Fermion masses and mixing angles in extended Anti-GUT model

抄録

What we call the Anti-GUT model is extended a bit to include also right handed neutrinos and thus make use of the see-saw mechanism for neutrino masses. This model consists in assigning gauge quantum numbers to the known Weyl fermions and the three see-saw right handed neutrinos. Each family (generation) is given its own Standard Model gauge fields and a gauged field coupled to the B - L quantum number for that family alone. Further we assign a rather limited number of Higgs fields, so as to break these gauge groups down to the Standard Model gauge group and to fit w.r.t. order of magnitude the spectra and mixing angles of the quarks and leptons. We find a rather good fit, which for neutrino oscillations favour the small mixing angle MSW solution, although the mixing angle predicted is closest to the upper side of the uncertainty range for the measured solar neutrino mixing angle.