2001/09/30 by M. Lindner, Manfred Lindner, Tommy Ohlsson +1 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Dirac (video compression format) #Geometry #Homogeneous space #MAJORANA #Majorana equation #Mass matrix #Mathematics #Matrix (chemical analysis) #Neutrino #Neutrino Physics Research #Neutrino oscillation #Particle physics #Particle physics theoretical and experimental studies #Physics #Seesaw mechanism #Seesaw molecular geometry #Sterile neutrino #Theoretical physics #hep-ph
paper · pdf · doi:10.1103/physrevd.65.053014
published as Phys.Rev. D65 (2002) 053014 · 12 pages, RevTeX. Final version to be published in Phys. Rev. D
arxiv created 2001/11/17 · openalex publication_date 2002/02/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the seesaw mechanism for generally non-fine-tuned n\ifmmode×\else\texttimes\fin 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 seesaw mechanism. In particular, we study 4\ifmmode×\else\texttimes\fi4 and 6\ifmmode×\else\texttimes\fi6 mass matrix textures and give some examples in order to highlight these types of texture. Next, we present a model scheme based on non-Abelian and discrete symmetries satisfying 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.