2002/10/31 by Guido Altarelli, Ferruccio Feruglio, Isabella Masina · 74 citations
Physics and Astronomy · #Hierarchy #Hierarchy problem #Inverse #Inverse problem #Mixing (physics) #Neutrino #Neutrino Physics Research #Particle physics theoretical and experimental studies #Scientific Research and Discoveries #Statistical model #hep-ph
paper · pdf · doi:10.1088/1126-6708/2003/01/035
published in Journal of High Energy Physics 2003(01), 035 (Springer Nature) · v1: 28 pages, 12 figures; v2: 34 pages, 14 figures, updated previous analysis with the inclusion of recent SNO results
openalex publication_date 2003/01/17 · arxiv created 2003/11/24 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a quantitative study of the ability of models with different levels of hierarchy to reproduce the solar neutrino solutions, in particular the LA solution. As a flexible testing ground we consider models based on SU(5)xU(1)F. In this context, we have made statistical simulations of models with different patterns from anarchy to various types of hierachy: normal hierarchical models with and without automatic suppression of the 23 (sub)determinant and inverse hierarchy models. We find that, not only for the LOW or VO solutions, but even in the LA case, the hierarchical models have a significantly better success rate than those based on anarchy. The normal hierachy and the inverse hierarchy models have comparable performances in models with see-saw dominance, while the inverse hierarchy models are particularly good in the no see-saw versions. As a possible distinction between these categories of models, the inverse hierarchy models favour a maximal solar mixing angle and their rate of success drops dramatically as the mixing angle decreases, while normal hierarchy models are far more stable in this respect.