Light neutrinos from massless texture and below TeV seesaw scale

Abstract

We present general conditions on Dirac and Majorana mass terms under which a type-I seesaw mechanism can lead to three exactly massless neutrinos at the tree level. We depict several examples where the conditions are satisfied and relate some of them to an underlying U(1) symmetry. We show that higher order corrections may generate the small observed masses and this may be achieved even when the heavy Majorana neutrinos are at the electroweak scale or a little higher.

15 pages, latex, 2 figure (ps), some modifications made

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• Right-Handed Neutrinos at LHC and the Mechanism of Neutrino Mass Generation
• Large Mixing of Light and Heavy Neutrinos in Seesaw Models and the LHC
• Type II seesaw mechanism for Higgs doublets and the scale of new physics

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