2004/01/31 by G.G. Ross, Graham G. Ross, Liliana Velasco-Sevilla +2 · 8 citations
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph
paper · pdf · doi:10.1016/j.nuclphysb.2004.05.020
published as Nucl.Phys. B692 (2004) 50-82 · 31 pages, 2 figures. Several typos and notation inconsistencies corrected. Discusion of vacuum alignment improved and a mistake in the calculation of the transformations to canonical Kahler removed. Physical results completely unchanged. Accepted version for publication in Nucl. Phys. B
arxiv created 2004/05/11 · openalex publication_date 2004/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We analyse the properties of generic models based on an SU(3) family symmetry providing a full description of quark charged lepton and neutrino masses and mixing angles. We show that a precise fit of the resulting fermion textures is consistent with CP being spontaneously broken in the flavour sector. The CP violating phases are determined by the scalar potential and we discuss how symmetries readily lead to a maximal phase controlling CP violation in the quark sector. In a specific model the CP violation to be expected in the neutrino sector is related to that in the quark sector and we determine this relation for two viable models. In addition to giving rise to the observed structure of quark and lepton masses this class of model solves both the CP and flavour problems normally associated with supersymmetric models. The flavour structure of the soft supersymmetry breaking terms is controlled by the family symmetry and we analyse some of the related phenomenological implications.