Neutrino masses and proton decay modes in SU(3) x SU(3) x SU(3) trinification

Journal Article · Sat Feb 01 00:00:00 EST 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.33.763· OSTI ID:6364276

Babu, K S; He, X; Pakvasa, S

A detailed study of the Higgs potential and the Higgs-fermion Yukawa couplings in the SU(3) x SU(3) x SU(3) trinification model proposed by de Rujula, Georgi, and Glashow is carried out. Spontaneous symmetry breakdown to SU(3) x SU(2) x U(1) is analyzed, stability of the ground-state vacuum assured, and the Higgs- and gauge-boson mass matrices exhibited. The most economical method of generating all fermion masses and mixings is given. The large corrections to the masses of the neutral leptons are worked out at the one- and two-loop levels and shown to be stable. The new neutral leptons (neutrettos) turn out to be rather heavy (approx.100 TeV). The mass hierarchy of the neutrinos is ..nu../sub tau/>..nu../sub ..mu../>..nu../sub e/. $nu sub tau: can be a few keV, ..nu../sub ..mu../ a few eV, and ..nu../sub e/approx.10/sup -4/ eV. The ..nu../sub e/-..nu../sub ..mu../ mixing angle is about 10/sup -2/. The dominant proton-decay modes are p..-->..K/sup +/nu-bar/sub ..mu../ and p..--> pi../sup 0/..mu../sup +/ with possibly comparable rates. Other modes are suppressed. For example, GAMMA(p..--> pi../sup +/nu-bar/sub ..mu../)/ GAMMA(p..-->..K/sup +/nu-bar/sub ..mu../)approx.10/sup -2/, GAMMA(p..-->..e/sup +/..pi../sup 0/)/GAMMA(p..--> mu../sup +/..pi../sup 0/ )approx.(1/14), and p..-->..K/sup 0/..mu../sup +/ is absent.

• Research Organization: Department of Physics and Astronomy, University of Hawaii at Manoa, Honolulu, Hawaii 96822
• DOE Contract Number: AM03-76SF00235
• OSTI ID: 6364276
• Journal Information: Phys. Rev. D; (United States), Vol. 33:3
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
NEUTRINOS
MASS
PROTONS
DECAY
BRANCHING RATIO
FERMIONS
HIGGS MODEL
KOBAYASHI-MASKAWA MATRIX
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY BREAKING
U-1 GROUPS
BARYONS
ELEMENTARY PARTICLES
FIELD THEORIES
HADRONS
LEPTONS
LIE GROUPS
MASSLESS PARTICLES
MATHEMATICAL MODELS
MATRICES
NUCLEONS
PARTICLE MODELS
SU GROUPS
SYMMETRY GROUPS
U GROUPS
UNIFIED-FIELD THEORIES
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