Gravity-induced large grand-unification mass in SU(5) with higher-dimensional operators
Following the recent method due to Hill, Shafi, and Wetterich, we investigate the impact of higher-dimensional operators (dgreater than or equal to5) induced by gravity and compactification of extra dimensions, on the minimal SU(5) grand unified theory. Modifications caused by the d = 5 operator alone seem to be ruled out, even if the compactification scale M/sub C/ is as low as 10/sup 17/ GeV, as they require sin/sup 2/theta/sub W/less than or equal to0.203 in conflict with the present world average. The addition of a six-dimensional operator is found to allow only high unification masses M/sub U/approx.(0.1--1)M/sub C/, with M/sub C/ = 10/sup 17/--10/sup 19/ GeV and sin /sup 2/theta/sub W/approx. =0.22--0.24. The grand-unification coupling constant is also found to be significantly smaller.
- Research Organization:
- Department of Physics, North-Eastern Hill University, Shillong 793 003, India
- OSTI ID:
- 6794058
- Journal Information:
- Phys. Rev. D; (United States), Vol. 39:1
- Country of Publication:
- United States
- Language:
- English
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GRAND UNIFIED THEORY
MANY-DIMENSIONAL CALCULATIONS
SU-5 GROUPS
COUPLING CONSTANTS
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MASS
PROTONS
SO GROUPS
SU-2 GROUPS
SU-3 GROUPS
SUPERSYMMETRY
U-1 GROUPS
BARYONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
HADRONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
NUCLEONS
PARTICLE MODELS
SU GROUPS
SYMMETRY
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U GROUPS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
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