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sin/sup 2/theta/sub W/,. cap alpha. /sub s/, and the proton lifetime in SU(8) multigenerational grand unification

Journal Article · · Phys. Rev. D; (United States)
In the SU(8) theory of multigenerational grand unification in which fermions are assigned to 8/sub L/+28/sub L/+56/sub L/ representations, sin/sup 2/theta/sub W/(M/sub W/) and ..cap alpha../sub s/(M/sub W/) are derived from the renormalization-group equation. The SU(8) symmetry breaks into the generation group SU(3)/sup G/ and the family group SU(5)/sup F/, and further breaks in steps, SU(8)..-->..M-italic/sub A/ SU(3)/sup G/ x SU(5)/sup F/ x U'(1)/sub C/..-->.. M>XSU(3)/sup G/ x SU(3)/sup C/ x SU (2) x U(1)/sub B/ x U(1)/sub C//sup prime/ ..-->..M-italic/sub g/SU(3)/sup C/ x SU(2) x U(1)/sub B/ ..-->..M-italic/sub W/SU(3)/sup C/ x U(1)/sub E/. If the colored Higgs particles are superheavy, the mass (M/sub X/) of the superheavy boson (X) in this model is predicted to be M/sub X/ = M/sub A/ = 1.6--20 times that in the standard SU(5) model, and the mass of the generation boson M/sub r/<2 x 10/sup 3//TeV, for sin/sup 2/theta/sub W/(M/sub W/) = 0.229 +- 0.009 and ..cap alpha../sub s/(M/sub W/) = 0.135 +- 30%. The lifetime (tau/sub p/) for proton decay is longer by a factor of 7 to (2 x 10/sup 5/ than that in the SU(5) model.
Research Organization:
Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 and Department of Physics, Saginaw Valley State College, University Center, Michigan 48710
DOE Contract Number:
AC02-76ER03069
OSTI ID:
6261583
Journal Information:
Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 30:7; ISSN PRVDA
Country of Publication:
United States
Language:
English

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Related Subjects

645201 -- High Energy Physics-- Particle Interactions &amp; Properties-Theoretical-- General &amp; Scattering Theory
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GRAND UNIFIED THEORY
GROUP THEORY
HADRONS
LIE GROUPS
LIFETIME
MASS
MATHEMATICAL MODELS
MATHEMATICS
NUCLEONS
PARTICLE MODELS
PROTONS
RENORMALIZATION
SU GROUPS
SU-8 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES