by
Gerard Stephenson(LANL, University of New Mexico)
→
Pacific/Honolulu
112 (WAT)
112
WAT
Description
For the known fermions carrying electric charge, leptons (e, mu, tau) and quarks (u, c, t) and (d, s, b), the Higgs coupling between the Weyl omponents active under the SU(2)_W and the Weyl components sterile under that interaction produce Dirac masses. The observation that the Higgs cannot distinguish among the sterile Weyl spinors suggests that, for each family, the 3x3 mass matrix should, to lowest order, be democratic. This produces the dominant feature of each spectrum, namely one massive eigenstate and two negligible masses. The difference of the lightest masses from zero may be attributed to perturbative corrections from physics beyond the standard model. I shall show that, for the quarks, the differences in the spectral ratios allows for CKM mixing, with the smallness of the non-Cabbibo mixing following from the ratio of the middle to large masses and the Cabbibo mixing allowed by the diagonalization process. The lepton mixing is more complicated, due to the possibility of Majorana mass terms, specifically in the sterile neutrino sector. I shall show that, for a range of possible assumptions about the sterile sector, the PMNS matrix would be expected to be nearly, but not exactly, of a tri-bi-maximal form. This work has been done in collaboration with Terry Goldman of LANL.
