See-saw Mechanisms for Dirac and Majorana Neutrino Masses

Details See-saw Mechanisms for Dirac and Majorana Neutrino Masses See-saw Mechanisms for Dirac and Majorana Neutrino Masses

2001-09-27

arxiv.org/abs/hep-ph/0109264v2

Phys.Rev. D65 (2002) 053014

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, RevTeX. Final version to be published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.65.053014

We investigate the see-saw mechanism for generally non-fine-tuned $n \times n$ mass matrices involving both Dirac and Majorana neutrinos. We specifically show that the number of naturally light neutrinos cannot exceed half of the dimension of the considered mass matrix. Furthermore, we determine a criterion for mass matrix textures leading to light Dirac neutrinos with the see-saw mechanism. Especially, we study $4 \times 4$ and $6 \times 6$ mass matrix textures and give some examples in order to highlight these types of textures. Next, we present a model scheme based on non-Abelian and discrete symmetries fulfilling the above mentioned criterion for light Dirac neutrinos. Finally, we investigate the connection between symmetries and the invariants of a mass matrix on a formal level.

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