Scaling in the Neutrino Mass Matrix

Abstract

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.

13 pages, 2 figures. To appear in PLB

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• Charged Lepton Corrections to Scaling Neutrino Mixing
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• Renormalization group evolution of neutrino mixing parameters near ${\theta }_{13}=0$ and models with vanishing ${\theta }_{13}$ at the high scale
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• Bi-pair Neutrino Mixing
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• Generalized Scaling Ansatz and Minimal Seesaw Mechanism
• Neutrino Hierarchies from a Gauge Symmetry
• Lower Bounds on U_{e3}
• Representing seesaw neutrino models and their motion in lepton flavour space
• Corrections to Scaling Neutrino Mixing: Non-zero ${\theta }_{13},{\delta }_{CP}$ and Baryon Asymmetry
• Flavor Neutrino Masses giving sinθ_{13}=0
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