Grand Unification of Effective Gauge Theories

An effective non-renormalizable SU(3)×SU(2)×U(1) invariant gauge theory results at ordinary energies when superheavy fields are integrated out from a grand unified theory based on a simple gauge group G. The solutions of the second-order renormalization-group equations for the gauge coupling constants of the effective theory are examined. General formulae for the superheavy vector boson mass and for sin 2 θ near M W are given in this approach to grand unification. The superheavy vector boson mass is plotted against the QCD scale parameter Λ for a certain set of grand unified models. Corrections to the prediction when the set of models is enlarged are discussed, and illustrated with examples from G≡SU(5) and O(10).

UNIFIED FIELD THEORY
WEAK INTERACTION: MIXING ANGLE
MIXING ANGLE: WEAK INTERACTION
ELECTROMAGNETIC INTERACTION
STRONG INTERACTION
GAUGE FIELD THEORY: SU(3) X SU(2) X U(1)
GAUGE FIELD THEORY: NONRENORMALIZABLE
RENORMALIZATION GROUP
INTERMEDIATE BOSON: MASS FORMULA
MASS FORMULA: INTERMEDIATE BOSON

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Figures(0)

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