Are the neutrino masses and mixings closely related to the masses and mixings of quarks?
Abstract
The mass matrices of quarks have a simple structure if expressed in powers of the small parameter σ=(mc/mt)1/2. If there is a close relation between quarks and leptons, one would expect similar structures for the lepton matrices which involve the same parameter. To have a specific proposal, the see-saw mechanism is employed together with the stringent requirement that the singlet neutrinos carry non-zero generation charges. These charges then determine the powers of σ in the corresponding heavy neutrino mass matrix. As a result, the neutrino mixing matrix turns out to be of the bimaximal type. In addition, the mass splitting of the two lightest neutrinos is found to be tiny, and just of the correct magnitude necessary for the vacuum solution for solar neutrinos.
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