Scaling in the Neutrino Mass Matrix

Details Scaling in the Neutrino Mass Matrix Scaling in the Neutrino Mass Matrix

2006-08-10

arxiv.org/abs/hep-ph/0608111v4

Phys.Lett.B644:59-66,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 2 figures. To appear in PLB

Scientific paper

10.1016/j.physletb.2006.11.024

In an attempt to uncover any underlying structure in the neutrino mass matrix, we discuss the possibility that the ratios of elements of its Majorana mass matrix are equal. We call this "strong scaling Ansatz" for neutrino masses and study its phenomenological implications. Of three possible independent scale invariant possibilities, only one is allowed by current data, predicting in a novel way the vanishing of U_{e3} and an inverted hierarchy with the lightest neutrino having zero mass. The Ansatz has the additional virtue that it is not affected by renormalization running. We also discuss explicit models in which the scaling Ansatz is realized.

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