We calculate the generational mass splitting of neutrinos in high temperature SU (2) L ⊗ U (1) gauge theory when the temperature is above 250 GeV and the gauge symmetry is restored. We consider the case of neutrinos that are massless at tree level as well as the case of neutrinos with tree-level mass and large mixing.
Possible symmetry-breaking patterns of SU(8) into SUc(3 ) X SUL(2) X Uy( 1) and their mass scales, consistent with known values of a3 and sin20w, are examined and most are found to be nearly equivalent to direct breaking of SU(8) into SUc(3) X S U L ( 2 ) x U y ( 1). However, there exist patterns in which the intermediate mass scales can be low or completely arbitrary. The method of maximal-subgroup chains is used to determine zerothorder fermion mass relations. These are then renormalized to present energies. It is found that a three-step pattern which eliminates the desert inherent in the SU(5) model in the most interesting way also predicts fermion mass ratios consistent with experiment.
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