Bi-maximal Neutrino Mixing And Anomalous Flavor ${\cal U}(1)$
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We describe how bi-maximal neutrino mixing can be realized in realistic models based on MSSM and SUSY GUTs such as SU(5) and SO(10). A crucial role is played by an anomalous ${\cal U}(1)$ flavor symmetry, which also helps understand the observed charged fermion mass hierarchies and the magnitudes of the CKM matrix elements. While in MSSM a variety of solutions for the solar neutrino puzzle are possible, SUSY SU(5) and SO(10) only permit the large mixing angle MSW solution. Models in which the ${\cal U}(1)$ symmetry also mediates SUSY breaking allow both the large mixing angle and the low MSW solutions.
We also present renormalization group studies for the neutrino mass matrix, generated through the ${\cal U}(1)$ flavor symmetry. Our analysis shows that renormalization does not change the desirable picture of bi-maximal mixing.
To appear in the proceedings of Nato Advanced Study Institute, held in Cascais, Portugal, June 26-July 7, 2000
To appear in the proceedings of Nato Advanced Study Institute, held in Cascais, Portugal, June 26-July 7, 2000