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A Statistical Approach to Leptonic Mixings and Neutrino Masses

2001/11/28 by Francesco Vissani, Vissani, Francesco
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0111373

8 pages, 1 figure. Presented at the XI-th International School "Particles and Cosmology" April 18-24, 2001, Baksan Valley

arxiv created 2001/11/28 · openalex publication_date 2001/11/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Based on existing data, we argue for a peculiar structure of the neutrino mass matrix, that has a block of relatively large elements--a dominant block. We analyze this ansatz and extract its predictions, assuming that the O(1) coefficients (that are needed to define the model fully) are random variables. Further insights are obtained by postulating that this structure of the mass matrix is due to U(1) selection rules, a la Froggatt and Nielsen. A particularly interesting case emerges, when the angle theta(13) (namely, the mixing U(e3)) is within reach for next generation experiments, and the large mixing angle solution for solar neutrinos is the preferred one.

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