEUTRINOS; MASS; UNIFIED GAUGE MODELS; MAJORANA THEORY; MIXING RATIO; OSCILLATIONS; ELEMENTARY PARTICLES; FERMIONS; LEPTONS; MASSLESS PARTICLES; MATHEMATICAL MODELS; NEUTRINOS; PARTICLE MODELS 645203* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties

Citation Formats

Milton, K., and Tanaka, K.. Neutrino mixing in a grand unified theory. United States: N. p., 1980. Web. doi:10.2172/6789895.
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Milton, K., & Tanaka, K.. Neutrino mixing in a grand unified theory. United States. doi:10.2172/6789895.
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Milton, K., and Tanaka, K.. Tue . "Neutrino mixing in a grand unified theory". United States. doi:10.2172/6789895. https://www.osti.gov/servlets/purl/6789895.
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@article{osti_6789895,
title = {Neutrino mixing in a grand unified theory},
author = {Milton, K. and Tanaka, K.},
abstractNote = {Neutrino mixing in a grand unified theory in which the neutrino mass matrix is determined by the Gell-Mann-Ramond-Slansky mechanism was investigated. With an arbitrary real right-handed Majorana mass matrix which incorporates three neutrino mass scales, the effects of the up-quark mass matrix are found to be dominant and as a result no significant mixing of ..nu../sub e/ occurs, while ..nu../sub ..mu../ - ..nu../sub ..gamma../ mixing can be substantial.},
doi = {10.2172/6789895},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Jan 01 00:00:00 EST 1980},
month = {Tue Jan 01 00:00:00 EST 1980}
}
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Technical Report:
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DOI:  10.2172/6789895
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  • The investigation shows that it is very difficult to achieve neutrino mixing of other than the V/sub ..mu../-..nu../sub tau/ type in any minimal SO(10) model in which neutrino masses are generated by the Gell-Mann-Ramond-Slansky mechanism, because of the severe constraints placed on the mass matrix by quark phenomenology.

  • ;
    It was found previously in SO(10) grand unified theories that if the neutrinos have a Dirac mass and a right-handed Majorana mass (approx. 10/sup 15/GeV) but no left-handed Majorana mass, there is small ..nu../sub e/ mixing but ..nu../sub ..mu../ - ..nu../sub tau/ mixing can be substantial. This problem is reexamined on the basis of a formalism that assumes that the up, down, lepton, and neutrino mass matrices arise from a single complex 10 and a single 126 Higgs boson. This formalism determines the Majorana mass matrix in terms of quark mass matrices. Adopting three different sets of quark mass matricesmore » that produce acceptable fermion mass ratios and Cabbibo mixing produces results consistent with the above; however, in the optimum case, ..nu../sub e/ - ..nu../sub ..mu../ mixing can be of the order of the Cabbibo angle.« less

  • ; - Phys. Rev., D; (United States)
    We have investigated neutrino mixing in a grand unified theory in which the neutrino mass matrix is determined by the Gell-Mann--Ramond--Slansky mechanism. With an arbitrary real right-handed Majorana mass matrix which incorporates three neutrino mass scales, we find that the effects of the up-quark mass matrix are dominant and as a result no significant mixing of ..nu../sub e/ occurs, while ..nu../sub ..mu../-..nu../sub t/ mixing can be substantial.

  • The authors discuss a class of supersymmetric (SUSY) grand unified gauge (GUT) models based on the GUT symmetry G x G or G x G x G, where G denotes the GUT group that has the Standard Model symmetry (SU(3){sub c} x SU(2){sub L} x U(1){sub Y}) embedded as a subgroup. As motivated from string theory, these models are constructed without introducing any Higgs field of rani two or higher. Thus all the Higgs fields are in the fundamental representations of the extended GUT symmetry or, when G = SO(10), in the spinorial representation. These Higgs fields, when acquiring theirmore » vacuum expectation values, would break the extended GUT symmetry down to the Standard Model symmetry. In this dissertation, they argue that the features required of unified models, such as the Higgs doublet-triplet splitting, proton stability, and the hierarchy of fermion masses and mixing angles, could have natural explanations in the framework of the extended SUSY GUTs. Furthermore, they argue that the frameworks used previously to construct SO(10) GUT models using adjoint Higgs fields can naturally arise from the SO(10) x SO(10) and SO(10) x SO(10) x SO(10) models by integrating out heavy fermions. This observation thus suggests that the traditional SUSY GUT SO(10) theories can be viewed as the low energy effective theories generated by breaking the extended GUT symmetry down to the SO(10) symmetry.« less

  • ;
    In Gravity Unified Theories all operators that are consistent with the local gauge and discrete symmetries are expected to arise in the effective low-energy theory. given the absence of multiplets like 126 of S0(10) in string models, and assuming that B - L is violated spontaneously to generate light neutrino masses via a seesaw mechanism, it is observed that string theory solutions genetically face the problem of producing an excessive {nu}{sub L} - {tilde H} mixing mass at the GUT scale, which is some nineteen orders of magnitude larger than the experimental bound of 1 MeV. The suppression of {nu}{submore » L} - {tilde H} mixing, like proton longevity, thus provides one of the most severe restraints on the validity of any string theory solution. We examine this problem in a class of superstring derived models. We find a family of solutions within this class for which the symmetries of the models and an allowed pattern of VEVs, surprisingly, succeed in adequately suppressing the neutrino-Higgsino mixing terms. At the same time they produce the terms required to generate small neutrino masses via seesaw mechanism.« less