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We write out the generic Dirac neutrino mass operator which possesses theFriedberg-Lee (FL) symmetry and find that its corresponding neutrino massmatrix is asymmetric. Following a simple way to break the FL symmetry, wecalculate the neutrino mass eigenvalues and show that the resultant neutrinomixing pattern is nearly tri-bimaximal. Imposing the Hermitian condition on theneutrino mass matrix, we also show that the simplified ansatz is consistentwith current experimental data and favors the normal neutrino mass hierarchy.

Generic Friedberg-Lee Symmetry of Dirac Neutrinos