Study of SU(3) X SU(2) X U(1) X U(1) as an intermediate energy subgroup of SO(10)

Thesis/Dissertation · Fri Jan 01 04:00:00 EST 1982

OSTI ID:5005351

Fogleman, G C

SO(10) Grand Unification symmetry breaking patterns which have SU(3) X SU(2) X U(1) X U(1) as an intermediate energy symmetry group are analyzed. The renormalization group prediction of this model for the weak mixing angle, sin/sup 2/theta/sub w/, is consistent with the experimental value of sin/sup 2/theta/sub w/ appropriate for the SU(2) X U(1) X U(1) extended electroweak model if the assumption that M/sub x/ = M/sub u/ is made. The experimental value of sin/sup 2/theta/sub w/ appropriate to this model is determined by fitting free parameters of the extended electroweak model to neutral current experimental data. The predictions from the renormalization group equations for the lifetime of the proton are, however, below present experimental upper limits. Predictions for the lifetime of the proton can be made above experimental upper limits if M/sub x/ is made a free parameter (i.e. if the assumption that M/sub x/ = M/sub u/ is dropped). Doing this, however, increases the predicted value of the sin/sup 2/theta/sub w/ to such an extent that it is no longer consistent with the experimental value. In order to see any of the above inconsistencies with experiment it is necessary to include the effects of the Higgs bosons in the renormalization group equations. The above results are shown for the case where the only Higgs used in the breakings at M' and M/sub w/ are those necessary to give mass to the fermions. Thus, the Grand Unified Theory based on SO(10) with SU(3) X SU(2) X U(1) X U(1) as an intermediate symmetry group and with simplest Higgs is ruled out by presently available neutral current data and by limits on the proton lifetime.

• Research Organization: Indiana Univ., Bloomington (USA)
• OSTI ID: 5005351
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
BARYONS
BOSONS
CABIBBO ANGLE
CURRENTS
DECAY
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GRAND UNIFIED THEORY
HADRONS
HIGGS BOSONS
INTERMEDIATE BOSONS
LIE GROUPS
MATHEMATICAL MODELS
NEUTRAL CURRENTS
NUCLEONS
PARTICLE DECAY
PARTICLE MODELS
POSTULATED PARTICLES
PROTONS
RENORMALIZATION
SEMILEPTONIC DECAY
SO GROUPS
SO-10 GROUPS
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
WEAK NEUTRAL CURRENTS
WEAK PARTICLE DECAY