Seesaw Options for Three Neutrinos

Details Seesaw Options for Three Neutrinos Seesaw Options for Three Neutrinos

2009-07-16

arxiv.org/abs/0907.2737v2

Phys.Lett.B683:178-182,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 11 Pages with 1 figure. Some minor modifications and a reference added

Scientific paper

10.1016/j.physletb.2009.12.012

The seesaw mechanism for three neutrinos is discussed, clarifying the situation where the seesaw texture results in three approximately zero mass eigenvalues. The true underlying mechanism is shown to be just the $inverse$ (or $linear$) seesaw, which explains why there could be large mixing. However, these zeroes cannot occur naturally, unless there is a conserved symmetry, i.e. lepton number $L$, either global or gauged, which is softly or spontaneously broken at the TeV scale. We discuss in particular the case where the three heavy singlet neutrinos have $L=3,-2,-1$.

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