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Supersymmetric extensions of the standard model provide a natural solution to the gauge hierarchy problem
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Supersymmetric extensions of the standard model provide a natural solution to the gauge hierarchy problem 4 and predict correctly the weak mixing angle, i.e. they incorporate the unification of gauge couplings.
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The more complicated problem of the first- and second-generation fermion masses and mixing angles has also been addressed. Several Yukawa textures, in the context of different unified groups, have been studied in the literature. In these extended versions of the theory the high energy couplings must also be adjusted simultaneously to fit the low-energy data. In doing so one can ascertain the dominant operator contributions at the unification scale. See for instance: S. Raby, Introduction to Theories of Fermion Masses, 1994 Summer School in High Energy Physics and Cosmology (World Scientific, Singapore, 1995);
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For convenience a few typical SU(5) representations and their Dynkin indices are listed here: (Formula presented) and (Formula presented)
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For convenience a few typical SU(5) representations and their Dynkin indices are listed here: (Formula presented) and (Formula presented)
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