A simple connection between neutrino oscillation and leptogenesis

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Abstract
The usual see-saw formula is modified by the presence of two Higgs triplets in left-right symmetric theories. The contribution to the see-saw formula coming from the Higgs triplet can completely dominate over the conventional see-saw contribution if the neutrino Dirac mass matrix is identified with the charged lepton or down quark mass matrix. This fact allows an analytical calculation of the baryon asymmetry generated by the decay of the lightest right-handed Majorana neutrino. For typical parameters the out-of-equilibrium condition for the decay is automatically fulfilled and the baryon asymmetry has the correct order of magnitude, as long as the lightest mass eigenstate is not much lighter then 10^{-6} to 10^{-8} eV, depending on the solution of the solar neutrino problem. A sizable signal in neutrinoless double beta decay can be expected, as long as the smallest mass eigenstate is not much lighter than 10^{-3} eV and the Dirac mass matrix is identified with the charged lepton mass matrix.

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