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We study a supersymmetric SU(5) model with the extra Higgs multiplets of45+\bar 45. The unification of the gauge couplings, the fermion masses and theproton lifetime are discussed in details. The dimension-five operators mediatedby different colored Higgs sector can be destructive with each other. Thiseffect serves a way of solving the longevity of proton. We analytically analyzethis destructive effect in a special limit where the mixing between the 5- and45-plets is small. Although the theory does not hold in this special limit, itis a revelatory starting point. We can relax this limit and retain thedestructive effect. In a generalized parameter space, this model is in accordwith experimental results.

Study of non-minimal SUSY SU(5) model with realistic fermion sectors