sin/sup 2/theta/sub W/,. cap alpha. /sub s/, and the proton lifetime in SU(8) multigenerational grand unification
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), Vol. 30:7
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GRAND UNIFIED THEORY
SU-8 GROUPS
GROUP THEORY
LIFETIME
MASS
PROTONS
RENORMALIZATION
SYMMETRY BREAKING
BARYONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
HADRONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICS
NUCLEONS
PARTICLE MODELS
SU GROUPS
SYMMETRY GROUPS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
645400* - High Energy Physics- Field Theory
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