An empirical relation between lepton masses from the symmetric permutation group

The automorphism group of the spinor space of the standard model introduces the permutations of S3 in addition to the gauge groups in a unified theory of the elementary particle interactions. The S3 symmetry will be the basis of a theoretical explanation of the inclusion of a fermion term, which transforms under the spin-12 representation of the symmetric permutation group, in the Koide relation for charged leptons. This field is identified with the sterile neutrino, and the mass is compatible with experimental bounds.

Duke Scholars

Author Simon Wilton Davis Neurology, Translational Brain Sciences