Abstract

It is pointed out that there exists a residual discrete symmetry when a grand unified gauge group is broken down to G 1=SU(3)×SU(2)×U(1) at a mass scale of the order of 10 15 GeV through a concrete Higgs mechanism. This residual symmetry prevents some fermions from receiving masses of the order of 10 15 GeV, so the gauge group can accommodate more low-mass fermions. We discuss some examples based on the Higgs mechanism with residual symmetry.

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