Symmetries and fermion masses

Abstract

We discuss whether quark, charged lepton and neutrino masses and mixing angles may be related by an extended flavour and family symmetry group. We show that current measurements of all fermion masses and mixing angles are consistent with a combination of an underlying SU(3) family symmetry together with a GUT symmetry such as SO(10). In this the near bi-maximal mixing observed in the neutrino sector is directly related to the small mixing observed in the quark sector, the difference between quark and lepton mixing angles being due to the see-saw mechanism. Using this connection we make a detailed prediction for the lepton mixing angles determining neutrino oscillation phenomena.

24 pages, 1 figure. To be submitted to Nucl. Phys. B

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