Fermion Masses and Bi-large Lepton Mixing from Singular Matrices
Abstract
Description
We discuss conditions under which bi-large mixing in the lepton sector is achieved assuming that all Yukawa matrices and the right-handed neutrino mass matrix have the same singular form in the leading order. Due to obvious quark lepton symmetry, this approach can be embedded into grand unified theories. The right-handed neutrino mass scale can be identified with the GUT scale and, as a consequence of third generation Yukawa coupling unification, the mass of the lightest neutrino is given as (m_{top}^2/M_{GUT})|U_{τ1}|^2 in the leading order. This relation does not depend on the exact form of mass matrices.
4 pages, to appear in the proceedings of SUSY 2004: The 12th International Conference on Supersymmetry and Unification of Fundamental Interactions, Tsukuba, Japan, June 17-23, 2004
4 pages, to appear in the proceedings of SUSY 2004: The 12th International Conference on Supersymmetry and Unification of Fundamental Interactions, Tsukuba, Japan, June 17-23, 2004