Scaling in the Neutrino Mass Matrix, mu-tau Symmetry and the See-Saw Mechanism

Details Scaling in the Neutrino Mass Matrix, mu-tau Symmetry and the See-Saw Mechanism Scaling in the Neutrino Mass Matrix, mu-tau Symmetry and the See-Saw Mechanism

2009-05-13

arxiv.org/abs/0905.2126v2

Phys.Lett.B678:276-282,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, matches published version

Scientific paper

10.1016/j.physletb.2009.06.035

The scaling hypothesis postulates proportionality of two columns of the Majorana neutrino mass matrix in the flavor basis. This Ansatz was shown to lead to an inverted hierarchy and U_{e3} = 0. We discuss theoretical and phenomenological properties of this hypothesis. We show that (i) the neutrino mass matrix with scaling follows as a consequence of a generalized mu-tau symmetry imposed on the type-I see-saw model; (ii) there exists a unique texture for the Dirac mass matrix m_D which leads to scaling for arbitrary Majorana matrix M_R in the context of the type-I see-saw mechanism; (iii) unlike in the mu-tau symmetric case, a simple model with two right-handed neutrinos and scaling can lead to successful leptogenesis both with and without the inclusion of flavor effects.

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