2007/12/17 by Midori Obara, Obara, Midori · 2 citations
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics #hep-ph
paper · pdf · doi:10.48550/arxiv.0712.2628
27 pages, 1 figure, references added with minor changes
openalex publication_date 2007/12/17 · arxiv created 2007/12/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We classify the textures of the Dirac and the right-handed Majorana neutrino mass matrices, MD and MR, which can satisfy the so-called ``Strong Scaling Ansatz'' (SSA) within the framework of the seesaw mechanism Mν=-MDT MR-1 MD. We assume that the Dirac neutrino mass matrix has some texture zeros and examine which elements should be zero in order to satisfy the SSA, by taking into account all possible textures for MR. We find that the resulting Dirac neutrino mass matrices have rank 2 as well as the rank of the effective neutrino mass matrix Mν, or rank 1, depending only on the textures of MR-1. We also consider the three cases of the breaking of the SSA by introducing a complex breaking parameter in Mν and show that it can generate the CP violation in the lepton sector as well as non-zero m3 and Ue3. We furthermore discuss the implications of the thermal leptogenesis for the both case which satisfies and breaks the SSA in the basis where MR is diagonal.